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Soldatov, Andrey Vladimirovich

Total publications: 91 (91)
in MathSciNet: 11 (11)
in zbMATH: 8 (8)
in Web of Science: 37 (37)
in Scopus: 30 (30)
Cited articles: 21
Citations in Math-Net.Ru: 1
Citations in Web of Science: 118
Citations in Scopus: 58

Number of views:
This page:2182
Abstract pages:805
Full texts:152
References:95
Associate professor
Candidate of physico-mathematical sciences (1987)
Speciality: 01.04.02 (Theoretical physics)
Birth date: 8.04.1961
Phone: +7 (499) 941 03 63
E-mail:
Keywords: statistical mechanics, quantum mechanics, polaron, low-dimensional systems, colored noise sources, coherent states, polychromatic electromagnetic fields.

Subject:

Mathematical methods of equilibrium and nonequilibrium statistical mechanics with applications to the polaron theory, physics of systems of many interacting particles, physics of electron-phonon interaction, systems of interacting fermions kinetic theory and problems of quantum optics. Upper and lower bounds for the ground-state energy and energy levels of quantum systems, variational methods in quantum mechanics, methods of intermediate problems in the theory of self-adjoint operators in Hilbert spaces with apllications to low-dimensional quantum nano-systems including quantum dots. Transport properties of low-dimensional quantum nano-systems. Coherent and squeezed states theory, theory of atomic, low-dimensional and mesoscopic systems interacting with polychromatic electromagnetic fields, alternation and control of physical properties of quantum systems by means of external fields of various nature. Dynamical systems driven by the colored noise sources, nonequilibrium phase transitions; in dynamical systems driven by the colored noise sources. General problems of quantum mechanics.

   
Main publications:
  1. A. V. Soldatov, “Generalization of the Peierls-Bogolubov inequality by means of a quantum-mechanical variational principle”, Proceedings of the Bogolubov Conference “PROBLEMS OF THEORETICAL AND MATHEMATICAL PHYSICS” (Moscow–Dubna–Kyiv, 27 September – 6 October 1999), PEPAN, 31, № 7B, JINR, Dubna, 2000, 138–144
  2. Z. Ficek, J. Seke, A. V. Soldatov, G. Adam, “Fluorescence spectrum of a two-level atom driven by a multiple modulated field”, Phys. Rev. A, 64 (2001), 013813, 10 ˝.  crossref  adsnasa
  3. A. V. Soldatov, “Method of intermediate problems in the Frohlich polaron model”, Cond. Matter. Phys., 12:4 (2009), 1–11
  4. A. V. Soldatov, “On lower bound estimates for the energy spectrum of the Fröhlich polaron model”, Phys. of Part. and Nucl., 41:7 (2010), 1079–1082  crossref  adsnasa
  5. A. V. Soldatov, “Infinitely improvable upper bounds in the theory of polarons”, Cond. Matter Phys., 13:4 (2010), 43701, 9 ˝.

http://www.mathnet.ru/eng/person25760
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https://mathscinet.ams.org/mathscinet/MRAuthorID/224472
http://elibrary.ru/author_items.asp?authorid=2653
http://www.researcherid.com/rid/I-5720-2014
http://www.scopus.com/authid/detail.url?authorId=35622862800
https://www.researchgate.net/profile/Andrey_Soldatov

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


1. Z. Ficek, J. Seke, A. V. Soldatov, G. Adam, N. N. Bogolubov (Jr.), “Multilevel coherence effects in a two-level atom driven by a trichromatic field”, Opt. Comm., 217 (2003), 299–309  crossref  adsnasa  isi (cited: 16)  elib (cited: 14)  scopus (cited: 17)
