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Katanaev, Mikhail Orionovich

Total publications: 85 (83)
in MathSciNet: 57 (57)
in zbMATH: 35 (35)
in Web of Science: 65 (65)
in Scopus: 61 (61)
Cited articles: 61
Citations: 1263
Presentations: 129

Number of views:
This page:9484
Abstract pages:15827
Full texts:8706
References:1566
Katanaev, Mikhail Orionovich
Head Scientist Researcher
Doctor of physico-mathematical sciences (1995)
Speciality: 01.01.03 (Mathematical physics)
Birth date: 7.02.1954
E-mail:
Keywords: differential geometry, gravity models, geometric theory of defects.
UDC: 514.762, 514.764, 517.958, 531.51
MSC: 53b30, 53b50, 53c20, 53c25, 53c50, 53c80, 74b99, 83c15, 83c40, 83c80

Subject:

Integrable two-dimensional gravity model is proposed (with I. V. Volovich). Conformal block method for construction of global solutions in gravity is developed for arbitrary two-dimensional metrics admitting one Killing vector field. Geometric theory of defects (dislocations and disclinations) in elastic media is proposed (with I. V. Volovich). The media with defects is shown to correspond to Riemann–Cartan manifold. Torsion and curvature tensors are interpreted as the surface densities of Burgers and Frank vectors, respectively. Full classification of global solutions to vacuum Einstein equations with cosmological constant is given under the assumptions that four-dimensional space-time is a product of two surfaces and the metric has a block diagonal form (with T. Klosch and W. Kummer). The found pseudo-riemannian manifolds include solutions describing black holes, worm holes, cosmic strings, domain walls of curvature singularities.

Biography

Graduated from Faculty of Theoretical and Experimental Physics of Moscow State Engineering Physical Institute (department of Theoretical Nuclear Physics). Ph.D. obtained in 1985 at Steklov Mathematical Institute. D.Sci. degree obtained in 1995 at Steklov Mathematical Institute. Published more than 80 papers.

   
Main publications:
  1. M. O. Katanaev, Geometrical methods in mathematical physics, Manuscript in Russian. Extended version of lectures delivered at the Academic Educational Center at Steklov Mathematical Institute during seven semesters, 2016 , xvi+1570 pp., arXiv: 1311.0733v3
  2. M. O. Katanaev, “Geometric theory of defects”, Phys. Usp., 48:7 (2005), 675–701  mathnet  crossref  crossref  adsnasa  isi  elib  elib  scopus
  3. M. O. Katanaev, “Effective action for scalar fields in two-dimensional gravity”, Ann. Physics, 296:1 (2002), 1–50 , arXiv: gr-qc/0101033  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
  4. M. O. Katanaev, I. V. Volovich, “Theory of defects in solids and three-dimensional gravity”, Ann. Physics, 216:1 (1992), 1–28  crossref  mathscinet  zmath  adsnasa  isi  scopus
  5. M. O. Katanaev, I. V. Volovich, “String model with dynamical geometry and torsion”, Phys. Lett. B, 175:4 (1986), 413–416 , arXiv: hep-th/0209014  crossref  mathscinet  adsnasa  isi  elib  scopus

https://www.mathnet.ru/eng/person17481
https://scholar.google.com/citations?user=uQ8Gfj0AAAAJ&hl=en
https://zbmath.org/authors/ai:katanaev.michael-o
https://mathscinet.ams.org/mathscinet/MRAuthorID/192626
https://elibrary.ru/author_items.asp?authorid=4629
https://orcid.org/0000-0002-7223-1073
https://www.webofscience.com/wos/author/record/K-2943-2013
https://www.scopus.com/authid/detail.url?authorId=6602082277
https://www.researchgate.net/profile/Mikhail_Katanaev
https://arxiv.org/a/http://arxiv.org/a/katanaev_m_1
inSPIRE personal page (High Energy Physics (HEP) information system)

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   2024
1. M. O. Katanaev, “Reply to Comments on the article 'M O Katanaev, Complete separation of variables in the geodesic Hamilton–Jacobi equation in four dimensions, Physica Scripta (2023), 98, 104001' by V V Obukhov, K E Osetrin, and A V Shapovalov”, Phys. Scr., 99:6 (2024), 067001 , 2 pp.  mathnet  crossref  isi
2. M. O. Katanaev, “Separation of variables in the Hamilton–Jacobi equation for geodesics in two and three dimensions”, Theoret. and Math. Phys., 218:2 (2024), 264–275  mathnet  crossref  crossref  mathscinet  adsnasa  isi  scopus

   2023
3. M. O. Katanaev, “'t Hooft–Polyakov monopoles and a general spherically symmetric solution of the Bogomolny equations”, Modern Phys. Lett. A, 38:16-17 (2023), 2350082 , 8 pp.  mathnet  crossref  mathscinet;
4. Mikhail O. Katanaev, Alexander V. Mark, “Combined Screw and Wedge Dislocations”, Universe, 9:12 (2023), 500 , 14 pp.  mathnet  crossref;
5. M. O. Katanaev, “Complete separation of variables in the geodesic Hamilton–Jacobi equation in four dimensions”, Phys. Scr., 98:10 (2023), 104001 , 61 pp., arXiv: 2311.12907  mathnet  crossref  isi; 2

   2022
6. M. O. Katanaev, “On spherically symmetric 't Hooft Polyakov monopoles”, Int. J. Mod. Phys. A, 37:20-21 (2022), 2243012 , 14 pp.  mathnet  crossref  mathscinet; 1

