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2022
1.	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 ;
2.	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 ;

2021
3.	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
4.	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. (cited: 1);
5.	A. V. Soldatov, Low-frequency squeezing spectrum of a laser driven polar quantum emitter, 2021 , 6 pp., arXiv: 2112.11809v1

2020
6.	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. (cited: 3);
7.	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 (цит.: 1) ; 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 (cited: 1) (cited: 2)

2019
8.	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
9.	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 (cited: 2)

2018
10.	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
11.	N. N. Bogolyubov (Jr.), A. V. Soldatov, “On one possible generalization of the regression theorem”, Phys. Part. Nucl. Lett., 15:2 (2018), 168–173
12.	Н. Н. Боголюбов (мл.), А. В. Солдатов, “Флуоресценция в квантовой системе с нарушенной симметрией”, ВМУ. Сер. 3. Физ., Астрон., 2018, № 2, 31–39 (цит.: 2); N. N. Bogolyubov (Jr.), A. V. Soldatov, “Fluorescence in a Quantum System with Violated Symmetry”, Moscow University Physics Bulletin, 73:2 (2018), 154–161 (cited: 2) (cited: 5)
13.	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
14.	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. (cited: 2) (cited: 5) (cited: 5)
15.	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
16.	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
17.	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
18.	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 (cited: 1)
19.	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
20.	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
21.	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
22.	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. (cited: 3)
23.	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
24.	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
25.	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
26.	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
27.	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
28.	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
29.	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
30.	A. V. Soldatov, Improvable upper bounds to the piezoelectric polaron ground state energy, 2014 , 9 pp., arXiv: 1501.00193

2013
31.	N. N. Bogolubov Jr., A. V. Soldatov, Infinitely Improvable Upper Bound Estimates for Acoustical Polaron Ground State Energy, 2013 , 12 pp., arXiv: 1311.6278
32.	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
33.	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
34.	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
35.	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 (cited: 1) (cited: 1) (cited: 1)
36.	A. V. Soldatov, “Infinitely improvable upper bounds in the theory of polarons”, Cond. Matter Phys., 13:4 (2010), 43701 , 9 pp.
37.	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

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