2. Z. Ficek, J. Seke, A. V. Soldatov, G. Adam, “Saturation of a two-level atom in polychromatic fields”, Journ. Opt. B: Quantum Semiclass. Opt., 2 (2000), 780–785  crossref  adsnasa  isi (cited: 8)  elib (cited: 9)  scopus (cited: 11)
3. Z. Ficek, J. Seke, A. V. Soldatov, G. Adam, “Phase control of subharmonic resonances”, Opt. Commun., 182 (2000), 143–150  crossref  adsnasa  isi (cited: 9)  elib (cited: 7)  scopus (cited: 9)
4. J. Seke, A. V. Soldatov, N. N. Bogolubov (Jr.), “A new technique for the construction of effective Hamiltonians”, Phys. Lett. A, 236:5-6 (1997), 361–372  crossref  mathscinet  zmath  adsnasa  isi (cited: 7)  elib (cited: 5)  scopus (cited: 5)
5. A. V. Soldatov, “Method of intermediate problems in the Fröhlich polaron model”, Cond. Matter. Phys., 12:4 (2009), 665–675  crossref  isi (cited: 3)  elib  scopus (cited: 3)
6. A. V. Soldatov, J. Seke, G. Adam, “On the momentum representation of the spinor components of relativistic eigenfunctions and the Fourier transforms of their multiple products in the case of hydrogen-like atoms”, Int. J. Mod. Phys. B, 20:9 (2006), 1123–1139  crossref  zmath  adsnasa  elib (cited: 3)  scopus (cited: 3)
7. N. N. Bogolubov (Jr.), A. V. Soldatov, “Hartree–Fock–Bogolubov approximation in the models with general four-fermion interaction”, Internat. J. Modern Phys. B, 10:5 (1996), 579–597  crossref  mathscinet  adsnasa  isi (cited: 3)  elib (cited: 3)  scopus (cited: 3)
8. A. V. Soldatov, J. Seke, G. Adam, “Evaluation of relativistic transition matrix elements of hydrogenic atoms using plane wave expansion”, Int. Journ. of Mod. Phys. B, 21:22 (2007), 3825–3840  crossref  zmath  adsnasa  isi (cited: 2)  elib (cited: 2)  scopus (cited: 2)
9. A. V. Soldatov, “On lower bound estimates for the energy spectrum of the Fröhlich polaron model”, Phys. of Part. and Nucl., 41:7 (2010), 1079–1082  crossref  adsnasa  isi (cited: 1)  elib (cited: 1)  scopus (cited: 1)
10. A. V. Soldatov, “On the stochastic variational approach to lower bounds for energy eigenvalues of few-body quantum systems”, Modern Phys. Lett. B, 19:7-8 (2005), 361–369  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib (cited: 1)  scopus (cited: 1)
11. A. V. Soldatov, “On Lower and Upper Bounds for Energy Eigenvalues of Quantum Dots”, Int. J. Mod. Phys. B, 18:2 (2004), 211–223  crossref  zmath  adsnasa  isi (cited: 2)  elib (cited: 1)  scopus (cited: 1)
12. J. Seke, A. V. Soldatov, N. N. Bogolubov (Jr.), “Application of the Seke Self-Consistent Projection Operator Method in the Case of a Discretized Atom-Field Interaction Model”, Int. J. Mod. Phys. B, 13:26 (1999), 3159–3170  crossref  adsnasa  isi (cited: 1)  elib  scopus (cited: 1)
13. J. Seke, A. V. Soldatov, N. N. Bogolubov (Jr.), “Novel technique for quantum-mechanical eigenstate and eigenvalue calculations based on Seke's self-consistent projection-operator method”, Mod. Phys. Lett. B, 11:6 (1997), 245–258  crossref  adsnasa  isi (cited: 1)  elib (cited: 1)  scopus (cited: 1)
14. N. N. Bogolyubov, Jr., A. V. Soldatov, “Dynamics of multi-level open quantum systems with initial system-environment correlations”, Phys. Part. Nucl. Lett., 16:2 (2019), 79–84  mathnet  crossref  isi  scopus
15. Nikolai N. Bogolyubov, Jr., Andrey V. Soldatov, “Time-convolutionless master equation for multi-level open quantum systems with initial system-environment correlations”, Appl. Math. Inf. Sci., 13:5 (2019), 725–734  mathnet  crossref  mathscinet
16. N. N. Bogolyubov (Jr.), A. V. Soldatov, “Algebraic aspects of the dynamics of quantum multilevel systems in the projection operator technique”, Theoret. and Math. Phys., 194:2 (2018), 220–235  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
