General information
Latest issue
Impact factor
License agreement
Submit a manuscript

Search papers
Search references

Latest issue
Current issues
Archive issues
What is RSS

Uspekhi Mat. Nauk:

Personal entry:
Save password
Forgotten password?

Uspekhi Mat. Nauk, 1987, Volume 42, Issue 6(258), Pages 99–131 (Mi umn2693)  

This article is cited in 121 scientific papers (total in 121 papers)

The theory of extensions and explicitly-soluble models

B. S. Pavlov

Full text: PDF file (2178 kB)
References: PDF file   HTML file

English version:
Russian Mathematical Surveys, 1987, 42:6, 127–168

Bibliographic databases:

UDC: 517.9
MSC: 47A45, 81Q05, 81Uxx, 47A20
Received: 09.02.1987

Citation: B. S. Pavlov, “The theory of extensions and explicitly-soluble models”, Uspekhi Mat. Nauk, 42:6(258) (1987), 99–131; Russian Math. Surveys, 42:6 (1987), 127–168

Citation in format AMSBIB
\by B.~S.~Pavlov
\paper The~theory of extensions and explicitly-soluble models
\jour Uspekhi Mat. Nauk
\yr 1987
\vol 42
\issue 6(258)
\pages 99--131
\jour Russian Math. Surveys
\yr 1987
\vol 42
\issue 6
\pages 127--168

Linking options:

