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:
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
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.
A. V. Soldatov, “Method of intermediate problems in the Frohlich polaron model”, Cond. Matter. Phys., 12:4 (2009), 1–11
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
A. V. Soldatov, “Infinitely improvable upper bounds in the theory of polarons”, Cond. Matter Phys., 13:4 (2010), 43701, 9 с.
Н. Н. Боголюбов, А. В. Солдатов, “Флуоресценция некогерентно возбуждаемой полярной квантовой системы, находящейся под воздействием сильного нерезонансного внешнего поля”, ЭЧАЯ, 57:1 (2026), 1–6; N. N. Bogolyubov (Jr.), A. V. Soldatov, “Fluorescence by incoherently pumped polar quantum system driven by a strong off-resonant external field”, Phys. Part. Nucl., 57 (2026), 1–6
2025
2.
А. В. Солдатов, “Флуоресценция некогерентно возбуждаемой открытой квантовой полярной системы под воздействием нерезонансного импульса”, ТМФ, 225:3 (2025), 612–628; A. V. Soldatov, “Fluorescence of incoherently pumped open polar quantum system driven by a nonresonant pulse”, Theoret. and Math. Phys., 225:3 (2025), 2221–2234
2024
3.
А. В. Солдатов, “Математическое моделирование динамики спазера с нарушенной инверсионной симметрией в низкочастотном монохроматическом поле”, Математические аспекты механики, Сборник статей. К 60-летию академика Дмитрия Валерьевича Трещева и 70-летию члена-корреспондента РАН Сергея Владимировича Болотина, Труды МИАН, 327, МИАН, М., 2024, 303–316; A. V. Soldatov, “Mathematical Modeling of the Dynamics of a Spaser with Broken Inversion Symmetry in a Low-Frequency Monochromatic Field”, Proc. Steklov Inst. Math., 327 (2024), 287–299
4.
A. V. Soldatov, “Fluorescence by incoherently pumped polar quantum dot placed in a low-frequency monochromatic field”, Laser Physics Letters, 21:12 (2024), 125204, 7 pp.
5.
Nikolai N.Bogolyubov Jr. and Andrei Vl. Soldatov, Fluorescence by a polar quantum system in a polychromatic field, 2024, 18 pp., arXiv: 2412.11243
6.
Andrey V. Soldatov, Time-dependent fluorescence by incoherently pumped polar quantum dot driven by a low-frequency monochromatic field, 2024, 14 pp., arXiv: 2412.11249
2023
7.
Н. Н. Боголюбов (мл.), А. В. Солдатов, “Резонансная флуоресценция полярной квантовой системы в бихроматическом поле”, ТМФ, 217:3 (2023), 480–498; N. N. Bogolyubov, Jr., A. V. Soldatov, “Resonance fluorescence of polar quantum systems in a bichromatic field”, Theoret. and Math. Phys., 217:3 (2023), 1827–1841
N. N. Bogolyubov (Jr.), A. V. Soldatov, “Optoelectronic transistor effect in a polar quantum system driven by a trichromatic field”, Phys. Part. Nucl. Lett., 54:6 (2023), 1132–1141
Nikolai N. Bogolyubov (Jr.), Andrey V. Soldatov, “Fluorescence spectrum of a laser driven polar quantum emitter damped by degenerate squeezed vacuum with finite bandwidth”, Appl. Math. Inf. Sci., 16:2 (2022), 235–241
10.
N. N. Bogolyubov (Jr.), A. V. Soldatov, “Probe-absorption spectrum of a polar quantum emitter in a squeezed finite-bandwidth vacuum”, Phys. Part. Nucl. Lett., 19:1 (2022), 58–65
N. N. Bogolyubov (Jr.), A. V. Soldatov, “Fluorescence spectrum of a laser driven polar quantum emitter damped by degenerate squeezed vacuum with finite bandwidth”, International Conference Сontemporary Mathematics and its Application. Book of Abstracts (19-21 November, 2021 Uzbekistan,Tashkent), National University of Uzbekistan, 2021, p.73
12.
N. N. Bogolyubov (Jr.), A. V. Soldatov, “Low-frequency fluorescence spectrum of a laser driven polar quantum emitter damped by squeezed vacuum with finite bandwidth”, JPCS, 2056, 2021, 12001, 8 pp.
A. V. Soldatov, Low-frequency squeezing spectrum of a laser driven polar quantum emitter, 2021, 6 pp., arXiv: 2112.11809v1
2020
14.
