| List of publications: |
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Citations (Crossref Cited-By Service + Math-Net.Ru) |
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 2026 |
| 1. |
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    |
| 2. |
N. N. Bogolyubov (Jr.), A. K. Prikarpatskii, “Some remarks on the electron spin $SU(2) \times SU(2)$-symmetry structure and the related ground state properties”, Phys. Part. Nucl., 57:1 (2026), 151–166 |
| 3. |
N. N. Bogolyubov (Jr.), M. Yu. Rasulova, and I. A. Tishabaev, “Generalized Kinetic Approach to the Rabi Dynamics in the Jaynes-Cummings Model”, Applied Mathematics & Information Sciences, 20:4 (2026), 1071–1076 http://www.naturalspublishing.com/files/published/46jkdlvg6z5346.pdf |
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| 2025 |
| 4. |
Nikolai N. Bogolyubov (Jr.), Anatolij K. Prikarpatskii, “A charged hadronic string model within the R.P. Feynman proper time paradigm and vacuum field theory approach”, JPCS, 2987, 2025, 12009, 14 pp. |
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| 2024 |
| 5. |
N. N. Bogolyubov (Jr.), M. Yu. Rasulova, “The Solution of the Hierarchy of Quantum Kinetic Equations for Correlation Matrices with Delta function Potential”, Appl. Math. Inf. Sci., 18:2 (2024), 217–221 |
| 6. |
Nikolai Bogolyubov Jr, Andrei V. Soldatov, “Fluorescence by a polar quantum system in a polychromatic field”, Rutgers University The State University N J. 126 Statistical mechanics Conference USA (Center of Mathematical Science Research Rutgers University may 19–21, 2024), eds. Prof. Joel. L. Lebovitz, Rutgers University, The State University of New Jersey, 2024 |
| 7. |
N. N. Bogolyubov, A. V. Soldatov, Fluorescence by a polar quantum system in a polychromatic field, 2024, 18 pp., arXiv: 2412.11243 |
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| 2023 |
| 8. |
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     |
| 9. |
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
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| 10. |
Mariam Algarni, Kamal Berrada, Sayed Abdel-Khalek, N. N. Bogolyubov, “Quantum coherence and entanglement of the system of a five-level atom in the presence of nonlinear fields”, J. Eur. Opt. Society-Rapid Publ., 19 (2023), 46, 7 pp.
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3
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| 2022 |
| 11. |
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
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1
[x]
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| 12. |
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
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2
[x]
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| 13. |
N. N. Bogolubov(Jr), Mukhayo Yn. Rasulova T. V. Akhramov, U. Avazov, “Chapter 12 - A chain of kinetic equations of Bogoliubov-–Born-–Green-–Kirkwood-–Yvon and its application to nonequilibrium complex systems”, Multi-Chaos, Fractal and Multi-Fractional Artificial Intelligence of Different Complex Systems, Elsevier, 2022, 201–213 |
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| 2021 |
| 14. |
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.
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1
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| 15. |
Nicolai Bogoliubov, Jr., Mukhayo Rasulova, Tohir Akramov, “Generalization of the Gross–Pitaevskii equation for multi-particle cases”, Internat. J. Modern Phys. B, 35:30 (2021), 2150311, 13 pp.
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1
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| 2020 |
| 16. |
S. Abdel-Khalek, E. M. Khalil, Beida Alsubei, N. N. Bogolyubov (Jr.), M. Yu. Rasulova, “Entangled Pair of the $su(1)$ Quantum Systems Interecting with two two-level Atoms”, J. Russian Laser Research, 41:1 (2020), 30–39
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2
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| 17. |
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.
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2
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| 18. |
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 |
| 19. |
N. N. Bogolyubov (Jr.), D. Prorok, A. K. Prikarpatskii, “Integrability Aspects of the Current Algebra Representation and the Factorized Quantum Nonlinear Schrödinger Type Dynamical Systems”, Phys. Part. Nucl., 51:4 (2020), 434–442 |
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| 2019 |
| 20. |
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 |
| 21. |
N.N. Bogolyubov, Jr.,, “Model Systems with repulsive interections in statistical mechanics”, Program of the 121st Statistical Mechanics conference (Rutgers University, USA, New Brunswick, May 12–14, 2019), v. 1, eds. Prof. J. L. Lebovitz, Rutgers University, New Brunswick, USA, 2019, 1, B5 |
| 22. |
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 |
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| 2018 |
| 23. |
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 |
| 24. |
N. N. Bogolyubov (Jr.), A. V. Soldatov, “On one possible generalization of the regression theorem”, Phys. Part. Nucl. Lett., 15:2 (2018), 168–173 |
| 25. |
N. N. Bogolyubov (Jr.), A. V. Glushchenko, M. Yu. Kovalevsky, “Quasiaverages and degenerate quantum equilibriums of magnetic systems with $SU(3)$ symmetry of the exchange interaction”, Theoret. and Math. Phys., 195:2 (2018), 704–717 |
| 26. |
N. N. Bogolyubov (Jr.), A. V. Soldatov, “Fluorescence in a Quantum System with Violated Symmetry”, Moscow University Physics Bulletin, 73:2 (2018), 154–161 |
| 27. |
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 |
| 28. |
H. H. Bogolyubov, H. H. Bogolyubov (ml.), Vvedenie v kvantovuyu statisticheskuyu mekhaniku, 3-e izdanie, M., Editorial URSS, 2018, 384 pp. |