    SHARE: FaceBook Twitter Livejournal

    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. B. S. Pavlov, “Boundary conditions on thin manifolds and the semiboundedness of the three-particle Schrödinger operator with pointwise potential”, Math. USSR-Sb., 64:1 (1989), 161–175  mathnet  crossref  mathscinet  zmath
    2. I. Yu. Popov, “Extension theory and localization of resonances for domains of trap type”, Math. USSR-Sb., 71:1 (1992), 209–234  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    3. B. S. Pavlov, I. Yu. Popov, “Acoustic model of zero-width slits and hydrodynamic boundary layer stability”, Theoret. and Math. Phys., 86:3 (1991), 269–276  mathnet  crossref  mathscinet  zmath  isi
    4. D R Yafaev, J Phys A Math Gen, 25:4 (1992), 963  crossref  mathscinet  zmath  adsnasa  isi
    5. Yu. A. Kuperin, Yu. B. Melnikov, “Two-body resonance scattering and annihilation of composite charged particles”, J Math Phys (N Y ), 33:8 (1992), 2795  crossref  mathscinet  zmath  adsnasa  isi
    6. I. Yu. Popov, “The Helmholtz resonator and the theory of operator extensions in a space with indefinite metric”, Russian Acad. Sci. Sb. Math., 75:2 (1993), 285–315  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    7. B. S. Pavlov, A. V. Strepetov, “Exactly solvable model of electron scattering by an inhomogeneity in a thin conductor”, Theoret. and Math. Phys., 90:2 (1992), 152–156  mathnet  crossref  mathscinet  isi
    8. A. A. Kiselev, B. S. Pavlov, N. N. Penkina, M. G. Suturin, “Allowance for interaction symmetry in the theory of extensions”, Theoret. and Math. Phys., 91:2 (1992), 453–461  mathnet  crossref  mathscinet  isi
    9. Theoret. and Math. Phys., 92:3 (1992), 1032–1037  mathnet  crossref  mathscinet  zmath  isi
    10. I. Yu Popov, S. L Popova, “Zero-Width Slit Model and Resonances in Mesoscopic Systems”, Europhys Lett, 24:5 (1993), 373  crossref  adsnasa  isi
    11. I Yu Popov, “Operator extensions theory and eddies in creeping flow”, Phys Scr, 47:5 (1993), 682  crossref  adsnasa  isi  elib
    12. A. K. Motovilov, “Algebraic version of extension theory for a quantum system with internal structure”, Theoret. and Math. Phys., 97:2 (1993), 1217–1228  mathnet  crossref  mathscinet  zmath  isi
    13. B. S. Pavlov, A. A. Pokrovski, “Explicitly solvable model of Mössbauer scattering”, Theoret. and Math. Phys., 95:3 (1993), 700–707  mathnet  crossref  mathscinet  isi
    14. A. V. Badanin, B. P. Belinskii, “Oscillations of a liquid in a bounded cavity with a plate on the boundary”, Comput. Math. Math. Phys., 33:6 (1993), 829–835  mathnet  mathscinet  zmath  isi
    15. Yu. A. Kuperin, S. B. Levin, Yu. B. Melnikov, “Generalized string-flip model for quantum cluster scattering”, J Math Phys (N Y ), 35:1 (1994), 71  crossref  mathscinet  zmath  adsnasa  isi
    16. Yu. A. Kuperin, S. B. Levin, Yu. B. Melnikov, “Quantum scattering for two clusters with spin-spin interaction in a string-flip model”, Il Nuovo Cimento A Series 10, 107:12 (1994), 2823  crossref  isi
    17. A. A. Kiselev, B. S. Pavlov, “Essential spectrum of the Laplacian for the Neumann problem in a model region of complicated structure”, Theoret. and Math. Phys., 99:1 (1994), 383–395  mathnet  crossref  mathscinet  zmath  isi
    18. A. A. Kiselev, B. S. Pavlov, “The eigenvalues and eigenfunctions of Laplas operator with Neuman boundary conditions in the system of two connected resonators”, Theoret. and Math. Phys., 100:3 (1994), 1065–1074  mathnet  crossref  mathscinet  zmath  isi
    19. Yu.A. Kuperin, B.S. Pavlov, G.E. Rudin, S.I. Vinitsky, “Spectral geometry: two exactly solvable models”, Physics Letters A, 194:1-2 (1994), 59  crossref  elib
    20. C J Fewster, J Phys A Math Gen, 28:4 (1995), 1107  crossref  mathscinet  zmath  adsnasa  isi