17. N. N. Bogolyubov (Jr.), A. V. Soldatov, “On one possible generalization of the regression theorem”, Phys. Part. Nucl. Lett., 15:2 (2018), 168–173  mathnet  crossref  isi  scopus
18. N. N. Bogolyubov (Jr.), A. V. Soldatov, “Fluorescence in a Quantum System with Violated Symmetry”, Moscow University Physics Bulletin, 73:2 (2018), 154–161  mathnet  crossref  isi  elib  scopus
19. Nikolai N. Bogolyubov, Andrey V. Soldatov, “Fluorescence in quantum systems with violated symmetry”, 3rd Edition of International Conference on Advanced Spectroscopy, Crystallography and Applications in Modern Chemistry (London, June 04-05 , 2018), Struct. Chem. Crystallogr. Commun., 4, 2018, 20–21  mathnet  crossref
20. Andrey V. Soldatov, “Broadband EM radiation amplification by means of a monochromatically driven two-level system”, Mod. Phys. Lett. B, 31:4 (2017), 1750027 , 11 pp.  mathnet  crossref  isi  scopus  scopus
21. N.N. Bogolubov, Jr., A.V. Soldatov, “Numerical modelling of the evolution of open quantum multi-level systems”, Proceedings of the International Conference źModern problems of mathematical modeling, data image processing and parallel computing╗ (September, 04 - 11, 2017. Divnomorsk, Gelendzhik, Krasnodar Krai, Russia), v. 1, 2017, 64-68
22. N.N. Bogolubov, Jr., A.V. Soldatov, “Density operator and correlation functions calculation for multi-level open quantum systems”, ICMS, The 7th International Conference on Magnetoscience, Book of Abstracts (Université de Reims Champagne-Ardenne REIMS, FRANCE October 23-27, 2017), Université de Reims Champagne-Ardenne, 2017, 58
23. Nikolai N. Bogolubov, Andrey V. Soldatov, “Algebraic aspects of the driven dynamics in the density operator and correlation functions calculation for multi-level open quantum systems”, Int. J. Mod. Phys. B, 31:32 (2017), 1850044 , 19 pp.  mathnet  crossref  mathscinet  isi  scopus
24. N. N. Bogolubov Jr., A. V. Soldatov, “Variational master equation approach to dynamics of magnetic moments”, Phys. Part. Nucl. Lett., 13:4 (2016), 460–465  mathnet  crossref  isi (cited: 1)  elib  scopus
25. N. N. Bogolyubov, Jr., A. V. Soldatov, “On improvable upper bounds for confined polaron-type systems placed in external constant magnetic field.”, 7th International Workshop on Materials Analysis and Processing in Magnetic Fields, Book of Abstracts (June 15–18, 2016, Brown University, Providence, RI USA), Brown University Publishing, 2016, 31
26. N. N. Bogolyubov Jr., A. V. Soldatov, “On upper bounds in the Fröhlich polaron model”, Proc. Steklov Inst. Math., 294 (2016), 276–282  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
27. N. N. Bogolyubov Jr., A. V. Soldatov, “On Improvable Bounds for Polaron Systems in an External Potential”, Moscow University Physics Bulletin, 71:4 (2016), 356–362  mathnet  crossref  isi  elib  elib  scopus
28. Andrey V. Soldatov, “Laser frequency down-conversion by means of a monochromatically driven two-level system”, Mod. Phys. Lett. B, 30:27 (2016), 1650331 , 11 pp.  mathnet  crossref  adsnasa  isi (cited: 1)
29. N. N. Bogolubov, Jr., A. V. Soldatov, “Em radiation frequency down-conversion and amplification by means of a monochromatically driven two-level quantum system”, New Tendencies of Developing Fundamental and Applied Physics: Problems, Achievements, Prospectives, The International Symposium, Book of Abstracts (Tashkent, Uzbekistan, November 10-11, 2016), National University of Uzbekistan Publishing, 2016 , 25 pp.