   2021
7. M. O. Katanaev, “Disclinations in the Geometric Theory of Defects”, Proc. Steklov Inst. Math., 313 (2021), 78–98 , arXiv: 2108.07177v1  mathnet  crossref  crossref  isi  elib  scopus
8. M. O. Katanaev, “Gravity with dynamical torsion”, Class. Quantum Grav., 38:1 (2021), 015014 , 10 pp.  mathnet  crossref  adsnasa  isi  scopus; 3
9. M. O. Katanaev, “On the existence of the global conformal gauge in string theory”, Eur. Phys. J. C, Part. Fields, 81 (2021), 581 , 10 pp., arXiv: 1912.08052  mathnet  crossref  mathscinet  adsnasa  isi  scopus;
10. M. O. Katanaev, “Global conformal gauge in string theory”, Phys. Lett. B, 816 (2021), 136246 , 5 pp., arXiv: 2106.05839  mathnet  crossref  isi  scopus; 1
11. Mikhail O. Katanaev, “Spin distribution for the ’t Hooft–Polyakov monopole in the geometric theory of defects”, Universe, 7:8 (2021), 256 , 7 pp.  mathnet  crossref  adsnasa  isi  scopus; 4
12. M. O. Katanaev, “Spherically symmetric 't Hooft–Polyakov monopoles”, Eur. Phys. J. C, Part. Fields, 81 (2021), 825 , 4 pp.  mathnet  crossref  mathscinet  adsnasa  isi  scopus; 2

   2020
13. M. O. Katanaev, “Nonrelativistic Limit of the Bosonic String”, Proc. Steklov Inst. Math., 309 (2020), 183–193  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
14. M. O. Katanaev, “The `t Hooft–Polyakov monopole in the geometric theory of defects”, Mod. Phys. Lett. B, 34:12 (2020), 2050126  mathnet  crossref  adsnasa  isi  scopus; 8
15. D. E. Afanasev, M. O. Katanaev, “Global properties of warped solutions in general relativity with an electromagnetic field and a cosmological constant. II”, Phys. Rev. D, 101:12 (2020), 124025 , 20 pp., arXiv: 2006.09209  mathnet  crossref  mathscinet  adsnasa  isi  scopus;
16. D. E. Afanasev, M. O. Katanaev, “On global properties of warped solutions in General Relativity with an electromagnetic field and a cosmological constant”, Proc. of Sci., 376 (2020), 1–14  mathnet  crossref;
17. M. O. Katanaev, B. O. Volkov, “Point disclinations in the Chern–Simons geometric theory of defects”, Mod. Phys. Lett. B, 34:1 (2020), 2150012 , 14 pp. arXiv:1908.08473v1 [math-ph]  mathnet  crossref  mathscinet  adsnasa  isi  scopus; 5

   2019
18. M. O. Katanaev, “Gauge Parameterization of the $n$-Field”, Proc. Steklov Inst. Math., 306 (2019), 127–134 , arXiv: physics/2001.08110  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
19. D. E. Afanasev, M. O. Katanaev, “Global properties of warped solutions in general relativity with an electromagnetic field and a cosmological constant”, Phys. Rev. D, 100:2 (2019), 024052 , 16 pp., arXiv: 1904.04648  mathnet  crossref  mathscinet  adsnasa  isi 1
20. Matematicheskaya fizika i prilozheniya, Sbornik statei. K 95-letiyu so dnya rozhdeniya akademika Vasiliya Sergeevicha Vladimirova, Trudy MIAN, 306, ed. I. V. Volovich, M. O. Katanaev, MIAN, M., 2019 , 352 pp.  mathnet

   2018
21. M. O. Katanaev, “Chern–Simons Action and Disclinations”, Proc. Steklov Inst. Math., 301 (2018), 114–133  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
22. M. O. Katanaev, Lekts. Kursy NOC, 29, 2018, 3–364  mathnet  mathnet  crossref  mathscinet  elib
23. M. O. Katanaev, “Description of Disclinations and Dislocations by the Chern–Simons Action for $SO(3)$-Connection”, Phys. Part. Nucl., 49:5 (2018), 890–893  mathnet  crossref  mathscinet  isi  elib  scopus
24. Kompleksnyi analiz, matematicheskaya fizika i prilozheniya, Sbornik statei, Trudy MIAN, 301, ed. A. I. Aptekarev, M. O. Katanaev, S. P. Suetin, MAIK «Nauka/Interperiodika», M., 2018 , 335 pp.  mathnet

   2017
25. M. O. Katanaev, “Cosmological models with homogeneous and isotropic spatial sections”, Theoret. and Math. Phys., 191:2 (2017), 661–668  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
26. M. O. Katanaev, “Chern–Simons term in the geometric theory of defects”, Phys. Rev. D, 96 (2017), 84054 , 8 pp., arXiv: math-ph/1705.07888  mathnet  crossref  mathscinet  isi  elib  scopus 8
27. M. O. Katanaev, “Mathematical foundations of general relativity. Part 1”, Mathematical foundations of general relativity. Part 1, Lekts. Kursy NOC, 28, Steklov Math. Institute of RAS, Moscow, 2017, 3–312  mathnet  mathnet  crossref  mathscinet  elib  elib

   2018
28. M. O. Katanaev, “Normal coordinates in affine geometry”, Lobachevskii Journal of Mathematics, 39:3 (2018), 464–476  mathnet  crossref  mathscinet  isi  isi  elib  scopus

   2016
29. M. O. Katanaev, Geometrical methods in mathematical physics, Manuscript in Russian. Extended version of lectures delivered at the Academic Educational Center at Steklov Mathematical Institute during seven semesters, 2016 , xvi+1570 pp., arXiv: 1311.0733v3
30. M. O. Katanaev, “Rotational elastic waves in a cylindrical waveguide with wedge dislocation”, J. Phys. A, 49:8 (2016), 85202 , 8 pp., arXiv: cond-mat/1502.07935  mathnet  crossref  mathscinet  isi  elib  scopus 3
31. M. O. Katanaev, “Killing vector fields and a homogeneous isotropic universe”, Phys. Usp., 59:7 (2016), 689–700 , arXiv: gr-qc/1610.05628  mathnet  crossref  crossref  adsnasa  isi  elib  elib  scopus