    21. A. A. Pokrovski, A. V. Badanin, “Lax–Phillips theory for scattering by thin elastic bodies”, J Math Phys (N Y ), 36:12 (1995), 6720  crossref  mathscinet  zmath  adsnasa  isi
    22. A. A. Kiselev, I. Yu. Popov, “Indefinite metric and scattering by a domain with a small hole”, Math. Notes, 58:6 (1995), 1276–1285  mathnet  crossref  mathscinet  zmath  isi
    23. I. Yu. Popov, “Stratified flow in electric field, Schrödinger equation and operator extension theory model”, Theoret. and Math. Phys., 103:2 (1995), 535–542  mathnet  crossref  mathscinet  zmath  isi
    24. V. A. Geiler, V. V. Demidov, “Spectrum of three-dimensional landau operator perturbed by a periodic point potential”, Theoret. and Math. Phys., 103:2 (1995), 561–569  mathnet  crossref  mathscinet  zmath  isi
    25. K. A. Makarov, V. V. Melezhik, A. K. Motovilov, “The point interactions in the problem of three quantum particles with internal structure”, Theoret. and Math. Phys., 102:2 (1995), 188–207  mathnet  crossref  mathscinet  zmath  isi
    26. S. Albeverio, F. Haake, P. Kurasov, M. Kuś, P. Šeba, “S-matrix, resonances, and wave functions for transport through billiards with leads”, J Math Phys (N Y ), 37:10 (1996), 4888  crossref  mathscinet  zmath  adsnasa  isi
    27. V. A. Geyler, B. S. Pavlov, I. Yu. Popov, “Spectral properties of a charged particle in antidot array: A limiting case of quantum billiard”, J Math Phys (N Y ), 37:10 (1996), 5171  crossref  mathscinet  zmath  adsnasa  isi  elib
    28. G. E. Rudin, M. Gadella, “Resonant branch cuts in a generalized Friedrichs model”, Int J Quantum Chem, 58:5 (1996), 441  crossref  isi  elib
    29. Yu. G. Shondin, “Semibounded local hamiltonians for perturbations of the laplacian supported by curves with angle points in $\mathbb R^4$”, Theoret. and Math. Phys., 106:2 (1996), 151–166  mathnet  crossref  crossref  mathscinet  zmath  isi
    30. V. A. Geiler, I. Yu. Popov, “Ballistic transport in nanostructures: explicitly solvable models”, Theoret. and Math. Phys., 107:1 (1996), 427–434  mathnet  crossref  crossref  mathscinet  zmath  isi
    31. V. A. Geiler, V. A. Margulis, “Point perturbation-invariant solutions of the Schrödinger equation with a magnetic field”, Math. Notes, 60:5 (1996), 575–580  mathnet  crossref  crossref  mathscinet  zmath  isi
    32. I.Yu Popov, S.L Popova, “Eigenvalues and bands imbedded in the continuous spectrum for a system of resonators and a waveguide: solvable model”, Physics Letters A, 222:4 (1996), 286  crossref  elib
    33. I.Yu. Popov, “Solvable model for the transmission of sound through a screen with narrow slit in the presence of a low-Mach-number bias flow”, Reports on Mathematical Physics, 37:3 (1996), 419  crossref
    34. Yu.V. Gugel, I.Y.u Popov, S.L. Popova, “Hydrotron: Creep and slip”, Fluid Dyn. Res, 18:4 (1996), 199  crossref
    35. Yan V. Fyodorov, Hans-Jürgen Sommers, “Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering: Random matrix approach for systems with broken time-reversal invariance”, J Math Phys (N Y ), 38:4 (1997), 1918  crossref  mathscinet  zmath  isi  elib
    36. L A Dmitrieva, Yu A Kuperin, Yu B Melnikov, J Phys A Math Gen, 30:9 (1997), 3087  crossref  mathscinet  zmath  adsnasa  isi
    37. Stefan Benvegnù, “Relativistic point interaction with Coulomb potential in one dimension”, J Math Phys (N Y ), 38:2 (1997), 556  crossref  mathscinet  zmath  isi
    38. V. A. Geiler, I. V. Chudaev, “The spectrum of a quasi-two-dimensional system in a parallel magnetic field”, Comput. Math. Math. Phys., 37:2 (1997), 210–218  mathnet  mathscinet  zmath
    39. L.A. Dmitrieva, Yu.A. Kuperin, G.E. Rudin, “Extended class of Dubrovin's equations related to the one-dimensional quantum three-body problem”, Computers & Mathematics with Applications, 34:5-6 (1997), 571  crossref