| 29. |
Nikolai N. Bogolyubov, “Fluorescence and amplification in quantum systems with violated symmetry”, 3rd International Conference on Applied Physics (August 23-24, 2018, London, UK), J. Appl. Math. Stat. App., 1, 2018, 22 |
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| 2017 |
| 30. |
A. K. Prikarpatski, N. N. Bogolyubov (Jr.), “The quantum charged particle self-interaction problem within the Fock many temporal and Feynman proper time paradigms”, Phys. Part. Nucl. Lett., 14:1 (2017), 87–101 |
| 31. |
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), 2017, 1–5 |
| 32. |
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”, Internat. J. Modern Phys. B, 31:32 (2017), 1850044, 19 pp. |
| 33. |
Nikolai (Jr.) Bogolubov, Mukhayo Rasulova, Umarbek Avazov, “The solution of the hierarchy of quantum kinetic equations for correlation matrices with generalized Yukawa potential”, Appl. Math. Inf. Sci., 11:6 (2017), 1537–1542 |
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| 2016 |
| 34. |
N. N. Bogolyubov (Jr.), M. Yu. Rasulova, U. A. Avazov, “Evolution of a quantum system of many particles interacting via the generalized Yukawa potential”, Theoret. and Math. Phys., 189:3 (2016), 1790–1795 |
| 35. |
Nikolai N. Bogolubov Jr, Andrey V. Soldatov, “On improvable upper bounds for confined polaron-type systems placed in external constant magnetic field.”, Invited report, The 7th International Workshop on Materials Analysis and Processing in Magnetic Fields, MAP7 (Brown University, June 15–18, 2016), Brown University, Providence, RI, 2016, 14 |
| 36. |
A. K. Prykarpatsky, N. N. Bogolubov, Jr., “On the classical Maxwell–Lorentz Electrodynamics, the electron inertia problem, and the feynman proper time paradigm”, Ukr. J. Phys., 61:3 (2016), 187–212
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5
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| 37. |
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
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1
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| 38. |
N. N. Bogolyubov Jr., A. V. Soldatov, “On upper bounds in the Fröhlich polaron model”, Proc. Steklov Inst. Math., 294 (2016), 276–282  |
| 39. |
N. N. Bogolyubov (Jr.), D. Blackmore, A. K. Prikarpatskii, “The Lagrangian and Hamiltonian Aspects of the Electrodynamic Vacuum-Field Theory Models”, BJMP, 2:2 (2016), 105–196 |
| 40. |
N. N. Bogolubov Jr., A. K. Prikarpatskij, “On a new exactly solvable spatially one-dimensional quantum superradiance ferm-i medium model”, 7 Forum Matematykov Polskich z Uchastiem Matematikov Ukrainskich (12-17/09/2016 Olsztyn Poland), Otdel Polskogo Matematicheskogo Tovarishestva, Olsztyn University Warminsko-Mazurskigo v Olsztyne, Olsztyn Poland, 2016, 40, 38 |
| 41. |
N. N. (JR) Bogolubov and M. Rasulova, “The solution of the BBGKY hierarchy of quantum kinetic equtions with generalized Yukawa potential”, Poster book of abstracts Statphys 26 (Leone, France 20-24 july 2016), Leon University, 2016, 30 |
| 42. |
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 |
| 43. |
Nikolai (Jr) Bogolubov, Mukhayo Rasulova, “The Cauchy Problem for the Hierarchy of Quantum Kinetic Equations for Correlation Matrices with Coulomb Potential”, Appl. Math. Inf. Sci., 10:6 (2016), 2365–2371
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2
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| 44. |
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. |
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| 2015 |
| 45. |
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 |
| 46. |
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
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4
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| 47. |
N. N. Bogolubov, Jr, A. K. Prykarpatski, D. Blackmore, “Maxwell–Lorentz electrodinamics revisited via the Lagrangian formalism and Feynman proper time paradigm”, Mathematics, 3:2 (2015), 190–257
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8
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| 48. |
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 |
| 49. |
N. N. Bogolubov jr, M. Yu. Rasulova, “The Cauchy problem for Hierarchy of Quantum kinetic equation for correlation matrices wuth columb potential”, Book of Abstracts. Conference on Partial Differential Equations COPDE-2015 (München 25–29 March 2015, Technische Universität München), 2015, 7 |
| 50. |
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 |
| 51. |
Bogolubov JR., Quantum Statistical Mechanics, Selected Works of N. N. Bogolubov, Library of Congress Catalog-in Publication Data Bogolubov N . N.autor Quantum statistical Mechanics, Quantum Statistical Mechanics, Quantum Statistical Mechanics, Selected Works of N. N. Bogolubov, WORLD SCIENTIFIC, New JERSEY, LONDON, eds. N.N. Bogolubov, Denis Blackmore ( Department of Mathematics Science)New JerseyInstitute of Technolog, World Scientific NEW JERSEY, LONDON, Singapore; BEIJING SHANGHAI, 5 Toh Tuck Link SINGAPORE 596224, 2015, 311 pp., Title QC174.4B65 2014 UK :57 Shelton Street ,Covent Garden LondonWC2H9HE |
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| 2014 |
| 52. |
D. Blackmore, Y. A. Prykarpatsky, N. N. Bogolubov, Jr., A. K. Prykarpatskiy, “Integrability of and differential-algebraic structures for spatially 1D hydrodynamical syastems of Riemann type”, Chaos Solitons Fractals, 59 (2014), 59–81
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13
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| 53. |
N. N. Bogolubov (Jr.), M. Yu. Rasulova, I. A. Tishaboev, “Quantum dynamics of two-level atoms interacting with an electromagnetic field”, Internat. J. Modern Phys. B, 28:8 (2014), 1450060, 17 pp.