   2015
32. M. O. Katanaev, Geometrical methods in mathematical physics. Applications in quantum mechanics. Part 2, Lekts. Kursy NOC, 26, Steklov Math. Institute of RAS, Moscow, 2015 , 186 pp.  mathnet  mathnet  crossref  elib
33. M. O. Katanaev, Geometrical methods in mathematical physics. Applications in quantum mechanics. Part 1, Lekts. Kursy NOC, 25, Steklov Math. Institute of RAS, Moscow, 2015 , 176 pp.  mathnet  mathnet  crossref  elib
34. M. O. Katanaev, “Rotational elastic waves in double wall tube”, Phys. Lett. A, 379:24–25 (2015), 1544–1548 , arXiv: 1503.01759  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 3
35. M. O. Katanaev, “Lorentz Invariant Vacuum Solutions in General Relativity”, Proc. Steklov Inst. Math., 290 (2015), 138–142 , arXiv: physics/1602.06331  mathnet  crossref  crossref  isi  elib  elib  scopus
36. M. O. Katanaev, “On homogeneous and isotropic universe”, Mod. Phys. Lett. A, 30:34 (2015), 1550186 , 5 pp., arXiv: gr-qc/1511.00991  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 5

   2014
37. M. O. Katanaev, “Passing the Einstein–Rosen bridge”, Mod. Phys. Lett. A, 29:17 (2014), 1450090 , 7 pp., arXiv: 1310.7390  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus 5

   2013
38. M. O. Katanaev, “Point massive particle in general relativity”, Gen. Rel. Grav., 45:10 (2013), 1861–1875 , arXiv: 1207.3481  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 15

   2012
39. M. O. Katanaev, I. G. Mannanov, “Wedge dislocations, three-dimensional gravity, and the Riemann–Hilbert problem”, Phys. Part. Nucl., 43 (2012), 639–643  mathnet  crossref  mathscinet  mathscinet  isi  elib  scopus
40. M. O. Katanaev, I. G. Mannanov, “Wedge dislocations and three-dimensional gravity”, p-Adic Numb. Ultramet. Anal. Appl., 4:1 (2012), 5–19  mathnet  crossref  crossref  mathscinet  zmath  elib  scopus 1

   2011
41. M. O. Katanaev, “Simple proof of the adiabatic theorem”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(22) (2011), 99–107  mathnet  crossref  rsci  elib
42. M. O. Katanaev, “Adiabatic theorem for finite dimensional quantum mechanical systems”, Russian Phys. J., 2011, no. 3, 342–353 , arXiv: 0909.0370  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
43. M. O. Katanaev, “On geometric interpretation of the Aharonov–Bohm effect”, Russian Phys. J., 54:5 (2011), 507–514  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2012
44. M. O. Katanaev, “On geometric interpretation of the Berry phase”, Russian Phys. J., 54:10 (2012), 1082–1092 , arXiv: 1212.1782  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2010
45. M. O. Katanaev, “Global solutions in gravity. Euclidean signature”, Fundamental interactions, eds. D. Grumiller, A. Rebhan, D. Vassilevich, World Sci. Publ., Hackensack, NJ, 2010, 249–266 , arXiv: 0808.1559  mathscinet  zmath  adsnasa
46. G. de Berredo-Peixoto, M. O. Katanaev, E. Konstantinova, I. Shapiro, “Schrodinger equation in the space with cylindrical geometric defect and possible application to multi-wall nanotubes”, Nuovo Cimento, B125 (2010), 915–931 , arXiv: 1010.2913  crossref  isi  scopus
47. M. O. Katanaev, “Torsion and Burgers vector of a tube dislocation”, 10th Hellenic School and Workshops on Elementary Particle Physics and Gravity (Corfu, Greece, 8–12 Sep 2010), PoS CNCFG, 2010, 022 , 7 pp.

   2009
48. G. de Berredo-Peixoto, M. O. Katanaev, “Tube dislocations in gravity”, J. Math. Phys., 50 (2009), 042501 , 23 pp., arXiv: 0810.0243  crossref  mathscinet  zmath  adsnasa  isi  scopus 10

   2008
49. M. O. Katanaev, “Akusticheskie fonony v gidrodinamike i metrika Shvartsshilda”, Problemy sovremennoi teoreticheskoi fiziki, K 60-letiyu I. L. Bukhbindera, Tomskii gos. pedagogicheskii un-t, 2008, 208–215

   2007
50. G. de Berredo-Peixoto, M. O. Katanaev, “Inside the BTZ black hole”, Phys. Rev. D, 75:2 (2007), 024004 , 13 pp., arXiv: gr-qc/0611143  crossref  mathscinet  adsnasa  isi  scopus 5

   2006
51. M. O. Katanaev, “Polynomial form of the Hilbert–Einstein action”, Gen. Relativity Gravitation, 38:8 (2006), 1233–1240 , arXiv: gr-qc/0507026  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 7
52. M. O. Katanaev, “Polynomial Hamiltonian form of general relativity”, Theoret. and Math. Phys., 148:3 (2006), 1264–1294  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2005
53. M. O. Katanaev, “Geometric theory of defects”, Phys. Usp., 48:7 (2005), 675–701  mathnet  crossref  crossref  adsnasa  isi  elib  elib  scopus
54. M. O. Katanaev, “Introduction to the geometric theory of defects”, Proceedings of 3rd Summer School in Modern Mathematical Physics (Zlatibor, Serbia and Montenegro, 20–31 Aug 2004), eds. B. Dragovich, IFTP, Belgrade, 2005, 65–73

   2004
55. M. O. Katanaev, “One-Dimensional Topologically Nontrivial Solutions in the Skyrme Model”, Theoret. and Math. Phys., 138:2 (2004), 163–176  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   2003
56. M. O. Katanaev, “Wedge Dislocation in the Geometric Theory of Defects”, Theoret. and Math. Phys., 135:2 (2003), 733–744  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus

   2002
57. M. O. Katanaev, “Effective action for scalar fields in two-dimensional gravity”, Ann. Physics, 296:1 (2002), 1–50 , arXiv: gr-qc/0101033  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 13