    40. I. Antoniou, L. Dmitrieva, Yu. Kuperin, Yu. Melnikov, “Resonances and the extension of dynamics to rigged Hilbert space”, Computers & Mathematics with Applications, 34:5-6 (1997), 399  crossref
    41. Yu.A. Kuperin, S.B. Levin, Yu.B. Melnikov, E.A. Yarevsky, “Application of extension theory to antiproton-nucleon systems with continuous set of resonances in annihilation channel”, Computers & Mathematics with Applications, 34:5-6 (1997), 559  crossref
    42. I.Yu. Popov, “On the point and continuous spectra for coupled quantum waveguides and resonators”, Reports on Mathematical Physics, 40:3 (1997), 521  crossref
    43. V.A. Geyler, I.Yu. popov, “Eigenvalues imbedded in the band spectrum for a periodic array of quantum dots”, Reports on Mathematical Physics, 39:2 (1997), 275  crossref
    44. V.A. Geyler, I.Yu. Popov, S.L. Popova, “Transmission coefficient for ballistic transport through quantum resonator”, Reports on Mathematical Physics, 40:3 (1997), 531  crossref
    45. P. Kurasov, “Energy Dependent Boundary Conditions and the Few-Body Scattering Problem”, Rev. Math. Phys, 09:07 (1997), 853  crossref
    46. V.A. Geyler, A.V. Popov, “Localization in a periodic system of the Aharonov-Bohm rings”, Reports on Mathematical Physics, 42:3 (1998), 347  crossref
    47. J. Brüning, V. A. Geiler, “Gauge-periodic point perturbations on the Lobachevsky plane”, Theoret. and Math. Phys., 119:3 (1999), 687–697  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    48. Yu. A. Kuperin, S. B. Levin, “Extension theory approach to scattering and annihilation in the $\bar pd$ system”, Theoret. and Math. Phys., 118:1 (1999), 60–76  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    49. I. Yu. Popov, “Short-range potential and a model of the theory of extensions of operators for a resonator with a semitransparent boundary”, Math. Notes, 65:5 (1999), 590–597  mathnet  crossref  crossref  mathscinet  zmath  isi
    50. S. A. Nazarov, “The polynomial property of self-adjoint elliptic boundary-value problems and an algebraic description of their attributes”, Russian Math. Surveys, 54:5 (1999), 947–1014  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    51. I. Yu. Popov, D. A. Zubok, “Two physical applications of the Laplace operator perturbed on a null set”, Theoret. and Math. Phys., 119:2 (1999), 629–639  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    52. Pershenko, OS, “Nonlinear zero-range potential model for the scattering of sound intensity by a Helmholtz resonator”, Technical Physics Letters, 25:6 (1999), 492  crossref  adsnasa  isi  elib
    53. Kostrykin V., Schrader R., “Kirchhoff's rule for quantum wires”, Journal of Physics A-Mathematical and General, 32:4 (1999), 595–630  crossref  mathscinet  zmath  adsnasa  isi  elib
    54. I. Yu. Popov, S. L. Popova, “Parallel Stokes flow in a ring-like structure”, Comput. Math. Math. Phys., 39:7 (1999), 1154–1162  mathnet  mathscinet  zmath  elib
    55. S. Albeverio, V.A. Geyler, O.G. Kostrov, “Quasi-one-dimensional nanosystems in a uniform magnetic field: Explicitly solvable model”, Reports on Mathematical Physics, 44:1-2 (1999), 13  crossref
    56. M Harmer, J Phys A Math Gen, 33:50 (2000), 9193  crossref  mathscinet  zmath  adsnasa  isi
    57. M Harmer, J Phys A Math Gen, 33:49 (2000), 9015  crossref  mathscinet  zmath  adsnasa  isi
    58. Fritz Gesztesy, Eduard Tsekanovskii, “On Matrix-Valued Herglotz Functions”, Math Nachr, 218:1 (2000), 61  crossref  mathscinet  zmath  isi
    59. V.A. Geyler, I.Yu. Popov, A.V. Popov, A.A. Ovechkina, “Fractal spectrum of periodic quantum systems in a magnetic field”, Chaos, Solitons & Fractals, 11:1-3 (2000), 281  crossref  elib
    60. A. K. Motovilov, W. Sandhas, V. B. Belyaev, “Perturbation of a lattice spectral band by a nearby resonance”, J Math Phys (N Y ), 42:6 (2001), 2490  crossref  mathscinet  zmath  adsnasa  isi  elib