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1
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| 54. |
N. N. Bogolubov (Jr.), A. V. Soldatov, “Polaron Models in External Magnetic Field”, MAP6 International Workshop on Materials Analysis and Processing in Magnetic Fields (MAP6), MAP6 Abstracts of Conference (Bankokku Shinryokan in Okinava, Japan, July 8–12, 2014), National Institute for Material Science, Sengen, Tsukuba 305-0047, Japan, Tokyo, Japan, 2014, 3–5 |
| 55. |
N. N. Bogolubov Jr., M. Yu. Rasulova, I. A. Tishabaev, “Solution of generalized Jaynes-cummings model for many particle systems”, Quantum, Nano, Micro Technologies and Applied Researches, 2nd International Symposium on Quantum, Nano and Micro Technologies (ISQNM 2013) (December 01–02, 2013), Applied Mechanics and Materials, 481, Singapore, 2014, 272–277 |
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| 2013 |
| 56. |
N. Bogolubov, A. Prykarpatsky, “A current algebra approach to the equilibrium classical statistical mechanics and its applications”, Cond. Matt. Phys., 16:2 (2013), 23702, 13 pp., arXiv: 1307.3867
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1
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| 57. |
N. Bogolubov (Jr.), Ya. A. Prykarpatsky, “The Marsden-Weinstein reduction structure of integrable dynamical systems and a generalized exactly solvable quantum superradiance model”, Internat. J. Modern Phys. B, 27:8 (2013), 1350002, 22 pp., arXiv: 1210.1744 |
| 58. |
N. N. Bogolubov Jr., A. V. Soldatov, Infinitely Improvable Upper Bound Estimates for Acoustical Polaron Ground State Energy, 2013, 12 pp., arXiv: 1311.6278 |
| 59. |
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) |
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| 2012 |
| 60. |
A. K. Prykarpatsky, N. N. Bogolubov Jr., “The Maxwell electromagnetic equations and the Lorentz type force derivation-the Feynman approach legacy”, Int. J. Theor. Phys., 51:1 (2012), 237–245
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7
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| 61. |
N. N. Bogolyubov (Jr.), M. Yu. Rasulova, I. A. Tishabaev, “Statistical approach to the Jaynes–Cummings model”, Theoret. and Math. Phys., 171:1 (2012), 523–530 |
| 62. |
A. K. Prykarpatsky, N. N. Bogolubov (Jr.), “The vacuum-field theory electrodynamics and the Feynman approach legacy”, The 4-th International Conference on Statistical Physics: “Modern Trends and Applications” dedicated to the 140th anniversary of the birth of Marian Smoluchowski (July 3–6, 2012 Lviv, Ukraine), Book of Abstracts, Institute for Condensed Matter Physics, 2012, Full text will be published in Cond. Matt. Phys. (proceedings of the conference) |
| 63. |
N. N. Bogolyubov (Jr.), D. P. Sankovich, “Advanced Bogolyubov model of imperfect Bose gas and superfluidity”, Problems of Atomic Science and Technology, 1:77 (2012), 245–247 |
| 64. |
N. N. Bogolyubov (Jr.), A. A. Ghazaryan, “Kinetic equation of dynamical system interacting with phonon field with account of space inhomogenity”, The 4-th International Conference on Statistical Physics: “Modern Trends and Applications” dedicated to the 140th anniversary of the birth of Marian Smoluchowski (July 3–6, Lviv, Ukraine), Book of Abstracts, 2012, 70 |
| 65. |
N. N. Bogolubov, M. Yu. Rasulova, I. A. Tishabaev, “Soliton solution of generalized kinetic equation for many particle Jaynes-Cummings Model”, The 4-th International Conference on Statistical Physics: “Modern Trends and Applications” dedicated to the 140th anniversary of the birth of Marian Smoluchowski (July 3–6, Lviv, Ukraine), Book of Abstracts, 2012, 72 |
| 66. |
N. N. Bogolubov (Jr.), M. Rasulova, I. Tishabaev, “Soliton solution of generalized kinetic equation for many particle Jaynes-Cummings Model”, Proceedings of the 3d International Conference on Photonics (ICP 2012, organised by IEEE Photonics Society, Malaysia Chapter) (6–12 October, PARKROYAL Penang Resort, Malaysia), IEEE, 2012, 42–48 |
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| 2011 |
| 67. |
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 |
| 68. |
N. N. Bogolubov (Jr.), D. P. Sankovich, “Advanced Bogolyubov model of imperfect Bose gas and superfluidity”, 3rd Int. Conf. on Quantum Electrodynamics and Statistical Physics (Kharkov, 29 August–02 September 2011), Book of Abstracts, NSC KIPT, Kharkov, 2011, 152 |
| 69. |