30. N. N. Bogolubov Jr., A. V. Soldatov, S. P. Kruchinin, “On the energy spectrum of two-electron quantum dot in external magnetic field”, Nanotechnology in the security systems, Proceedings of NATO ARW International Conference NSS-2013 (29 September – 3 October 2013, Yalta, Ukraine), NATO Sci. Peace Secur. Ser. C Environ. Secur., XVII, eds. J. Bonca and S. Kruchinin, Springer, 2015, 55–67  mathnet  crossref  isi
31. N. N. Bogolubov Jr., A. V. Soldatov, S. P. Kruchinin, “The theory of quantum dots in external magnetic field”, Quantum Matter, 4:4 (2015), 352–357  mathnet  crossref
32. N. N. Bogolubov Jr., A. V. Soldatov, “Variational master equation approach in the approximating Hamiltonian method”, Book of Abstracts, COPDE-2015, Conference on Partial Differential Equations (München, March 25 – 29, 2015), München Technical University Press, 2015, 6
33. N. N. Bogolubov, Jr., A. V. Soldatov, “Variational master equation approach to dynamics of magnetic moments”, International conference on Magneto-Science 2015, Book of Abstracts (Matsumoto, Japan, October 27–31, 2015), Shinshu University Publishing, 2015
34. N. N. Bogolubov, Jr., A. V. Soldatov, “Polaron Models in External Magnetic Field”, 6th International Workshop on Materials Analysis and Processing in Magnetic Fields, Book of Abstracts (Okinawa, Japan, July 8–11, 2014), National Institute for Materials Science, Kagoshima University, 2014, 35
35. J. Seke, A. V. Soldatov, M. Polak, G. Adam, Computationally efficient analytic representation of relativistic transition matrix elements in the Lamb shift calculations for hydrogenic atoms, 2014 , 12 pp., arXiv: 1412.5105
36. A. V. Soldatov, Improvable upper bounds to the piezoelectric polaron ground state energy, 2014 , 9 pp., arXiv: 1501.00193
37. N. N. Bogolubov Jr., A. V. Soldatov, Infinitely Improvable Upper Bound Estimates for Acoustical Polaron Ground State Energy, 2013 , 12 pp., arXiv: 1311.6278
38. N. N. Bogolubov Jr., A. V. Soldatov, S. P. Kruchinin, “On the energy spectrum of two-electron quantum dot in external magnetic field”, Int. Conference “Electron Correlation in Nanostructures (ECN-2013)”, Book of Abstracts (3–6 October 2013, Yalta, Ukraine), ARW NATO, 2013, 43 (full text is to appear in the proceedings of the conference)
39. G. Adam, A. V. Soldatov, J. Seke, M. Polak,, “On relativistic photoexcitation and decay rates in hydrogenic atoms”, 61th Joint Annual Meeting of the Austrian Physical Society - OPG and Swiss Physical Society - SPS (June 15–17, 2011 at the EPFL in Lausanne), Book of Abstracts, 2011, 127
40. N. N. Bogolubov, Jr., A. V. Soldatov, “Wick's Symbol Approach to the Impurity Bound Fröhlich Polaron”, Proceedings of the 2nd International Conference on Photonics (ICP 2011, organised by IEEE Photonics Society, Malaysia Chapter) (17–19 October, Le Meridien, Kota Kinabalu, Malaysia), IEEE, 2011, 289–292  crossref  scopus
41. A. V. Soldatov, “Infinitely improvable upper bounds in the theory of polarons”, Cond. Matter Phys., 13:4 (2010), 43701 , 9 pp.  crossref  isi  elib
42. G. Adam, A. V. Soldatov, J. Seke, M. Polak,, “Hypergeometric Function Representation of Relativistic Transition Matrix Elements for Hydrogenic Atoms and their Contributions to the Lamb Shift”, 60th Annual Meeting of the Austrian Physical Society - OPG (September 6–10, 2010 at the University of Salzburg), Book of Abstracts, 2010, 159
43. A. V. Soldatov, J. Seke, G. Adam, M. Polak, “Hypergeometric function representation of relativistic transition matrix elements for hydrogenic atoms”, Mod. Phys. Lett. B, 23:2 (2009), 111–119  crossref  zmath  adsnasa  isi  elib  scopus
44. N. N. Bogolyubov (Jr.), A. V. Soldatov, “Wick's symbol approach to the Fröhlich polaron problem”, Ukr. J. Phys., 54:8-9, Special issue dedicated to the 100-th anniversary of academician N. N. Bogolyubov (2009), 873–880