   2000
58. M. O. Katanaev, “Global solutions in gravity”, Constrained dynamics and quantum gravity (Villasimius, 1999), Nuclear Phys. B Proc. Suppl., 88, 2000, 233–236 , arXiv: gr-qc/9912039  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 4
59. M. O. Katanaev, “Global Solutions in Gravity. Lorentzian Signature”, Proc. Steklov Inst. Math., 228 (2000), 158–183  mathnet  mathscinet  zmath

   1999
60. M. O. Katanaev, Klösch, W. Kummer, “Global properties of warped solutions in general relativity”, Ann. Physics, 276:2 (1999), 191–222 , arXiv: gr-qc/9807079  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 28
61. M. O. Katanaev, I. V. Volovich, “Scattering on dislocations and cosmic strings in the geometric theory of defects”, Ann. Physics, 271:2 (1999), 203–232 , arXiv: gr-qc/9801081  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 39

   1998
62. M. F. Ertl, M. O. Katanaev, W. Kummer, “Generalized supergravity in two dimensions”, Nuclear Phys. B, 530:1-2 (1998), 457–486 , arXiv: hep-th/9710051  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 2

   1997
63. M. O. Katanaev, W. Kummer, H. Liebl, “On the completeness of the black hole singularity in 2D dilaton theories”, Nuclear Phys. B, 486:1-2 (1997), 353–370 , arXiv: gr-qc/9602040  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 53
64. M. O. Katanaev, “Euclidean two-dimensional gravity with torsion”, J. Math. Phys., 38:2 (1997), 946–980  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 7

   1996
65. M. O. Katanaev, W. Kummer, H. Liebl, “Geometric interpretation and classification of global solutions in generalized dilaton gravity”, Phys. Rev. D (3), 53:10 (1996), 5609–5618 , arXiv: gr-qc/9511009  crossref  mathscinet  adsnasa  isi  elib  scopus 44

   1994
66. M. O. Katanaev, “Canonical quantization of the string with dynamical geometry and anomaly free nontrivial string in two dimensions”, Nuclear Phys. B, 416:2 (1994), 563–605 , arXiv: hep-th/0101168  crossref  mathscinet  zmath  adsnasa  isi  scopus 14

   1993
67. M. O. Katanaev, “New constraints in dynamical torsion theory”, Gen. Relativity Gravitation, 25:4 (1993), 349–359 , arXiv: gr-qc/0101053  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 8
68. M. O. Katanaev, “All universal coverings of two-dimensional gravity with torsion”, J. Math. Phys., 34:2 (1993), 700–736  crossref  mathscinet  zmath  adsnasa  isi  scopus 27

   1992
69. M. O. Katanaev, I. V. Volovich, “Theory of defects in solids and three-dimensional gravity”, Ann. Physics, 216:1 (1992), 1–28  crossref  mathscinet  zmath  adsnasa  isi  scopus 438

   1991
70. M. O. Katanaev, “Conformal invariance, extremals, and geodesics in two-dimensional gravity with torsion”, J. Math. Phys., 32:9 (1991), 2483–2496  crossref  mathscinet  adsnasa  isi  scopus 29

   1990
71. M. O. Katanaev, “Complete integrability of two-dimensional gravity with dynamical torsion”, J. Math. Phys., 31:4 (1990), 882–891  crossref  mathscinet  zmath  adsnasa  isi  scopus 31
72. M. O. Katanaev, I. V. Volovich, “Two-dimensional gravity with dynamical torsion and strings”, Ann. Physics, 197:1 (1990), 1–32  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 70

   1989
73. M. O. Katanaev, “A new integrable model: two-dimensional gravity with dynamical torsion”, Soviet Phys. Dokl., 34:11 (1989), 982–983 (1990)  mathnet  mathscinet  adsnasa  adsnasa
74. M. O. Katanaev, “String with dynamical geometry. Hamiltonian analysis in conformal gauge”, Theoret. and Math. Phys., 80:2 (1989), 838–848  mathnet  crossref  mathscinet  adsnasa  isi  scopus

   1988
75. M. O. Katanaev, “Nonrelativistic string”, Soviet J. Nuclear Phys., 48:1 (1988), 296–298

   1987
76. M. O. Katanaev, “Kinetic part of dynamical torsion theory”, Theoret. and Math. Phys., 72:1 (1987), 735–741  mathnet  crossref  zmath  adsnasa  isi  scopus
77. M. O. Katanaev, “Largescale limit of dynamical torsion theory”, Sov. Phys. J., 30:5 (1987), 392–396  crossref  scopus

   1986
78. I. V. Volovich, M. O. Katanaev, “Quantum strings with a dynamic geometry”, JETP Lett., 43:5 (1986), 267–269  mathscinet  adsnasa  isi
79. M. O. Katanaev, I. V. Volovich, “String model with dynamical geometry and torsion”, Phys. Lett. B, 175:4 (1986), 413–416 , arXiv: hep-th/0209014  crossref  mathscinet  adsnasa  isi  elib  scopus 80
80. M. O. Katanaev, “Dynamical torsion and the problem of the indefinite metric in the general theory of relativity”, Soviet J. Nuclear Phys., 43:3 (1986), 490–491  mathscinet  isi
81. I. V. Volovich, M. O. Katanaev, “Scalar fields and dynamical torsion in Kaluza–Klein theories”, Theoret. and Math. Phys., 66:1 (1986), 53–60  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1985
82. M. O. Katanayev, I. V. Volovich, “Higgs fields in Kaluza-Klein theory with dynamical torsion”, Phys. Lett. B, 156:5-6 (1985), 327–330  crossref  mathscinet  adsnasa  isi  elib  scopus 16
83. M. O. Katanaev, “Kinetic term for the Lorentz connection”, Theoret. and Math. Phys., 65:1 (1985), 1043–1050  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1983
84. M. O. Katanaev, “Linear connection in theories of Kaluza–Klein type”, Theoret. and Math. Phys., 56:2 (1983), 795–798  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
85. M. O. Katanaev, “Gauge theory for the Poincaré group”, Theoret. and Math. Phys., 54:3 (1983), 248–252  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