N. N. Bogolubov (Jr.), D. P. Sankovich, “An approximating Hamiltonian method in the theory of imperfect Bose gas”, Phys. Properties of Nanosystems, NATO Science for Peace and Security. Series B. Physics and Biophysics, IX, 1st ed., Springer, 2011, 203–214 |
| 70. |
N. N. Bogolubov, Jr., A. K. Prykarpatsky, “Modern Classical Electrodynamics and Elektromagnetic Radiation-Vacuum Field Theory Aspects”, Electromagnetic Waves, ed. V. Zhurbenko, InTech, Open Access publisher of Scientific Books and Journals, 2011, 25–30 |
| 71. |
M. Yu. Kovalevsky, N. N. Bogolubov, Jr., “Symmetry and classification of equilibrium states of magnets with tensor order parameters”, 4th International Conference on Magneto-Science. Book of Abstracts (Shanghai University, China, October 9–12, 2011), Shanghai University, China, 2011, 11–12 |
| 72. |
Ya. A. Prykarpatsky, N. N. Bogolubov Jr., A. K. Prykarpatsky, V. H. Samoylenko, “On the complete integrability of nonlinear dynamical systems on functional manifolds within the gradient-holonomic approach”, Rep. Math. Phys., 68:3 (2011), 289–318
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| 2010 |
| 73. |
N. N. Bogolubov (jr.), Ya. A. Prykarpatsky, A. A. Ghazaryan, “The Bogolubov representation of the polaron model and its completely integrable RPA-approximation”, Condensed Matter Physics, 13:2 (2010), 23703, 10 pp. |
| 74. |
N. N. Bogolubov Jr., A. K. Prikarpatskiy, “The vacuum structure and special relativity revisited: A field theory no-geometry approach within the Lagrangian and Hamiltonian formalisms”, Bogolyubov Conference on Modern Problems of Mathematical and Theoretical Physics (September 15–18, 2009, Kyiv, Ukraine), Physics of Particles and Nuclei, 41, no. 6, 2010, 913–920 |
| 75. |
N. N. Bogolubov, A. A. Kasarian, “Kinetic equations in polaron theory for the case of spatial inhomogeneity”, Bogolyubov Conference on Modern Problems of Mathematical and Theoretical Physics (September 15–18, 2009, Kyiv, Ukraine), Physics of Particles and Nuclei, 41, no. 7, 2010, 1008–1013 |
| 76. |
N. N. Bogolyubov (Jr.), D. P. Sankovich, “Bogolyubov's approximation for bosons”, Ukr. J. Phys., 55:1 (2010), 104–108 |
| 77. |
N. N. Bogolubov (Jr.), A. K. Prykarpatsky, U. Taneri, “The relativistic electrodynamics least action principles revisited: new charged point particle and hadronic string models analysis”, Internat. J. Theoret. Phys., 49:4 (2010), 798–820
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6
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| 78. |
N. N. Bogolubov, N. N. Bogolubov (Jr.), Introduction to quantum statistical mechanics, Ed. 2, World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2010, xvi+422 pp. |
| 79. |
N. N. Bogolubov, Jr., A. K. Prykarpatsky, “The analysis of Lagrangian and Hamiltonian properties of the classical relativistic electrodynamics models and their quantization”, Found. Phys., 40:5 (2010), 469–493
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7
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| 80. |
N. N. Bogolubov (Jr.), D. P. Sankovich, “Asymptotic exactness of c-number substitution in Bogolyubov's theory of superfluidity”, Cond. Matter Phys., 13:2 (2010), 23002, 6 pp.
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1
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| 2009 |
| 81. |
N. N. Bogolubov (Jr.), A. K. Prykarpatsky, “The Lagrangian and Hamiltonian analysis of some relativistic electrodynamics models and their quantization”, 3rd Conference on Statistical Physics (June 23–25, 2009, Lviv, Ukraine), Condensed Matter Physics, 12, no. 4, 2009, 603–616 |
| 82. |
N. N. Bogolyubov Jr., D. A. Demyanenko, M. Y. Kovalevsky, N. N. Chekanova, “Quasiaverages and classification of equilibrium states of condensed media with spontaneously broken symmetry”, Physics of Atomic Nuclei, 72:5 (2009), 761–767
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3
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| 83. |
N. N. Bogolyubov (Jr.), A. K. Prikarpatskii, U. Taneri, “The vacuum structure, special relativity theory, and quantum mechanics: A return to the field theory approach without geometry”, Theoret. and Math. Phys., 160:2 (2009), 1079–1095 |
| 84. |
N. N. Bogolubov (Jr.), A. K. Prykarpatsky, Taneri U., Y. A. Prykarpatsky, “The electromagnetic Lorentz condition problem and symplectic properties of Maxwell- and Yang-Mills-type dynamical systems”, J. Phys. A, 42:16 (2009), 165401, 16 pp.
