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Bogolyubov (Jr.) Nikolai Nikolaevich
(recent publications)
| by years | scientific publications | by types |


1. N. N. Bogolyubov (Jr.), A. V. Soldatov, “Algebraic aspects of the quantum multi-level systems dynamics in the projection operator method”, TMF (to appear)  mathnet
2. N.N. Bogolyubov (ml). A.V. Soldatov, “Fluorestsentsiya v kvantovoi sisteme s narushennoi simmetriei”, VMU Ser.3, Fizika, Astronomiya, 1–23 (to appear); N.N. Bogolubov, Jr., A.V. Soldatov, “Fluorescence in a quantum system with violated symmetry”, Moscow University Physics Bulletin, 2017, 1-23 (to appear)
3. N. N. Bogolyubov (Jr.), A. V. Glushchenko, M. Yu. Kovalevsky, “Quasiaverage and degenerate quantum equilibrium states of magnetic systems with SU (3) symmetry of the exchange interaction”, TMF (to appear)  mathnet

   2018
4. N.N. Bogolubov Jr, A.V. Soldatov, “ON one possible generalization of the regression theorem”, Physical of Elementary Particles and Atomic Nuclei PEPAN Lett., v 15, v 15:N 2 (2018), 1-10 (to appear)

   2017
5. 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  mathnet  crossref  isi  scopus
6. 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 (to appear)
7. N.N. Bogolubov Jr,M.Y. Rasulova, U. Avazov, “The Solution of the Hierarchy of Quantum kinetic Equations for Correlation Matrices with Generalized Yukawa Potential”, Applied Mathematics&Information Sciences An International Journal, 11:6 (2017), 1-6 (to appear) http://dx.org/10.18576/amis/correl.matris2017-1(1)
8. N.N. Bogolyubov (ml), A.V. Soldatov, “Fluorestsentsiya v kvantovoi sisteme s narushennoi simmetriei”, VMU Fizika Astronomiya Ser. 3, 3 (2017), 1-23 (to appear)

   2016
9. 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  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus (cited: 1)
10. 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
11. 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  mathnet  crossref  isi (cited: 2)  elib  scopus (cited: 2)
12. 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  elib  scopus
13. N. N. Bogolyubov Jr., A. V. Soldatov, “On upper bounds in the Fröhlich polaron model”, Proc. Steklov Inst. Math., 294 (2016), 276–282  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
14. 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  mathnet
15. 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
16. 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
17. N. N. Bogolyubov (Jr.), A. V. Soldatov, “On Improvable Bounds for Polaron Systems in an External Potential”, Moscow University Physics Bulletin, 71:4 (2016), 356–362  mathnet  crossref  isi  elib  elib  scopus
18. 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  mathnet  crossref  mathscinet  elib  scopus
19. 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
20. 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
21. 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
22. 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  mathnet  crossref  mathscinet  zmath  zmath  isi (cited: 2)
23. 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
24. 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
25. 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
26. 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

   2014
27. 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  mathnet  crossref  mathscinet (cited: 1)  zmath  isi (cited: 3)  elib (cited: 1)  scopus (cited: 3)
28. 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.  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
29. 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
30. 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  crossref  isi  elib  scopus

   2013
31. 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  mathnet  crossref  isi (cited: 1)  scopus
32. 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  mathnet  crossref  mathscinet  zmath  isi  scopus
33. N. N. Bogolubov Jr., A. V. Soldatov, Infinitely Improvable Upper Bound Estimates for Acoustical Polaron Ground State Energy, 2013 , 12 pp., arXiv: 1311.6278
34. 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)

   2012
35. 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  mathnet  crossref  zmath  adsnasa  isi (cited: 6)  elib  scopus (cited: 4)
36. 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  mathnet  crossref  crossref  mathscinet (cited: 5)  mathscinet (cited: 5)  adsnasa  isi (cited: 2)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)
37. 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)
38. 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  mathnet  isi  scopus
39. 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
40. 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
41. 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

   2011
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
43. 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
44. 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  crossref  adsnasa  isi
45. 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
46. 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
47. 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  crossref  mathscinet (cited: 1)  zmath  adsnasa  isi (cited: 1)  elib (cited: 1)  scopus (cited: 1)

   2010
48. 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.  crossref  isi  scopus
49. 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  crossref  adsnasa  isi  scopus
50. 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  crossref  adsnasa  isi  scopus
51. N. N. Bogolyubov (Jr.), D. P. Sankovich, “Bogolyubov's approximation for bosons”, Ukr. J. Phys., 55:1 (2010), 104–108  elib (cited: 2)  scopus (cited: 3)
52. 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  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  elib (cited: 3)  scopus (cited: 6)
53. 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.  mathscinet (cited: 1)  zmath
54. 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  crossref  mathscinet  zmath  adsnasa  isi (cited: 6)  elib (cited: 2)  scopus (cited: 6)
55. 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.  crossref  isi (cited: 1)  elib (cited: 1)  scopus (cited: 1)


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