Presentations in Math-Net.Ru
1. О полном разделении переменных в уравнении Гамильтона-Якоби для геодезических
M. O. Katanaev
Modern geometry methods
February 21, 2024 18:30
2. Геометрическая теория дефектов
M. O. Katanaev
Seminar of the Department of Mechanics
February 19, 2024 12:00
3. О полном разделении переменных в уравнении Гамильтона-Якоби для геодезических
M. O. Katanaev
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
February 15, 2024 12:00
4. О полном разделении переменных в уравнении Гамильтона-Якоби для геодезических
M. O. Katanaev
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
December 28, 2023 11:00   
5. Полное разделение переменных в уравнении Гамильтона–Якоби для геодезических
M. O. Katanaev
Annual Session of Steklov Mathematical Institute (Best results 2023)
November 15, 2023 13:20   
6. О полном разделении переменных в уравнении Гамильтона-Якоби для геодезических.
M. O. Katanaev
Hamiltonian systems and statistical mechanics
October 16, 2023 16:30   
7. Complete separation of variables in the Hamilton–Jacobi equation for geodesic Hamiltonians
M. O. Katanaev
Complex analysis and mathematical physics
April 11, 2023 16:00
8. On the separation of variables in the Hamilton-Jacobi equation
M. O. Katanaev
International Conference Dedicated to the 100th Anniversary of the Birthday of V. S. Vladimirov (Vladimirov-100)
January 9, 2023 17:30   
9. Spin distribution for the ‘t Hooft-Polyakov monopole in the geometric theory of defects
M. O. Katanaev
International Conference "New Trends in Mathematical Physics"
November 10, 2022 10:00   
10. Spherically symmetric 't Hooft–Polyakov monopoles
M. O. Katanaev
Steklov Mathematical Institute Seminar
January 20, 2022 16:00   
11. Сферически симметричные монополи 'т Хоофта–Полякова
M. O. Katanaev
Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2021
November 24, 2021 13:00   
12. Spherically symmetric ‘t Hooft-Polyakov monopoles
M. O. Katanaev
International Conference "Selected Topics in Mathematical Physics" Dedicated to 75-th Anniversary of I. V. Volovich
September 27, 2021 15:55   
13. Global conformal gauge in string theory
M. O. Katanaev
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
March 25, 2021 11:00   
14. Point disclinations in the geometric theory of defects
Mikhail Katanaev
International Conference on Mathematical Physics in Memory of Academic V. S. Vladimirov
November 24, 2020 16:50   
15. Geometric theory of defects, 't Hooft-Polyakov monopole, and disclinations
M. O. Katanaev
International Bogolyubov Conference Problems of Theoretical and Mathematical Physics dedicated to the 110th anniversary of N. N. Bogolyubov's birth
September 10, 2019 15:00   
16. Closing
I. Ya. Aref'eva, M. O. Katanaev
3rd French Russian Conference on Random Geometry and Physics: Sachdev–Ye–Kitaev Model and Related Topics
June 7, 2019 12:10   
17. Chern-Simons action in the geometric theory of defects
M. O. Katanaev
3rd French Russian Conference on Random Geometry and Physics: Sachdev–Ye–Kitaev Model and Related Topics
June 7, 2019 11:40   
18. Лекция 11. Струна Полякова
M. O. Katanaev

May 17, 2019 18:00   
19. Лекция 10. Каноническая формулировка двумерной гравитации с кручением
M. O. Katanaev

April 26, 2019 18:00   
20. Лекция 9. Двумерная гравитация с кручением
M. O. Katanaev

April 19, 2019 18:00   
21. Лекция 8. Двумерная гравитация
M. O. Katanaev

April 12, 2019 18:00   
22. Лекция 7. Действие Черна–Саймонса в аффинной и римановой геометрии
M. O. Katanaev

April 5, 2019 18:00   
23. Лекция 6. Калибровочные поля для группы Пуанкаре
M. O. Katanaev

March 29, 2019 18:00   
24. Лекция 5. Топологически массивная гравитация в трех измерениях
M. O. Katanaev

March 22, 2019 18:00   
25. Лекция 4. Действие Черна–Саймонса в аффинной и римановой геометрии
M. O. Katanaev

March 15, 2019 18:00   
26. Лекция 3. Калибровочные поля для группы Пуанкаре
M. O. Katanaev

March 1, 2019 18:00   
27. Лекция 2. Действие Черна-Саймонса
M. O. Katanaev

February 22, 2019   
28. Лекция 1. Теория Морса. Степень отображения
M. O. Katanaev

February 15, 2019 18:00   
29. Действие Черна-Саймонса
M. O. Katanaev
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
January 24, 2019 11:00
30. The 't Hooft-Polyakov monopole and disclinations in the geometric theory of defects
M. O. Katanaev
Internaional conference «Modern Mathematical Physics. Vladimirov-95»
November 16, 2018 11:00   
31. Математические основы общей теории относительности. Лекция 12
M. O. Katanaev

May 18, 2018 18:00   
32. Математические основы общей теории относительности. Лекция 11
M. O. Katanaev

May 11, 2018 18:00   
33. Математические основы общей теории относительности. Лекция 10
M. O. Katanaev

May 4, 2018 18:00   
34. Математические основы общей теории относительности. Лекция 9
M. O. Katanaev

April 27, 2018 18:00   
35. Математические основы общей теории относительности. Лекция 8
M. O. Katanaev

April 20, 2018 18:00   
36. Математические основы общей теории относительности. Лекция 7
M. O. Katanaev

April 13, 2018 18:00   
37. Математические основы общей теории относительности. Лекция 6
M. O. Katanaev

April 6, 2018 18:00   
38. Математические основы общей теории относительности. Лекция 5
M. O. Katanaev