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8
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| 85. |
N. N. Bogolyubov, N. N. Bogolyubov (ml.), “Aspekty vtorichnogo kvantovaniya”, Izbrannye universitetskie lektsii, Izd-vo Mosk. un-ta, M., 2009, 654–723 |
| 86. |
N. N. Bogolubov, Jr., A. A. Kazaryan, “Kinetic equation for the dynamic system interacting with the phonon field in the case of space inhomogenity”, 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, 204 |
| 87. |
N. Bogolubov (Jr.), A. Kazaryan, Y. Prykarpatsky, “Operator Analysis of an RPA-Reduced Polaron Model within the Bogolubov representation in Magnetic field at finite temperature, Part 1”, Int. J. Mod. Phys. B, 23:24 (2009), 4843–4853 |
| 88. |
N. N. Bogolubov, Jr., A. K. Prykarpatsky, “The Lagrangian and Hamiltonian Formalizms for the Classical Reliativistic Electrodinamics Models Revisited”, Ukr. J. Phys., 54:8-9, Special issue dedicated to the 100-th anniversary of academician N. N. Bogolyubov (2009), 753–766 |
| 89. |
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 |
| 90. |
N. N. Bogolubov, Jr., A. K. Prykarpatsky, U. Taneri, The relativistic electodynamics least action principles revisited: new charged point particle and hadronic string models analysis. Part 3, Preprint ICTP IC/2009/027, International Centre for Theoretical Physics, Trieste, Italy, 2009 http://users.ictp.it/~pub_off/preprints-sources/2009/IC2009027P.pdf |
| 91. |
A. K. Prykarpatsky, N. N. Bogolubov (Jr.), “The relativistic electrodynamic least action principles revisited: new charged point particle and hadronic string models analysis”, 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, 16 |
| 92. |
N. N. Bogolubov (Jr.), A. K. Prykarpatsky, U. Taneri, “The relativistic electrodynamic least action principles revisited: new charged point particle and hadronic string models analysis”, The International Bogolyubov Conference “Problems of Theoretical and Mathematical Physics” (August 21–27, 2009, Moscow-Dubna, Russia), Book of Abstracts, JINR, Dubna, 2009, 298 |
| 93. |
N. N. Bogolubov (Jr.), D. L. Blackmore, A. K. Prykarpatsky, “On Kinetic Boltzman-Bogolubov Type Equations and Related Hydrodynamic Flows with Dry Viscosity”, The International Bogolyubov Conference “Problems of Theoretical and Mathematical Physics” (August 21–27, 2009, Moscow-Dubna, Russia), Book of Abstracts, JINR, Dubna, 2009, 243 |
| 94. |
N. N. Bogolubov (Jr.), A. A. Kazaryan, “Operator analysis of a reduced polaron model in magnetic field at finite temperature”, The International Bogolyubov Conference “Problems of Theoretical and Mathematical Physics”, Book of Abstracts (August 21–27, 2009, Moscow-Dubna, Russia), JINR, Dubna, 2009, 199 |
| 95. |
A. K. Prykarpatsky, J. Golenia, N. N. Bogolubov, Jr., U. Taneri, “Introductory background to modern quantum mathematics with application to nonlinear dynamical systems”, Further progress in analysis, World Sci. Publ., Hackensack, NJ, 2009, 760–779 |
| 96. |
A. K. Prykarpatsky, N. N. Bogolubov (Jr.), “The characteristic Chern-type classes and integrability of multidimensional differential systems on Riemannian manifolds”, Further progress in analysis, World Sci. Publ., Hackensack, NJ, 2009, 743–759 |
| 97. |
N. N. Bogolyubov, N. N. Bogolyubov ml., “Aspekty vtorichnogo kvantovaniya”, Izbrannye universitetskie lektsii, MGU, M., 2009, 654–723 |
|
| 2008 |
| 98. |
A. K. Prykarpatsky, N. N. Bogolubov (Jr.), J. Golenia, U. Taneri, “Introductive backgrounds to modern quantum mathematics with application to nonlinear dynamical systems”, Internat. J. Theoret. Phys., 47:11 (2008), 2882–2897
|
4
[x]
|
| 99. |
A. K. Prykarpatsky, N. N. Bogolubov (Jr.), J. Golenia, “A symplectic generalization of the Peradzyński helicity theorem and some applications”, Internat. J. Theoret. Phys., 47:7 (2008), 1919–1928
|
2
[x]
|
| 100. |
N. N. Bogoliubov (Jr.), J. Golenia, A. K. Prykarpatsky, U. Taneri, “Quantum mathematics: backgrounds and some applications to nonlinear dynamical systems”, Nelin. koliv., 11:1 (2008), 7–20 |