45. A. V. Soldatov, “Method of intermediate problems in the Frohlich polaron model”, The 3-d International Conference “Statistical Physics: Modern Trends and Applications” dedicated to the 100-th anniversary of academician N. N. Bogolyubov (1909–1992) (June 23–25, 2009, Lviv, Ukraine), Book of Abstracts, Lviv, 2009, 217
46. A. V. Soldatov, “On lower bound estimates for the energy spectrum of the Fröhlich polaron model”, The International Bogolyubov Conference “Problems of Theoretical and Mathematical Physics”, Book of Abstracts, JINR, Dubna, 2009, 256
47. A. Gerhard, A. V. Soldatov, J. Seke, M. Polak, “Hypergeometric function representation of relativistic transition matrix elements for hydrogenic atoms”, Joint Annual Meeting of the Austrian Physical Society, Swiss Physical Society and Austrian Society of Astronomy and Astrophysics with participation of the Swiss Society for Astrophysics and Astronomy (September 2–4, 2009, University of Innsbruck), Book of Abstracts, University of Innsbruck, 2009, 59
48. A. V. Soldatov, J. Seke, G. Adam, M. Polak, “Closed analytic form for evaluation of relativistic bound-unbound and unbound-unbound transition matrix elements of hydrogenic atoms”, Int. J. Mod. Phys. B, 22:29 (2008), 5095–5102  crossref  zmath  adsnasa  isi  elib  scopus
49. A. V. Soldatov, J. Seke, G. Adam, M. Polak, “Computationally efficient analytic representation of relativistic bound-bound, bound-unbound and unbound-unbound transition matrix elements for hydrogenic atoms”, The 58th annual conference of the Austrian Physical Society (22–26 September 2008, University of Leoben), Book of Abstracts, 2008
50. A. V. Soldatov, N. N. Bogolyubov (Jr.), S. P. Kruchinin, “Method of intermediate problems in the theory of Gaussian quantum dots placed in a magnetic field”, Cond. Matter Phys.., 9:1(45) (2006), 1–9  isi (cited: 29)
51. A. V. Soldatov, N. N. Bogolubov (Jr.), On the exact spectra of two electrons confined by two-dimensional Quantum Dots, Preprint ICTP, The Abdul Salam International Center for Theoretical Physics, Trieste, Italy, 2006
52. A. V. Soldatov, J. Seke, G. Adam, “On the momentum representation of the spinor components of relativistic eigenfunctions and the Fourier transformation of their multiple products for hydrogen-like atoms”, The 54th annual conference of the Austrian Physical Society (September 28–30, 2004, University of Linz), Book of Abstracts, 2004
53. Z. Ficek, J. Seke, A. V. Soldatov, G. Adam, N. N. Bogolubov (Jr.), O. Hittmair, “Multilevel coherence effects in a two-level atom driven by a trichromatic field”, The 53th annual conference of the Austrian Physical Society (October 1–2, 2003, University of Salzburg), Book of Abstracts, 2003
54. Z. Ficek, J. Seke, A. V. Soldatov, G. Adam, N. N. Bogolubov (Jr.), “Absorption and dispersion by a multiple driven two-level atom”, Eur. Phys. J. D, 19 (2002), 411–419  adsnasa  isi  elib  scopus
55. Z. Ficek, J. Seke, A. V. Soldatov, G. Adam, N. N. Bogolubov (Jr.), “Absorption and dispersion by a multiple driven two-level atom”, The 52th annual conference of the Austrian Physical Society (September 23–26, 2002, University of Leoben), Book of Abstracts, 2002
56. J. Seke, A. V. Soldatov, N. N. Bogolubov (Jr.), G. Adam, “The complete treatment of the time evolution in the case of a discretized atom-field interaction model”, The 52th annual conference of the Austrian Physical Society (September 23–26 2002, University of Leoben), Book of Abstracts, 2002
57. Z. Ficek, J. Seke, A. V. Soldatov, G. Adam, “Fluorescence spectrum of a two-level atom driven by a multiple modulated field”, Phys. Rev. A, 64 (2001), 013813 , 10 pp.  crossref  adsnasa  isi (cited: 24)