March 30, 2018 18:00   
39. Математические основы общей теории относительности. Лекция 4
M. O. Katanaev

March 23, 2018 18:00   
40. Математические основы общей теории относительности. Лекция 3
M. O. Katanaev

March 16, 2018 18:00   
41. Математические основы общей теории относительности. Лекция 2
M. O. Katanaev

March 2, 2018 18:00   
42. Математические основы общей теории относительности. Лекция 1
M. O. Katanaev

February 16, 2018 18:00   
43. Сhern–Simons term in the geometric theory of defects
M. Katanaev
International Workshop “Supersymmetries and Quantum Symmetries – SQS'2017”. Dubna, Russia, July 31–August 5, 2017
August 1, 2017 15:15
44. Geometric theory of defects
M. O. Katanaev
8th International Conference on Mathematical Modeling. July 4–July 8, 2017, Yakutsk, Russia
July 5, 2017 15:15
45. Chern–Simons term in the geometric theory of defects
M. Katanaev
"Ginzburg Centennial Conference on Physics", Lebedev Institute, Moscow, Russia. May 29–June 3, 2017
June 1, 2017 12:00
46. On homogeneous and isotropic universe
M. Katanaev
"Beyond the Concordance Model II". Cape Town, South Africa, 28 November–2 December 2016
November 28, 2016 16:15
47. Векторные поля Киллинга и однородная и изотропная вселенная. Лекция 3
M. O. Katanaev
V.P. Mikhailov seminar
November 24, 2016 13:30
48. Chern-Simons term in the geometric theory of defects
M. O. Katanaev
Steklov Mathematical Institute Seminar
November 17, 2016 16:00   
49. Chern-Simons term in the geometric theory of defects
M. O. Katanaev
Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2016
November 16, 2016 11:15   
50. Векторные поля Киллинга и однородная и изотропная вселенная. Лекция 2
M. O. Katanaev
V.P. Mikhailov seminar
November 10, 2016 13:30
51. Chern–Simons term in the geometric theory of defects
M. Katanaev
The 2nd French-Russian conference "Random Geometry and Physics". Paris, France, October 17–21, 2016
October 17, 2016 11:30
52. Векторные поля Киллинга и однородная и изотропная вселенная. Лекция 1
M. O. Katanaev
V.P. Mikhailov seminar
October 13, 2016 13:30
53. Chern-Simons term in the geometric theory of defects
Mikhail Katanaev, J. Zanelli
New Trends in Mathematical and Theoretical Physics
October 5, 2016 12:00   
54. On homogeneous and isotropic universe
M. O. Katanaev
International conference "6th Russian-Armenian Workshop on Mathematical Analysis, Mathematical Physics and Analytical Mechanics"
September 14, 2016 12:55
55. Chern–Simons term in the geometric theory of defects
M. Katanaev, J. Zanelli
"Quantum Field Theory and Gravity" International conference, August 1–7, 2016, TSPU, Tomsk, Russia
August 1, 2016 12:30
56. On homogeneous and isotropic universe
M. O. Katanaev
The third Russian-Chinese conference on complex analysis, algebra, algebraic geometry and mathematical physics
May 12, 2016 15:50   
57. Общая теория относительности. Лекция 12
M. O. Katanaev

May 6, 2016 18:00   
58. Общая теория относительности. Лекция 11
M. O. Katanaev

April 29, 2016 18:00   
59. Общая теория относительности. Лекция 10
M. O. Katanaev

April 22, 2016 18:00   
60. Общая теория относительности. Лекция 9
M. O. Katanaev

April 15, 2016 18:00   
61. Общая теория относительности. Лекция 8
M. O. Katanaev

April 8, 2016 18:00   
62. Общая теория относительности. Лекция 7
M. O. Katanaev

April 1, 2016 18:00   
63. Общая теория относительности. Лекция 6
M. O. Katanaev

March 25, 2016 18:00   
64. Общая теория относительности. Лекция 5
M. O. Katanaev

March 18, 2016 18:00   
65. Общая теория относительности. Лекция 4
M. O. Katanaev

March 11, 2016 18:00   
66. Общая теория относительности. Лекция 3
M. O. Katanaev

March 4, 2016 18:00   
67. Общая теория относительности. Лекция 2
M. O. Katanaev

February 26, 2016 18:00   
68. Общая теория относительности. Лекция 1
M. O. Katanaev

