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Солдатов Андрей Владимирович

Публикаций: 90 (90)
в MathSciNet: 8 (8)
в zbMATH: 8 (8)
в Web of Science: 36 (36)
в Scopus: 28 (28)
Цитированных статей: 21
Ссылок в Math-Net.Ru: 1
Ссылок в Web of Science: 109
Ссылок в Scopus: 55

Статистика просмотров:
Эта страница:1631
Страницы публикаций:589
Полные тексты:100
Списки литературы:63
доцент
кандидат физико-математических наук (1987)
Специальность ВАК: 01.04.02 (теоретическая физика)
Дата рождения: 8.04.1961
Телефон: +7 (499) 941 03 63
E-mail:
Ключевые слова: равновесная и неравновесная статистическая механика, квантовая механика, полярон, системы пониженной размерности, источники окрашенного шума, когерентные состояния, сжатые состояния, полихроматические электромагнитные поля.

Основные темы научной работы

Математические методы равновесной и неравновесной статистической механики с приложениями к теории поляронов, физике систем многих взаимодействующих частиц, системам с электрон-фононным взаимодействием, системам взаимодействующих фермионов, кинетической теории и проблемам квантовой оптики. Верхние и нижние оценки для основного состояния и уровней энергии квантовых систем, вариационные методы квантовой механики, методы промежуточных задач в теории самосопряженных операторов в Гильбертовом пространстве с приложениями к теории систем пониженной размерности. Процессы переноса в системах пониженной размерности. Когерентные и сжатые состояния, теория квантовых систем, взаимодействующих с полихроматическими электромагнитными полями. Воздействие источников шума на динамические системы и неравновесные фазовые переходы в таких системах. Общие проблемы квантовой механики.

   
Основные публикации:
  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 с.  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 с.

http://www.mathnet.ru/rus/person25760
http://zbmath.org/authors/?q=ai:soldatov.andrei-vladimirovich
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

Полный список публикаций:
| по годам | по типам | по числу цитирований | научные публикации | общий список |



   2018
1. Н. Н. Боголюбов (мл.), А. В. Солдатов, “Алгебраические аспекты динамики квантовых многоуровневых систем в методе проекционного оператора”, ТМФ, 194:2 (2018), 259–276  mathnet  crossref  adsnasa  isi  elib; 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  crossref  isi  scopus
2. 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
3. Н. Н. Боголюбов (мл.), А. В. Солдатов, “Флуоресценция в квантовой системе с нарушенной симметрией”, ВМУ. Сер. 3. Физ., Астрон., 2018, № 2, 31–39  mathnet  isi; N. N. Bogolyubov (Jr.), A. V. Soldatov, “Fluorescence in a Quantum System with Violated Symmetry”, Moscow University Physics Bulletin, 73:2 (2018), 154–161  crossref  isi  scopus
4. N. N. Bogolubov Jr., A. V. Soldatov, “Dynamics of multi-level open quantum systems with initial system-environment correlations”, Phys. Part. Nucl. Lett., 2018 (to appear)
5. Nikolai N. Bogolyubov, Аndrey 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

   2017
6. 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
7. N.N. Bogolubov, Jr., A.V. Soldatov, “Numerical modelling of the evolution of open quantum multi-level systems”, Proceedings of the International Conference «Modern problems of mathematical modeling, data image processing and parallel computing» (September, 04 - 11, 2017. Divnomorsk, Gelendzhik, Krasnodar Krai, Russia), v. 1, 2017, 64-68
8. 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
9. 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  isi  scopus