N. N. Bogolyubov (Jr.), A. V. Soldatov, “Electromagnetic radiation amplification by means of a driven two-level system damped by broadband squeezed vacuum reservoir”, International Interdisciplinary Scientific Conference “Advanced Element Base of Micro- and Nano-Electronics” 2020 20-23 April 2020, Moscow, Russian Federation, JPCS, 1560, 2020, 12001, 9 pp.
Н. Н. Боголюбов (мл.), А. В. Солдатов, “Преобразование частоты высокочастотного электромагнитного поля в квантовой двухуровневой системе, взаимодействующей с резервуаром сжатого вакуумного поля”, ЭЧАЯ, 51:4 (2020), 893; N. N. Bogolyubov (Jr.), A. V. Soldatov, “EM Field Frequency Down-Conversion in a Quantum Two-Level System Damped by Squeezed Vacuum Reservoir”, Phys. Part. Nucl., 51:4 (2020), 762–765
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
17.
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
2018
18.
Н. Н. Боголюбов (мл.), А. В. Солдатов, “Алгебраические аспекты динамики квантовых многоуровневых систем в методе проекционного оператора”, ТМФ, 194:2 (2018), 259–276; 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
19.
N. N. Bogolyubov (Jr.), A. V. Soldatov, “On one possible generalization of the regression theorem”, Phys. Part. Nucl. Lett., 15:2 (2018), 168–173
20.
Н. Н. Боголюбов (мл.), А. В. Солдатов, “Флуоресценция в квантовой системе с нарушенной симметрией”, ВМУ. Сер. 3. Физ., Астрон., 2018, № 2, 31–39; N. N. Bogolyubov (Jr.), A. V. Soldatov, “Fluorescence in a Quantum System with Violated Symmetry”, Moscow University Physics Bulletin, 73:2 (2018), 154–161
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
2017
22.
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.
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
24.
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
25.
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.
2016
26.
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
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
28.
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; N. N. Bogolyubov Jr., A. V. Soldatov, “On upper bounds in the Fröhlich polaron model”, Proc. Steklov Inst. Math., 294 (2016), 276–282
29.
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; 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
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.
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
32.
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
33.
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
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
35.
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
36.
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
37.
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
38.
A. V. Soldatov, Improvable upper bounds to the piezoelectric polaron ground state energy, 2014, 9 pp., arXiv: 1501.00193
2013
39.
N. N. Bogolubov Jr., A. V. Soldatov, Infinitely Improvable Upper Bound Estimates for Acoustical Polaron Ground State Energy, 2013, 12 pp., arXiv: 1311.6278
40.
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
41.
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
42.
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
2010
43.
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
44.
A. V. Soldatov, “Infinitely improvable upper bounds in the theory of polarons”, Cond. Matter Phys., 13:4 (2010), 43701, 9 pp.
45.
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
46.
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
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
48.
A. V. Soldatov, “Method of intermediate problems in the Fröhlich polaron model”, Cond. Matter. Phys., 12:4 (2009), 665–675
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
50.
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
51.
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
52.
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
53.
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
54.
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
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
56.
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
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
58.
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
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
61.
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
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
63.
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
64.
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
65.
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
66.
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.
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
68.
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
69.
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
70.
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
71.
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
72.
Z. Ficek, J. Seke, A. V. Soldatov, G. Adam, “Phase control of subharmonic resonances”, Opt. Commun., 182 (2000), 143–150
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
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
75.
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
76.
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
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
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
79.
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
80.
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
1997
81.
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
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
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
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
85.
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
86.
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
87.
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
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
90.
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
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
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
94.
N. N. Bogolubov (Jr.), A. V. Soldatov, Uniform upper bounds in the Frohlich polaron theory, Preprint ICTP IC/93/373, ICTP, Miramare-Trieste, 1993
95.
N. N. Bogolubov, Jr., A. V. Soldatov, “Uniform upper bounds in the Frohlich polaron theory”, Mod. Phys. Lett. B, 7:27 (1993), 1773–1779
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
97.
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
1991
98.
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
99.
А. В. Солдатов, “Кинетическое уравнение в теории неравновесных фазовых переходов, индуцированных “окрашенным” мультипликативным шумом”, ТМФ, 85:2 (1990), 288–301; 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
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
101.
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
102.
А. М. Курбатов, А. В. Солдатов, “Резонансная динамика в обобщенной модели квадрупольного взаимодействия”, ТМФ, 74:3 (1988), 457–462; A. M. Kurbatov, A. V. Soldatov, “Resonance dynamics in a generalized model of quadrupole interaction”, Theoret. and Math. Phys., 74:3 (1988), 312–315
103.
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
104.
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
105.
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
106.
А. В. Солдатов, “Асимптотически точные решения модели типа Ли”, Вестник Москов. унив. Сер. III. Физ. Астроном., 26:2 (1985), 8–14
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