| 101. |
V. Novikov, S. Kruchinin, N. N. Bogolubov (Jr.), S. Adamenko, “Self organization and nonequilibrium structure in the phase space”, Int. J. Mod. Phys. B, 22:13 (2008), 2025–2045
|
8
[x]
|
| 102. |
N. N. Bogolubov (Jr.), A. K. Prykarpatsky, U. Taneri, The vacuum structure, special relativity theory and quantum mechanics revisitited: a field theory-no-geometry approach, Preprint ICTP, IC/2008/08 (part 1), 2008 |
| 103. |
N. N. Bogolubov (Jr.), A. K. Prykarpatsky, U. Taneri, The vacuum structure, special relativity theory and quantum mechanics revisitited: a field theory-no-geometry approach within the Lagrangian and Hamiltonian formalisms, Preprint ICTP, IC/2008/08 (part 2), 2008 |
|
| 2007 |
| 104. |
N. N. Bogolubov (Jr.), A. K. Prykarpatsky, “The Bogolubov generating functional method in statistical physics and “collective” variables transform within the grand canonical ensemble”, Nonlinear Oscil. (N. Y.), 10:1 (2007), 32–45 |
| 105. |
N. N. Bogolubov (Jr.), A. K. Prykarpatsky, “Generalized de Rham–Hodge complexes, the related characteristic Chern classes and some applications to integrable multidimensional differential systems on Riemannian manifolds”, Ukrainian Math. J., 59:3 (2007), 361–378 |
| 106. |
N. N. Bogolubov (Jr.), D. L. Blackmore, V. Hr. Samoylenko, A. K. Prykarpatsky, “On kinetic Boltzmann equations and related hydrodynamic flows with dry viscosity”, Opuscula Math., 27:2 (2007), 187–195 |
| 107. |
N. N. Bogolyubov, N. N. Bogolyubov (ml.), Collection of scientific works. Statistical mechanics, v. VII, Classics of Science, An introduction to quantum statistical mechanics. Aspects of polaron theory, “Nauka”, Moscow, 2007, 663 pp. |
| 108. |
N. N. Bogolubov, Jr., A. K. Prykarpatsky, A sympletic generalization of Perandzynski helicity teorem and some applications, Preprint ICTP TRIESTE IC/2007/118, ICTP Trieste International Center, TRIESTE-MIRAMARE Italy, 2007, 16 pp. |
| 109. |
N. N. Bogolubov, Jr., A. K. Prykarpatsky, Generalized de RHAM-Hodge complexes,the related characteristic Chern classes and some applications to integrable multi-dimensional differential systems on Riemannian manifolds, Preprint ICTP Trieste IC/2006/107, ICTP Trieste International Center, TRIESTE-MIRAMARE Italy, 2007, 17 pp. |
| 110. |
N. N. Bogolubov, Jr., A. K. Prykarpatsky, “The analytic aspects of the Bogoliubov generaletiv functional equations within the Bogoliubov canonical transformation method”, Old and New Concepts of Physics, 4:3 (2007), 361–380 |
| 111. |
N. N. Bogolubov, Jr., A. S. Shumovsky, “To What Extent the Superfluid 4He is Squeezed”, Old and New Concepts of Physics, 4:3 (2007), 381–387 |
| 112. |
N. N. Bogolyubov, N. N. Bogolyubov ml., “Aspekty teorii polyarona”: N. N. Bogolyubov, Sobranie nauchnykh trudov, v. 7, Nauka, M., 2007, 375–559 |
| 113. |
N. N. Bogolyubov, N. N. Bogolyubov ml., “Kineticheskoe uravnenie dlya dinamicheskoi sistemy vzaimodeistvuyuschei s fononnym polem. Dopolnenie 1”: N. N. Bogolyubov, Sobranie nauchnykh trudov, v. 7, Nauka, M., 2007, 560–610 |
| 114. |
N. N. Bogolyubov ml., V. N. Plechko, “Teoriya vozmuschenii v modeli polyarona pri konechnoi temperature. Dopolnenie 1”: N. N. Bogolyubov, Sobranie nauchnykh trudov, v. 7, Nauka, M., 2007, 611–625 |
|
| 2006 |
| 115. |
N. N. Bogolubov, Jr., A. K. Prykarpatsky, D. L. Blackmore, On Benney type hydrodynamical systems and their Boltzmann-Vlasov equations kinetic models, Preprint IC/2006/006, ICTP Trieste International Center, TRIESTE-MIRAMARE Italy, 2006, 20 pp. |
| 116. |
N. N. Bogolyubov, N. N. Bogolyubov ml., “Obobschennoe kineticheskoe uravnenie dlya dinamicheskoi sistemy vzaimodeistvuyuschei s fononnym polem”: N. N. Bogolyubov, Sobranie nauchnykh trudov, v. 5, Nauka, M., 2006, 690–708 |
| 117. |
N. N. Bogolyubov ml., A. S. Shumovskii, B. I. Sadovnikov, “Matematicheskie metody statisticheskoi mekhaniki modelnykh sistem. Prilozheniya”: N. N. Bogolyubov, Sobranie nauchnykh trudov, v. 6, Nauka, M., 2006, 441–443 |
|
| 2005 |
| 118. |