    61. J. Besprosvany, “Recursive analytical formula for the Green’s function of a Hamiltonian having a sum of one-dimensional arbitrary delta-function potentials”, Phys Rev B, 63:23 (2001), 233108  crossref  adsnasa
    62. K. V. Pankrashin, “Locality of Quadratic Forms for Point Perturbations of Schrödinger Operators”, Math. Notes, 70:3 (2001), 384–391  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    63. Melnikov Yu., Pavlov B., “Scattering on graphs and one-dimensional approximations to $N$-dimensional Schrödinger operators”, J. Math. Phys., 42:3 (2001), 1202–1228  crossref  mathscinet  zmath  adsnasa  isi  elib
    64. I. Antoniou, Yu. Melnikov, “Non-factorizable extensions of the Liouville operator: the Friedrichs model☆”, Chaos, Solitons & Fractals, 12:14-15 (2001), 2603  crossref  elib
    65. I.E. Antoniou, M. Gadella, Yu. Melnikov, G.P. Pronko, “Examples of Gamow vectors”, Chaos, Solitons & Fractals, 12:14-15 (2001), 2707  crossref  elib
    66. Kuchment P., “Graph models for waves in thin structures”, Waves Random Media, 12:4 (2002), R1–R24  crossref  mathscinet  zmath  adsnasa  isi
    67. B. S. Pavlov, A. A. Pokrovski, A. V. Strepetov, “Quasi-Relativism, the Narrow-Gap Property, and Forced Electron Dynamics in Solids”, Theoret. and Math. Phys., 131:1 (2002), 506–515  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    68. J. Brüning, V. A. Geyler, “Scattering on compact manifolds with infinitely thin horns”, J Math Phys (N Y ), 44:2 (2003), 371  crossref  mathscinet  zmath  adsnasa  isi  elib
    69. Nazarov, SA, “Asymptotic analysis of shape functionals”, Journal de Mathematiques Pures et Appliquees, 82:2 (2003), 125  crossref  mathscinet  zmath  isi  elib
    70. S.A.. Nazarov, Jan Sokolowski, “Self adjoint extensions of differential operators in application to shape optimization”, Comptes Rendus Mécanique, 331:10 (2003), 667  crossref
    71. Peter Kuchment, “Quantum graphs: I. Some basic structures”, Waves Random Media, 14:1 (2004), S107  crossref  mathscinet  zmath  isi
    72. J. Brüning, V. Geyler, I. Lobanov, “Spectral properties of a short-range impurity in a quantum dot”, J Math Phys (N Y ), 45:4 (2004), 1267  crossref  mathscinet  zmath  adsnasa  isi  elib
    73. S. A. Nazarov, “Elliptic Boundary Value Problems in Hybrid Domains”, Funct. Anal. Appl., 38:4 (2004), 283–297  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    74. S. A. Nazarov, “Estimates for the accuracy of modelling boundary-value problems at the junction of domains with different limit dimensions”, Izv. Math., 68:6 (2004), 1179–1215  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    75. Konstantin Pankrashkin, “Reducible boundary conditions in coupled channels”, J Phys A Math Gen, 38:41 (2005), 8979  crossref  mathscinet  zmath  isi  elib
    76. Jochen Brüning, Vladimir Geyler, Konstantin Pankrashkin, “On-diagonal singularities of the Green functions for Schrödinger operators”, J Math Phys (N Y ), 46:11 (2005), 113508  crossref  mathscinet  zmath  isi
    77. N. T. Bagraev, A. B. Mikhailova, B. S. Pavlov, L. V. Prokhorov, A. M. Yafyasov, “Parameter regime of a resonance quantum switch”, Phys Rev B, 71:16 (2005), 165308  crossref  adsnasa  isi
    78. M Harmer, “Inverse scattering on matrices with boundary conditions”, J Phys A Math Gen, 38:22 (2005), 4875  crossref  mathscinet  zmath  adsnasa  isi  elib
    79. Sergio Albeverio, Konstantin Pankrashkin, “A remark on Krein's resolvent formula and boundary conditions”, J Phys A Math Gen, 38:22 (2005), 4859  crossref  mathscinet  zmath  isi  elib
    80. Peter Kuchment, “Quantum graphs: II. Some spectral properties of quantum and combinatorial graphs”, J Phys A Math Gen, 38:22 (2005), 4887  crossref  mathscinet  zmath  isi