   2016
10. 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
11. 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
12. Н. Н. Боголюбов (мл.), А. В. Солдатов, “Об оценках сверху в модели полярона Фрëлиха”, Современные проблемы математики, механики и математической физики. II, Сборник статей, Тр. МИАН, 294, МАИК, М., 2016, 293–299  mathnet  crossref  mathscinet  zmath  isi  elib; N. N. Bogolyubov Jr., A. V. Soldatov, “On upper bounds in the Fröhlich polaron model”, Proc. Steklov Inst. Math., 294 (2016), 276–282  crossref  mathscinet  zmath  isi  elib  scopus
13. Н. Н. Боголюбов (мл.), А. В. Солдатов, “Об улучшаемых оценках для поляронных систем во внешнем потенциале”, ВМУ. Сер. 3. Физ., Астрон., 71:4 (2016), 20–25  mathnet  isi  elib; 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  crossref  isi  elib  scopus
14. 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)
15. 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.

   2015
16. 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
17. 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
18. 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
19. 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

   2014
20. 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
21. 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
22. A. V. Soldatov, Improvable upper bounds to the piezoelectric polaron ground state energy, 2014 , 9 pp., arXiv: 1501.00193

   2013
23. N. N. Bogolubov Jr., A. V. Soldatov, Infinitely Improvable Upper Bound Estimates for Acoustical Polaron Ground State Energy, 2013 , 12 pp., arXiv: 1311.6278
24. 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)

   2011
25. 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
26. 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

   2010
27. 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)
28. A. V. Soldatov, “Infinitely improvable upper bounds in the theory of polarons”, Cond. Matter Phys., 13:4 (2010), 43701 , 9 pp.  crossref  isi  elib
29. 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

   2009
30. 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
31. 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
32. A. V. Soldatov, “Method of intermediate problems in the Fröhlich polaron model”, Cond. Matter. Phys., 12:4 (2009), 665–675  crossref  isi (cited: 1)  elib  scopus (cited: 1)
33. 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
34. 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
35. 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

   2008
36. 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
37. 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

   2007
38. 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)

   2006
39. 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: 23)
40. 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 (цит.: 3)  scopus (цит.: 3)
41. 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

   2005
42. 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)

   2004
43. 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)
44. 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

   2003
45. 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)
46. 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

   2002
47. 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
48. 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
49. 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

   2001
50. 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: 23)
51. 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
52. 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
53. 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

   2000
54. 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
55. 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
56. 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)
57. 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: 10)
58. 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
59. 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

   1999
60. 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
61. 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)
62. 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
63. 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

   1998
64. 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

   1997
65. 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)
66. 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)
67. 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)
68. 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
69. 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
70. 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

   1996
71. 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)

   1995
72. 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)

   1994
73. 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
74. 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
75. 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

   1993
76. 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
77. 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
78. N. N. Bogolubov (Jr.), A. V. Soldatov, Uniform upper bounds in the Frohlich polaron theory, Preprint ICTP IC/93/373, ICTP, Miramare-Trieste, 1993
79. 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

   1992
80. 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
81. 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

   1991
82. 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

   1990
83. А. В. Солдатов, “Кинетическое уравнение в теории неравновесных фазовых переходов, индуцированных “окрашенным” мультипликативным шумом”, ТМФ, 85:2 (1990), 288–301  mathnet (цит.: 1)  mathscinet  isi; 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  crossref  mathscinet  adsnasa  isi  scopus
84. 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
85. 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)

   1988
86. А. М. Курбатов, А. В. Солдатов, “Резонансная динамика в обобщенной модели квадрупольного взаимодействия”, ТМФ, 74:3 (1988), 457–462  mathnet  isi; A. M. Kurbatov, A. V. Soldatov, “Resonance dynamics in a generalized model of quadrupole interaction”, Theoret. and Math. Phys., 74:3 (1988), 312–315  crossref  adsnasa  isi  scopus
87. 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”, т. 1, Naukova Dumka, Kiev, 1988, 300–303

   1987
88. 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
89. 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

   1985
90. А. В. Солдатов, “Асимптотически точные решения модели типа Ли”, Вестник Москов. унив. Сер. III. Физ. Астроном., 26:2 (1985), 8–14  mathscinet

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