N. N. Bogolyubov (Jr.), M. Yu. Kovalevskiĭ, “Quasi-averaging and classification of equilibrium states of magnetic condensed media”, Ukraïn. Fīz. Zh., 50:8A (2005), A104–A112 |
| 119. |
N. N. Bogolubov, Jr., Yu. A. Prykarpatsky, A. K. Prykarpatsky, A. M. Samoilenko, “Generalization De Rham-Hodge theory of multidimensional Delsar transmutations and its application for nonlinear dynamical systems”, Physics of Particles and Nuclei JINR, 36 (2005), 216–235 |
| 120. |
N. N. Bogolyubov, N. N. Bogolyubov ml., Vvedenie v kvantovuyu statesticheskuyu mekhaniku. Aspekty teorii polyarona, Nauka, M., 2005 |
|
| 2002 |
| 121. |
A. K. Prykarpatsky, U. Taneri, N. N. Bogolyubov (Jr.), Quantum field theory with application to quantum nonlinear optics, World Sci. Publ., River Edge, NJ, 2002, x+122 pp. |
|
| 2000 |
| 122. |
N. N. Bogolubov, N. N. Bogolubov (Jr.), Polaron theory. Model problems, Gordon and Breach Sci. Publ., Amsterdam, 2000, viii+253 pp. |
| 123. |
N. N. Bogolyubov (Jr.), E. N. Bogolyubova, “An exactly solvable model with positive four-fermion interaction”, Ukraïn. Fīz. Zh., 45:4-5 (2000), 439–445 |
| 124. |
N. N. Bogolyubov (Jr.), “The Hartree–Fock–Bogolyubov Approximation in the Models with Four-Fermion Interaction”, Proc. Steklov Inst. Math., 228 (2000), 252–273 |
|
| 1999 |
| 125. |
A. Prykarpatsky, D. Blackmore, N. N. Bogoliubov (Jr.), “Hamiltonian structure of Benney type hydrodynamic and Boltzmann–Vlasov kinetic equations on an axis and some applications to manufacturing science”, Open Syst. Inf. Dyn., 6:4 (1999), 335–373
|
8
[x]
|
| 126. |
A. K. Prykarpatsky, D. Blackmore, N. N. Bogoliubov (Jr.), V. Hr. Samoilenko, “On the Hamiltonian structure of Benney type hydrodynamic and Boltzmann–Vlasov axial kinetic equations”, Nelin. koliv., 2:1 (1999), 59–82 |
| 127. |
N. N. Bogoliubov (Jr.), A. K. Prykarpatsky, D. Blackmore, “Swept volume dynamical systems and their kinetic models”, Nelin. koliv., 2:3 (1999), 291–305 |
| 128. |
N.N. Bogolubov Jr, A.K. Prikarpatsky, D. Blackmore, “SWEPT VOLUME DINAMICAL SYSTEMS AND THEIR KINETIC MODELS”, Nonlinear Oscillation (Nelineni kolivanni Ukrainskii zhurnal), 2:No 3, UDC 517.9 (1999), 291-305, ISSN 1562-3076 |
|
| 1998 |
| 129. |
N. N. Bogolyubov (Jr.), “Second order approximation to the problem of optical polaron in the strong coupling case”, Ukraïn. Fīz. Zh., 43:6-7 (1998), 675–679 |
|
| 1997 |
| 130. |
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
|
4
[x]
|
|
| 1996 |
| 131. |
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
|
3
[x]
|
|
| 1994 |
| 132. |
N. N. Bogolubov, N. N. Bogolubov (Jr.), An introduction to quantum statistical mechanics, Gordon and Breach Sci. Publ., Yverdon, 1994, xviii+543 pp. |
| 133. |
N. N. Bogolyubov (Jr.), D. P. Sankovich, “N. N. Bogolyubov and statistical mechanics”, Russian Math. Surveys, 49:5 (1994), 19–49 |
|
| 1993 |
| 134. |
N. N. Bogolubov, Jr., Second order approximation for optical polaron, Preprint IC/93/372, International Atomic Energy Agency UNES, TRIESTE-MIRAMARE Italy, 1993, 17 pp. |
| 135. |
N. N. Bogolyubov (Jr.), D. P. Sankovich, “Nikolaĭ Nikolaevich Bogolyubov. Survey of scientific work”, Phys. Particles Nuclei, 24:5 (1993), 517–544 |
|
| 1992 |
| 136. |
Ukrainian Math. J., 44:7 (1992), 824–831 |
| 137. |
N. N. Bogolubov (Jr.), V. G. Samoĭlenko, A. K. Prikarpatskiĭ, “The Hamiltonian structure of Benney-type hydrodynamical systems and associated Boltzmann–Vlasov equations”, Ukraïn. Fīz. Zh., 37:1 (1992), 147–156 |
| 138. |
N. N. Bogolubov (Jr.), M. Corgini, D. P. Sankovich, “Model of the lattice boson gas: $\rho$-condensation”, Modern Phys. Lett. B, 6:4 (1992), 215–220
|
3
[x]
|
| 139. |
Yu. O. Mitropol's'kiĭ, N. N. Bogolubov (Jr.), A. M. Samoĭlenko, Ī. V. Vakarchuk, Yu. K. Rudavskiĭ, A. K. Prikarpatskiĭ, “This issue is dedicated to the sacred memory of N. N. Bogolyubov”, Ukrainian Math. J., 44:9 (1992), 1055–1056 |
| 140. |
V. S. Vladimirov, V. A. Il'in, S. M. Nikol'skii, A. A. Slavnov, N. N. Bogolyubov (Jr.), D. N. Zubarev, V. M. Millionshchikov, “Nikolaǐ Nikolaevich Bogolyubov”, Differ. Equ., 28:6 (1992), 735–736 |
|
| 1991 |