    81. J. Brüning, V. A. Geiler, I. S. Lobanov, “Spectral Properties of Schrodinger Operators on Decorated Graphs”, Math. Notes, 77:6 (2005), 858–861  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    82. Boman J., Kurasov P., “Symmetries of Quantum Graphs and the Inverse Scattering Problem”, Adv. Appl. Math., 35:1 (2005), 58–70  crossref  isi
    83. Konstantin Pankrashkin, “Localization effects in a periodic quantum graph with magnetic field and spin-orbit interaction”, J Math Phys (N Y ), 47:11 (2006), 112105  crossref  mathscinet  zmath  isi
    84. Konstantin Pankrashkin, “Spectra of Schrödinger Operators on Equilateral Quantum Graphs”, Lett Math Phys, 77:2 (2006), 139  crossref  mathscinet  zmath  isi  elib
    85. Mark Harmer, “Spin filtering on a ring with the Rashba Hamiltonian”, J Phys A Math Gen, 39:46 (2006), 14329  crossref  mathscinet  zmath  isi  elib
    86. Jochen Brüning, Vladimir Geyler, Konstantin Pankrashkin, “Cantor and Band Spectra for Periodic Quantum Graphs with Magnetic Fields”, Comm Math Phys, 269:1 (2006), 87  crossref  mathscinet  isi
    87. Massimo Bertini, Diego Noja, Andrea Posilicano, “Dynamics and Lax–Phillips scattering for generalized Lamb models”, J Phys A Math Gen, 39:49 (2006), 15173  crossref  mathscinet  zmath  isi
    88. Konstantin Pankrashkin, “Resolvents of self-adjoint extensions with mixed boundary conditions”, Reports on Mathematical Physics, 58:2 (2006), 207  crossref
    89. S. A. Nazarov, J. Sokołowski, “Self–adjoint Extensions for the Neumann Laplacian and Applications”, Acta Math Sinica, 22:3 (2006), 879  crossref
    90. Ph. Blanchard, R. Figari, A. Mantile, “Point interaction Hamiltonians in bounded domains”, J Math Phys (N Y ), 48:8 (2007), 082108  crossref  mathscinet  zmath  adsnasa  isi
    91. S. A. Nazarov, “Dirichlet problem in an angular domain with rapidly oscillating boundary: Modeling of the problem and asymptotics of the solution”, St. Petersburg Math. J., 19:2 (2008), 297–326  mathnet  crossref  mathscinet  zmath  isi  elib
    92. Fritz Gesztesy, Marius Mitrea, Maxim Zinchenko, “Variations on a theme of Jost and Pais”, Journal of Functional Analysis, 253:2 (2007), 399  crossref
    93. F. Gesztesy, M. Mitrea, M. Zinchenko, “Multi-dimensional versions of a determinant formula due to Jost and Pais”, Reports on Mathematical Physics, 59:3 (2007), 365  crossref
    94. L Petrova, B Pavlov, “Tectonic plate under a localized boundary stress: fitting of a zero-range solvable model”, J Phys A Math Theor, 41:8 (2008), 085206  crossref  mathscinet  zmath  adsnasa  isi
    95. Gursoy B. Akguc, Jiangbin Gong, “Spin-dependent electron transport in two-dimensional waveguides of arbitrary geometry”, Phys Rev B, 77:20 (2008), 205302  crossref  isi
    96. Kuchment P., “Quantum graphs: an introduction and a brief survey”, Analysis on Graphs and its Applications, Proceedings of Symposia in Pure Mathematics, 77, 2008, 291–312  isi
    98. V. A. Geiler, D. A. Ivanov, I. Yu. Popov, “Approximation of a point perturbation on a Riemannian manifold”, Theoret. and Math. Phys., 158:1 (2009), 40–47  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    99. Durante T., Kardone D., Nazarov S.A., “Modelirovanie sochlenenii plastin i sterzhnei posredstvom samosopryazhennykh rasshirenii”, Vestn. Sankt-Peterburgskogo un-ta. Ser. 1: Matem., Mekh., Astronom., 2009, no. 2, 3–14  elib
    100. Gesztesy F., Mitrea M., Zinchenko M., “On Dirichlet-to-Neumann Maps and Some Applications to Modified Fredholm Determinants”, Methods of Spectral Analysis in Mathematical Physics, Operator Theory Advances and Applications, 186, 2009, 191–215  isi
    101. S. Clark, F. Gesztesy, M. Mitrea, “Boundary Data Maps for Schrödinger Operators on a Compact Interval”, Math Model Nat Phenom, 5:4 (2010), 73  crossref
    102. Fritz Gesztesy, Marius Mitrea, “A description of all self-adjoint extensions of the Laplacian and Kreǐn-type resolvent formulas on non-smooth domains”, Jama, 113:1 (2011), 53  crossref