58. J. Seke, A. V. Soldatov, N. N. Bogolubov (Jr.), “The complete treatment of the time evolution in the case of a discretized atom-field interaction model”, Mod. Phys. Lett. B, 15:21 (2001), 883–894  crossref  isi  elib  scopus
59. Z. Ficek, J. Seke, A. V. Soldatov, G. Adam, “Fluorescence spectrum of a two-level atom driven by a multiple modulated field”, The 51th annual conference of the Austrian Physical Society (September 2001, Technical University of Vienna), Book of Abstracts, 2001
60. Z. Ficek, J. Seke, A. V. Soldatov, G. Adam, “Probe absorption spectrum of a two-level atom driven by a multiple modulated field”, The 51th annual conference of the Austrian Physical Society (September 2001, Technical University of Vienna), Book of Abstracts, 2001
61. A. V. Soldatov, J. Seke, N. N. Bogolubov (Jr.), “On the Widder inversion method in problems of statistical mechanics”, Cond. Matt. Phys., 3:2(22) (2000), 371–380  crossref
62. A. V. Soldatov, “Generalization of the Peierls-Bogolubov inequality by means of a quantum-mechanical variational principle”, Proceedings of the Bogolubov Conference “PROBLEMS OF THEORETICAL AND MATHEMATICAL PHYSICS” (Moscow–Dubna–Kyiv, 27 September – 6 October 1999), PEPAN, 31, no. 7B, JINR, Dubna, 2000, 138–144
63. Z. Ficek, J. Seke, A. V. Soldatov, G. Adam, “Phase control of subharmonic resonances"”, The 50th annual conference of the Austrian Physical Society (September 2000, Graz University), Book of Abstracts, 2000
64. Z. Ficek, J. Seke, A. V. Soldatov, G. Adam, “Saturation of a two-level atom in polychromatic fields”, The 50th annual conference of the Austrian Physical Society (September 2000, Graz University), Book of Abstracts, 2000
65. J. Seke, A. V. Soldatov, N. N. Bogolubov (Jr.), “Deviations from spontaneous Lyman-$\alpha$ exponential decay revisited: A rigorous treatment within a two-level nonrelativistic model”, Int. Journ. Mod. Phys. Lett. B, 13:16 (1999), 531–539  crossref  adsnasa  isi (cited: 2)  elib
66. A. V. Soldatov, J. Seke, N. N. Bogolubov (Jr.), “On the Widder inversion method in problems of statistical mechanics”, The International conference on the problems of condensed matter physics (June 15–20, 1999, Lviv, Ukraine), Book of Abstracts, 1999
67. A. V. Soldatov, “Generalization of the Peierls-Bogolubov inequality by means of a quantum-mechanical variational principle”, Bogolubov Conference “PROBLEMS OF THEORETICAL AND MATHEMATICAL PHYSICS” (Moscow–Dubna–Kyiv, 27 September – 6 October 1999), Book of Abstracts, 1999
68. A. V. Soldatov, J. Seke, “Wigner function formalism in the kinetic theory of the polaron-like systems”, Proceedings of the 5th Wigner Symposium (Vienna, 1997), World Sci. Publ., River Edge, NJ, 1998, 352–354  mathscinet
69. J. Seke, A. V. Soldatov, N. N. Bogolubov (Jr.), “The Seke self-consistent projection-operator approach for the calculation of quantum-mechanical eigenvalues and eigenstates”, Physica A, 246 (1997), 221–240  crossref  adsnasa  isi (cited: 2)  elib (cited: 1)
70. A. V. Soldatov, J .Seke, “Wigner Function Formalism in the Kinetic Theory of the Polaron-like Systems”, Proceedings of the 5th Wigner Symposium (25–29 August 1997, Technical University of Vienna, Austria), World Scientific Publ. Co., Singapore, 1997
71. J. Seke, A. V. Soldatov N. N. Bogolubov (Jr.), “Novel technique for quantum-mechanical eigenstate and eigenvalue calculations based on the self-consistent projection-operator method”, Proceedings of the 5th Wigner Symposium (25–29 August 1997, Technical University of Vienna, Austria), World Scientific Publ. Co., Singapore, 1997
72. J. Seke, A. V. Soldatov, N. N. Bogolubov (Jr.), “The Seke self-consistent projection-operator approach for the calculation of quantum-mechanical eigenvalues and eigenstates”, The 47th Annual Conference of the Austrian Physical Society (22–26 September, 1997, Wien University), Book of Abstracts, 1997