February 19, 2016 18:00   
69. On homogeneous and isotropic Universe
M. O. Katanaev
Семинар, посвящённый памяти академика А. А. Логунова и 100-летию общей теории относительности. ФГБУ ИФВЭ НИЦ КИ, Протвино, Россия, 19 ноября 2015 г.
November 19, 2015 15:30
70. Geometric theory of defects
M. O. Katanaev
27th Indian-Summer School on Graphene – the Bridge between Low- and High-Energy Physics. September 14–18, 2015, Prague, Czech Republic
September 17, 2015 11:30
71. Geometric theory of defects
M. O. Katanaev
Fifth school-conference on algebraic geometry and complex analysis for young russian mathematicians
August 22, 2015 14:40
72. Лекция 12. Рассеяние фононов на клиновых дислокациях. Цилиндрическая дислокация
M. O. Katanaev
Special course "General relativity and the geometric theory of defects", 2015
May 22, 2015 18:00   
73. Лекция 11. Фиксирование калибровки. Параллельные клиновые дислокации. Конформные отображения
M. O. Katanaev
Special course "General relativity and the geometric theory of defects", 2015
May 15, 2015 18:00   
74. General relativity and the geometric theory of defects. Lecture 10
M. O. Katanaev
Special course "General relativity and the geometric theory of defects", 2015
April 24, 2015 18:00   
75. General relativity and the geometric theory of defects. Lecture 9
M. O. Katanaev
Special course "General relativity and the geometric theory of defects", 2015
April 17, 2015 18:00   
76. General relativity and the geometric theory of defects. Lecture 8
M. O. Katanaev
Special course "General relativity and the geometric theory of defects", 2015
April 10, 2015 18:00   
77. General relativity and the geometric theory of defects. Lecture 7
M. O. Katanaev
Special course "General relativity and the geometric theory of defects", 2015
April 3, 2015 18:00   
78. General relativity and the geometric theory of defects. Lecture 6
M. O. Katanaev
Special course "General relativity and the geometric theory of defects", 2015
March 27, 2015 18:00   
79. General relativity and the geometric theory of defects. Lecture 5
M. O. Katanaev
Special course "General relativity and the geometric theory of defects", 2015
March 20, 2015 18:00   
80. General relativity and the geometric theory of defects. Lecture 4
M. O. Katanaev
Special course "General relativity and the geometric theory of defects", 2015
March 13, 2015 18:00   
81. General relativity and the geometric theory of defects. Lecture 3
M. O. Katanaev
Special course "General relativity and the geometric theory of defects", 2015
March 6, 2015 18:00   
82. General relativity and the geometric theory of defects. Lecture 2
M. O. Katanaev
Special course "General relativity and the geometric theory of defects", 2015
February 27, 2015 18:00   
83. General relativity and the geometric theory of defects. Lecture 1
M. O. Katanaev
Special course "General relativity and the geometric theory of defects", 2015
February 20, 2015 18:00   
84. On homogeneous and isotropic universe
M. O. Katanaev
28th Texas Symposium on Relativistic Astrophysics. Geneva, Switzerland, December 13–18, 2015
December 14, 2014 16:35
85. Geometric theory of defects and gravity
M. O. Katanaev
International Conference on "New Trends in Field Theory", 01–05 November 2014, BHU, Varanasi, India
November 3, 2014
86. Point massive particle in General Relativity
M. O. Katanaev
International conference MIAN-Institute of mathematics of China Academy of Science on Complex Analysis and Mathematical Physics
October 15, 2014 10:00
87. Point massive particle in General Relativity
M. O. Katanaev
Random geometry and physics
September 8, 2014 15:20   
88. The gravitational field of a point particle
M. O. Katanaev
Fourth international conference "Mathematical Physics and Its Applications"
September 1, 2014 10:30
89. Passage through the Einstein–Rosen bridge
M. O. Katanaev
International Conference «Quantum Field Theory and Gravity (QFTG’14)». Tomsk, Russia, July 28–August 3, 2014
July 29, 2014 12:30
90. Passage through the Einstein–Rosen bridge
M. O. Katanaev
15th Russian Gravitational Conference – International Conference on Gravitation, Cosmology and Astrophysics (RUSGRAV-15) and the International School on Gravitation and Cosmology (GRACOS-2014). Kazan, Russia, June 30–July 5, 2014
July 1, 2014
91. On homogeneous and isotropic Universe
M. O. Katanaev
ICGAC-12, XIIth International Conference on Gravitation, Astrophysics and Cosmology. June 28–July 5, 2015, PFUR, Moscow, Russia
June 30, 2014 16:45
92. Проход по мосту Эйнштейна–Розена
M. O. Katanaev
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
February 13, 2014 11:00
93. Point massive particle in General Relativity
M. O. Katanaev
19th International Symposium on Particles, Strings and Cosmology (PASCOS 2013). 20–26 November 2013, Taipei, Taiwan
November 20, 2013 13:30
94. Точечная массивная частица в общей теории относительности
M. O. Katanaev
Conference "Mathematical Physics. Vladimirov-90" dedicated to the 90th anniversary of academician V. S. Vladimirov
November 15, 2013 14:30   
95. Point massive particle in General Relativity
M. O. Katanaev
ICIS 2013 - Les Rencontres du Vietnam: Hot Topics in General Relativity and Gravitation. July 28–August 03, 2013, Quy Nhon, Vietnam
July 30, 2013 10:50
96. Point massive particle in General Relativity
M. O. Katanaev
29th International Workshop on High Energy Physics: New Results and Actual Problems in Particle Physics, Astrophysics and Cosmology (IHEP 2013). 26–28 June 2013, Protvino, Russia
June 28, 2013 10:30
97. Точечная массивная частица в общей теории относительности
M. O. Katanaev
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
January 16, 2013 14:00
98. Точечная массивная частица в общей теории относительности
M. O. Katanaev
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
December 12, 2012 14:00
99. Point massive particle in General Relativity
M. O. Katanaev
International conference on "New Trends in Field Theories". Banaras Hindu Univercity, Varanasi, India, November 23–26, 2012
November 26, 2012
100. Точечная массивная частица в общей теории относительности
M. O. Katanaev
International Conference-Session of the Section of Nuclear Physics of the Physical Sciences Division of RAS "Physics of Fundamental Interactions". National Research Nuclear University MEPhI, November 12–16, 2012
November 16, 2012 15:45
101. Точечная массивная частица в общей теории относительности
M. O. Katanaev
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
October 11, 2012 11:00
102. Клиновые дислокации и трехмерная гравитация
M. O. Katanaev
International conference "Fourth Russian-Armenian workshop on mathematical physics, complex analysis and related topics"
September 15, 2012 11:20
103. Wedge dislocations and three-dimensional gravity
M. O. Katanaev, I. G. Mannanov
Third International Conference on Mathematical Physics and Its Applications
August 31, 2012 15:00
104. Geometric theory of defects
M. O. Katanaev
Third International Conference on Mathematical Physics and Its Applications
August 31, 2012 10:30
105. Three dimensional gravity, diclocations, and the Riemann–Hilbert problem
M. O. Katanaev
"The XXIX International Colloquium on Group-Theoretical Methods in Physics". August 20–26, Chern Institute of Mathematics, Tianjin, China, 2012
August 24, 2012 15:00
106. Wedge dislocations and three-dimensional gravity
M. O. Katanaev
"Quantum Field Theory and Gravity (QFTG’12)", July 31–August 4, 2012, Tomsk, Russia
August 2, 2012 11:50
107. Multivalued fields for defects in spacetime and gravity
M. O. Katanaev, H. Kleinert
Thirteen Marcel Grossmann Meeting – MG13 – on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field theories", 1–7 July, 2012, Stockholm
July 3, 2012
108. Three-dimensional gravity, dislocations, and the Riemann–Hilbert
M. O. Katanaev
Ginzburg conference on Physics
May 29, 2012 15:30
109. Geometric theory of defects and gravity
M. O. Katanaev
Sixth Aegean Summer Workshop "Quantum Gravity and Quantum Cosmology". 12–17 September, 2011. Naxos island, Greece
September 13, 2011 17:30
110. Tube dislocations in gravity
M. O. Katanaev
International Workshop on Astrophysics and Cosmology for Matter and Antimatter", 5–9 September, 2011, San Marino
September 5, 2011 18:00
111. Dislocations, 3D gravity, and the Riemann–Hilbert problem
M. O. Katanaev
International Workshop "Supersymmetries and quantum symmetries". 18–23 July, 2011, Dubna, Moscow region
July 23, 2011 15:50
112. Geometric theory of defects
M. O. Katanaev
The 11th international scientific Baikal Summer School on Physics of Elementary Particles and Astrophysics. 3–10 of July 2011, Bolshie Koty, Russia
July 9, 2011 17:00
113. Tube dislocations in gravity
M. O. Katanaev
Petrov 2010 anniversary symposium on General Relativity and Gravitation. Kazan, Russia, November 1–6, 2010
November 5, 2010 11:30
114. Адиабатическая теорема и геометрическая интерпретация фазы Берри
M. O. Katanaev
Third Russian-Armenian workshop on mathematical physics, complex analysis and related topics
October 8, 2010 15:00
115. Tube dislocations in gravity
M. O. Katanaev
International Scientific Conference "Mathematical Physics 6th Meeting: Summer School and Conference on Modern Mathematical Physics", 14–23 September 2010, Belgrade, Serbia
September 16, 2010 15:30
116. Tube dislocations in gravity
M. O. Katanaev
Satellite Workshop on Noncommutative Field Theory and Gravity, September 8–12, 2010, Corfu, Greece
September 11, 2010 16:00
117. Tube dislocations in gravity
M. Katanaev
International conference "Quantum field theory and gravity". 5–10 July 2010, Tomsk
July 8, 2010 15:00
118. Tubular dislocations in gravity
M. O. Katanaev
International Conference "Modern Problems of Gravitation, Cosmology and Relativistic Astrophysics". June 28–July 3, 2010, PFUR, Moscow, Russia
June 29, 2010 12:50
119. Адиабатическая теорема и геометрическая интерпретация фазы Берри и эффекта Ааронова–Бома
M. O. Katanaev
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
February 4, 2010 11:00
120. О геометрической интерпретации фазы Берри и эффекта Ааронова–Бома
M. O. Katanaev
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
October 1, 2009 11:00
121. Two-dimensional gravity. Integrability of equations of motion
M. O. Katanaev
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
April 5, 2006
122. Geometric theory of defects
M. O. Katanaev
Steklov Mathematical Institute Seminar
May 27, 2004 16:00   
123. Адиабатическая теорема и геометрическая интерпретация фазы Берри
M. O. Katanaev
The Second International Conference on Mathematical Physics and Its Applications
124. Global Solutions in Gravity
M. O. Katanaev
Joint Focus Program on Frontiers of Black Hole Physics. Asia Pacific Center for Theoretical Physics (APCTP), Pohang, Korea, December 6–17, 2010
125. Geometric Theory of Defects
M. O. Katanaev
Joint Focus Program on Frontiers of Black Hole Physics. Asia Pacific Center for Theoretical Physics (APCTP), Pohang, Korea, December 6–17, 2010
126. Точечная массивная частица в общей теории относительности
M. O. Katanaev
III-я Российская школа-семинар "Современные проблемы теории гравитации и космологии" GRACOS-2012, 3–7 сентября 2012, Казань-Яльчик
127. Point massive particle in General Relativity
M. O. Katanaev
20th International Conference on General Relativity and Gravitation and 10th Amaldi Conference on Gravitational Waves (Amaldi10). 7–13 July 2013, Warsaw, Poland
128. Point massive particle in General Relativity
M. O. Katanaev
The Modern Physics of Compact Stars and Relativistic Gravity. 18–21 September, 2013, Yerevan, Armenia
129. Геометрическая теория дефектов
M. O. Katanaev
International conference "Fifth Russian-Armenian Workshop on Mathematical Physics, Complex Analysis and Related Topics"