    103. M. Gadella, G.P. Pronko, “The Friedrichs model and its use in resonance phenomena”, Fortschr. Phys, 2011, n/a  crossref
    104. Eremin D.A., Popov I.Yu., “Kvantovoe koltso s provodnikom:model dvukhchastichnoi zadachi”, Nanosistemy: fizika, khimiya, matematika, 2:2 (2011), 15–31  elib
    105. Anikevich A.S., “Spektralnaya zadacha dlya tsepochek slabosvyazannykh sharoobraznykh rezonatorov”, Nanosistemy: fizika, khimiya, matematika, 3:3 (2012), 23–30  elib
    106. Boitsev A.A., Popov I.Yu., Sokolov O.V., “Gamiltonian s tochechnymi potentsialami i beskonechnym chislom sobstvennykh znachenii”, Nanosistemy: fizika, khimiya, matematika, 3:4 (2012), 9–19  elib
    107. S. A. Nazarov, “Asymptotics of eigen-oscillations of a massive elastic body with a thin baffle”, Izv. Math., 77:1 (2013), 87–142  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    108. Konstantin Pankrashkin, “An example of unitary equivalence between self-adjoint extensions and their parameters”, Journal of Functional Analysis, 2013  crossref
    109. S. A. Nazarov, “The Mandelstam Energy Radiation Conditions and the Umov–Poynting Vector in Elastic Waveguides”, J Math Sci, 2013  crossref
    110. B. E. Kanguzhin, D. B. Nurakhmetov, N. E. Tokmagambetov, “Laplace operator with $\delta$-like potentials”, Russian Math. (Iz. VUZ), 58:2 (2014), 6–12  mathnet  crossref
    111. D.A.. Eremin, D.A.. Ivanov, I.Y.u. Popov, “Electron energy spectrum for a bent chain of nanospheres”, Eur. Phys. J. B, 87:8 (2014)  crossref
    112. A.S. Melikhova, I.Y.u Popov, “Bent and branched chains of nanoresonators”, J. Phys.: Conf. Ser, 541 (2014), 012061  crossref
    113. S. A. Nazarov, “Modeling of a Singularly Perturbed Spectral Problem by Means of Self-Adjoint Extensions of the Operators of the Limit Problems”, Funct. Anal. Appl., 49:1 (2015), 25–39  mathnet  crossref  crossref  zmath  isi  elib
    114. E.N. Grishanov, I.Yu. Popov, “Spectral properties of multi-layered graphene in a magnetic field”, Superlattices and Microstructures, 2015  crossref
    115. Vorobiev A.M. Popov I.Yu., “Model of Quantum Dot and Resonant States For the Helmholtz Resonator”, 2Nd International School and Conference Saint-Petersburg Open on Optoelectronics, Photonics, Engineering and Nanostructures (Spbopen2015), Journal of Physics Conference Series, 643, IOP Publishing Ltd, 2015, 012097  crossref  isi
    116. B. E. Kanguzhin, N. E. Tokmagambetov, “Resolvents of well-posed problems for finite-rank perturbations of the polyharmonic operator in a punctured domain”, Siberian Math. J., 57:2 (2016), 265–273  mathnet  crossref  crossref  mathscinet  isi  elib
    117. Kuchment P., “An overview of periodic elliptic operators”, Bull. Amer. Math. Soc., 53:3 (2016), 343–414  crossref  mathscinet  zmath  isi  elib  scopus
    118. Buttazzo G. Cardone G. Nazarov S.A., “Thin Elastic Plates Supported Over Small Areas. i: Korn'S Inequalities and Boundary Layers”, J. Convex Anal., 23:2 (2016), 347–386  mathscinet  zmath  isi
    119. V. S. Rabinovich, “Essential Spectrum of Schrödinger Operators with $\delta$-Interactions on Unbounded Hypersurfaces”, Math. Notes, 102:5 (2017), 698–709  mathnet  crossref  crossref  mathscinet  isi  elib
    120. Basti G. Teta A., “On the Quantum Mechanical Three-Body Problem With Zero-Range Interactions”, Functional Analysis and Operator Theory For Quantum Physics: the Pavel Exner Anniversary Volume, EMS Ser. Congr. Rep., ed. Dittrich J. Kovarik H. Laptev A., Eur. Math. Soc., 2017, 71–93  isi
    121. V. A. Kozlov, S. A. Nazarov, “Model of saccular aneurysm of the bifurcation node of the artery”, J. Math. Sci. (N. Y.), 238:5 (2019), 676–688  mathnet  crossref
  • Успехи математических наук Russian Mathematical Surveys
    Number of views:
    This page:841
    Full text:286
    First page:1

    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020