| 141. |
N. N. Bogolyubov (Jr.), A. K. Prikarpatskiĭ, V. G. Samoĭlenko, The Hamiltonian structure of hydrodynamical equations of Benney type and associated Boltzmann–Vlasov equations on the axis, Preprint no. 25, Akad. Nauk Ukrain. SSR Inst. Mat., 1991, 43 pp. |
| 142. |
N. N. Bogolubov (Jr.), D. P. Sankovich, “Upper bound on the two-point correlation function of a system of coupled anharmonic oscillators”, Modern Phys. Lett. B, 5:1 (1991), 51–56
|
2
[x]
|
|
| 1990 |
| 143. |
N. N. Bogolyubov (Jr.), A. M. Kurbatov, D. P. Sankovich, “Toward a theory of Bose–Einstein condensation”, Selected topics in statistical mechanics (Dubna,1989), World Sci. Publ., Teaneck, NJ, 1990, 36–41 |
| 144. |
N. N. Bogolyubov (Jr.), A. K. Prikarpatskiĭ, “A bilocal periodic problem for Sturm–Liouville and Dirac operators, and some applications in the theory of nonlinear dynamical systems. I”, Ukrainian Math. J., 42:6 (1990), 702–707 |
| 145. |
N. N. Bogolubov, Jr., Some remarks on polaron theory, Preprint E2-90-535, Joint Institute Nuclear Research, Dubna, 1990, 15 pp. |
|
| 1989 |
| 146. |
N. N. Bogolyubov (ml.), V. G. Samoilenko, U. S. Suyarov, Klassicheskaya i kvantovaya polnaya inegriruemost modeli tipa Shredingera, Preprint № 24, In-t matem. AN USSR, Kiev, 1989, 23 pp. |
| 147. |
N. N. Bogolyubov (ml.), B. I. Sadovnikov, A. S. Shumovskii, Matematicheskie metody statisticheskoi mekhaniki modelnykh sistem, Nauka, M., 1989, 295 pp. |
| 148. |
N. N. Bogolyubov (Jr.), M. Yu. Kovalevskiĭ, A. M. Kurbatov, S. V. Peletminskiĭ, A. N. Tarasov, “On the microscopic theory of superfluid liquids”, Soviet Phys. Uspekhi, 32:12 (1989), 1041–1059 |
| 149. |
N. N. Bogolyubov (Jr.), D. P. Sankovich, “Gaussian domination: quantum nonlinear oscillator”, Phys. Lett. A, 137:4–5 (1989), 179–182
|
7
[x]
|
|
| 1992 |
| 150. |
N. N. Bogolyubov (Jr.), A. N. Kireev, A. M. Kurbatov, D. P. Sankovich, “Some problems in polaron theory”, Proc. Steklov Inst. Math., 191 (1992), 15–33 |
| 151. |
N. N. Bogolyubov (Jr.), A. S. Shumovskii, “Collective quantum effects in the problem of interaction of electromagnetic radiation with a medium”, Proc. Steklov Inst. Math., 191 (1992), 87–97 |
|
| 1989 |
| 152. |
Statisticheskaya mekhanika i teoriya dinamicheskikh sistem, K 80-letiyu so dnya rozhdeniya akademika Nikolaya Nikolaevicha Bogolyubova, Tr. MIAN SSSR, 191, ed. N. N. Bogolyubov (ml.), E. F. Mischenko, Nauka, M., 1989, 224 pp. |
|
| 1988 |
| 153. |
N. N. Bogolyubov (Jr.), A. M. Kurbatov, V. N. Neskoromnyĭ, “The weak Van Hove coupling limit in the theory of open systems that interact with a boson heat bath”, Physics of multiparticle systems, 14, Naukova Dumka, Kiev, 1988, 1–5 |
| 154. |
N. N. Bogolubov, N. N. Bogolubov (Jr.), Some aspects of polaron theory, World Sci. Lecture Notes Phys., 4, World Sci. Publ., Singapore, 1988, viii+122 pp.
|
6
[x]
|
| 155. |
N. N. Bogolyubov (Jr.), A. K. Prikarpatskii, “Quantum current lie algebra as the universal algebraic structure of the symmetries of completely integrable nonlinear dynamical systems of theoretical and mathematical physics”, Theoret. and Math. Phys., 75:1 (1988), 329–339 |
|
| 1987 |
| 156. |
N. N. Bogolubov (Jr.), A. R. Kazaryan, A. M. Kurbatov, V. N. Neskoromnyĭ, “The nonequilibrium description of superradiant state on the basis of exact evolution equation”, Internat. J. Modern Phys. B, 1:1 (1987), 69–88 |
| 157. |
N. N. Bogolyubov (ml.), A. S. Shumovskii, Sverkhizluchenie, Lektsii dlya molodykh uchenykh, 38, OIYaI, Dubna, 1987, 88 pp. |
| 158. |
Yu. A. Mitropolskii, N. N. Bogolyubov (ml.), A. K. Prikarpatskii, V. G. Samoilenko, Integriruemye dinamicheskie sistemy: spektralnye i differentsialno-geometricheskie aspekty, Naukova dumka, Kiev, 1987, 296 pp. |
| 159. |
A. A. Bakasov, N. N. Bogolyubov (Jr.), A. S. Shumovskii, V. I. Yukalov, “Kinetics of two-photon superradiance in the case of damped polarization”, Theoret. and Math. Phys., 72:3 (1987), 987–998 |
| 160. |
N. N. Bogolyubov (Jr.), E. K. Bashkirov, Fam Le Kien, A. S. Shumovskii, “Dynamics of superradiant proces | |