Books in Math-Net.Ru
  1. Mathematical physics and applications, Collected papers. In commemoration of the 95th anniversary of Academician Vasilii Sergeevich Vladimirov, Trudy Mat. Inst. Steklova, 306, ed. I. V. Volovich, M. O. Katanaev, 2019, 352 с.
    http://mi.mathnet.ru/book1763
  2. M. O. Katanaev, Mathematical foundations of general relativity. Part 2, Lekts. Kursy NOC, 29, 2018, 366 с.
    http://mi.mathnet.ru/book1729
  3. Complex analysis, mathematical physics, and applications, Collected papers, Trudy Mat. Inst. Steklova, 301, ed. A. I. Aptekarev, M. O. Katanaev, S. P. Suetin, 2018, 335 с.
    http://mi.mathnet.ru/book1696
  4. M. O. Katanaev, Mathematical foundations of general relativity. Part 1, Lekts. Kursy NOC, 28, 2017, 312 с.
    http://mi.mathnet.ru/book1699
  5. M. O. Katanaev, Geometrical methods in mathematical physics. Applications in quantum mechanics. Part 1, Lekts. Kursy NOC, 25, 2015, 176 с.
    http://mi.mathnet.ru/book1603
  6. M. O. Katanaev, Geometrical methods in mathematical physics. Applications in quantum mechanics. Part 2, Lekts. Kursy NOC, 26, 2015, 186 с.
    http://mi.mathnet.ru/book1604

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