73. A. V. Soldatov, “Generalized variational principle in quantum mechanics”, Internat. J. Modern Phys. B, 9:22 (1995), 2899–2936  crossref  mathscinet  adsnasa  isi (cited: 4)
74. N. N. Bogolubov, Jr., A. V. Soldatov, “On the spectrum of excitations in the Frohlich polaron model”, Proceedings of the Int. Workshop devoted to N. N. Bogolubov (19–21 August, Dubna, JINR, 1993), JINR, Dubna, 1994
75. A. V. Soldatov, “Upper Bound on the Ground-State Energy for the Frohlich Polaron in a Magnetic Field”, Int. J. of Mod. Phys. Lett. B, 8:10 (1994), 629–639  crossref  adsnasa
76. A. V. Soldatov, “Continuous upper bound on the ground-state energy of the Frohlich polaron”, Mod. Phys. Lett. B, 8:8-9 (1994), 553–560  crossref  adsnasa
77. A. V. Soldatov, “Purely noise-induced phase transition in the model of gene selection with colored noise term”, Mod. Phys. Lett. B, 7:19 (1993), 1253–1261  crossref  adsnasa
78. A. V. Soldatov, “First order-like and second order-like noise-induced phase transitions in the colored-loss-noise dye-laser models”, Laser Physics, 3:1 (1993), 175–181  isi
79. N. N. Bogolubov (Jr.), A. V. Soldatov, Uniform upper bounds in the Frohlich polaron theory, Preprint ICTP IC/93/373, ICTP, Miramare-Trieste, 1993
80. N. N. Bogolubov, Jr., A. V. Soldatov, “Uniform upper bounds in the Frohlich polaron theory”, Mod. Phys. Lett. B, 7:27 (1993), 1773–1779  crossref  adsnasa
81. A. V. Soldatov, “Noise-induced nonequilibrium phase transitions in the colored loss-noise dye-laser model”, Int. J. of Mod. Phys. B, 6:17 (1992), 2855–2874  crossref  adsnasa  isi
82. A. V. Soldatov, “To the colored-loss-noise dye-laser model with additive noise term below threshold”, Mod. Phys. Lett. B, 6:20 (1992), 1273–1281  crossref  adsnasa
83. A. V. Soldatov, “Projection formalism in the theory of nonequilibrium phase transitions induced by the colored noise”, All-union conference “Contemporary problems of statistical mechanics” (Harkiv, 1991), Book of Abstracts, 1991, 115
84. A. V. Soldatov, “Kinetic equation in the theory of nonequilibrium phase transitions induced by “colored” multiplicative noise”, Theoret. and Math. Phys., 85:2 (1990), 1213–1222  mathnet  crossref  mathscinet  adsnasa  isi  scopus
85. A. V. Soldatov, Generalized kinetic equation in the theory of nonequilibrium phase transitions induced by the colored multiplicative noise, Preprint of the V. A. Steklov Math. Inst. (Reports on Mathematics and Applications), no. 14, Moscow, 1990
86. A. V. Soldatov, Projection formalism and generalized kinetic equation in the theory of nonequilibrium phase transitions induced by the colored multiplicative noise, Preprint of the V. A. Steklov Math. Inst. (Reports on Mathematics and Applications), no. 15, Moscow, 1990 (in Russian)
87. A. M. Kurbatov, A. V. Soldatov, “Resonance dynamics in a generalized model of quadrupole interaction”, Theoret. and Math. Phys., 74:3 (1988), 312–315  mathnet  crossref  adsnasa  isi  scopus
88. A. M. Kurbatov, A. V. Soldatov, “Anomalous relaxation and resonant dynamics in admixed crystalline systems”, Proceedings of the III Int. Workshop “Nonlinear and Turbulent Processes in Physics”, v. 1, Naukova Dumka, Kiev, 1988, 300–303
89. A. M. Kurbatov, A. V. Soldatov, “On the resonant behavior of the longitudinal relaxation constant in admixed crystall $(K-Na)TaO_3$”, All-union conference “Contemporary problems of statistical mechanics” (Lviv, 1987), Book of Abstracts, 1987
90. A. M. Kurbatov, A. V. Soldatov, “Kinetic equation for excitonic distribution function in polar semiconductors”, All-union conference “Contemporary problems of statistical mechanics” (Lviv, 1987), Book of Abstracts, 1987
91. A. V. Soldatov, “Asimptoticheski tochnye resheniya modeli tipa Li”, Vestnik Moskov. univ. Ser. III. Fiz. Astronom., 26:2 (1985), 8–14  mathscinet

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