×

zbMATH — the first resource for mathematics

Bogolyubov, Nikolaĭ Nikolaevich jun.

Compute Distance To:
Author ID: bogolyubov.nikolai-n-jun Recent zbMATH articles by "Bogolyubov, Nikolaĭ Nikolaevich jun."
Published as: Bogolyubov, N. N. jun.; Bogolubov, N. N. jun.; Bogolyubov, N. N.; Bogolubov, Nikolai N. jun.; Bogoliubov, N.; Bogoliubov, Nikolai N. jun.; Bogolyubov, Mykola jun.; Bogolyubov, M. M. jun.; Bogolubov, Nikolai N.; Bogolyubov, Nikolai N. jun.; Bogolubov, Nikolai jun.; Bogoliubov, N. N. jun.; Bogolyubov(Jr), N. N.; Bogoliubov, N. N.; Bogoljubov, N. N.; Bogolubov, N. N.; Bogolyubov, M.
External Links: Wikidata · ResearchGate · Math-Net.Ru · GND · IdRef
Documents Indexed: 91 Publications since 1961, including 14 Books
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

32 Publications have been cited 139 times in 116 Documents Cited by Year
Introduction to quantum statistical mechanics. (Vvedenie v kvantovuyu statisticheskuyu mekhaniku). Zbl 0576.60095
Bogolyubov, N. N.; Bogolyubov, N. N. jun.
27
1984
An introduction to quantum statistical mechanics. Transl. from the Russian by A. N. Ermilov. Zbl 0997.82502
Bogolubov, N. N.; Bogolubov, N. N. jun.
24
1994
An introduction to quantum statistical mechanics. 2nd ed. Zbl 1179.82001
Bogolubov, N. N.; Bogolubov, N. N. jun.
15
2010
On the complete integrability of nonlinear dynamical systems on functional manifolds within the gradient-holonomic approach. Zbl 1261.37029
Prykarpatsky, Yarema A.; Bogolubov, Nikolai N. jun.; Prykarpatsky, Anatoliy K.; Samoylenko, Valeriy H.
6
2011
An inverse periodic problem for discrete approximation of the nonlinear Schrödinger equation. Zbl 0588.35026
Bogolyubov, N. N. jun.; Prikarpatskij, A. K.
6
1982
Discrete periodic problem for the modified nonlinear Korteweg-de Vries equation. Zbl 0549.34025
Bogolyubov, N. N. jun.; Prikarpatskij, A. K.; Samojlenko, V. G.
5
1982
The approximating Hamiltonian method in statistical physics. (Metod approksimiruyushchego gamil’toniana v statisticheskoj fizike). Zbl 0469.70021
Bogolyubov, N. N. jun.; Brankov, J. G.; Zagrebnov, V. A.; Kurbatov, A. M.; Tonchev, N. S.
5
1981
Integrability of and differential-algebraic structures for spatially 1D hydrodynamical systems of Riemann type. Zbl 1348.37101
Blackmore, Denis; Prykarpatsky, Yarema A.; Bogolubov, Nikolai N. jun.; Prykarpatski, Anatolij K.
5
2014
The vacuum structure, special relativity theory, and quantum mechanics: a return to the field theory approach without geometry. Zbl 1176.81072
Bogolubov, N. N.; Prykarpatsky, A. K.; Taneri, U.
4
2009
Hamiltonian structure of Benney type hydrodynamic and Boltzmann-Vlasov kinetic equations on an axis and some applications to manufacturing science. Zbl 1014.37042
Prykarpatsky, A.; Blackmore, D.; Bogoliubov, N. N. jun.
3
1999
N. N. Bogolyubov and statistical mechanics. Zbl 0852.60103
Bogolyubov, N. N. jun.; Sankovich, D. P.
3
1994
Complete integrability of the nonlinear Itô and Benney-Kaup systems: Gradient algorithm and Lax representation. Zbl 0623.35061
Bogolyubov, N. N. jun.; Prikarpatskij, A. K.
3
1986
Aspects of polaron theory. Equilibrium and nonequilibrium problems. Zbl 1172.82002
Bogolubov, N. N.; Bogolubov, N. N. jun.
3
2008
Quantum field theory with application to quantum nonlinear optics. Zbl 1022.81068
Prykarpatsky, Anatoliy K.; Taneri, Ufuk; Bogolyubov, Nikolai N. jun.
3
2002
The analysis of Lagrangian and Hamiltonian properties of the classical relativistic electrodynamics models and their quantization. Zbl 1190.81143
Bogolubov, Nikolai N. jun.; Prykarpatsky, Anatoliy K.
3
2010
The electromagnetic Lorentz condition problem and symplectic properties of Maxwell- and Yang-Mills-type dynamical systems. Zbl 1162.70024
Bogolubov, N. N. jun.; Prykarpatsky, A. K.; Taneri, U.; Prykarpatsky, Y. A.
3
2009
Mathematical methods of the statistical mechanics of model systems. (Математические методы статистической механики модельных систем.) Zbl 0725.60119
Bogolyubov, N. N. jun.; Sadovnikov, B. I.; Shumovskiĭ, A. S.
2
1989
A new technique for the construction of effective Hamiltonians. Zbl 0969.81526
Seke, J.; Soldatov, A. V.; Bogolubov, N. N. jun.
2
1997
On analyticity properties of the configurational integral in statistical mechanics. Zbl 0177.57303
Bogolubov, N. N. jun.
2
1969
Hartree-Fock-Bogolubov approximation in the models with general four-fermion interaction. Zbl 1229.82112
Bogolubov, N. N. jun.; Soldatov, A. V.
2
1996
The relativistic electrodynamics least action principles revisited: new charged point particle and hadronic string models analysis. Zbl 1190.81142
Bogolubov, Nikolai N. jun.; Prykarpatsky, A. K.; Taneri, U.
2
2010
Discrete periodic problem for modified nonlinear Korteweg-de Vries equation. Zbl 0494.34011
Bogolyubov, N. N. jun.; Prikarpatskij, A. K.; Samojlenko, V. G.
1
1982
Discrete periodic problem for the modified nonlinear Korteweg-de Vries equation. Zbl 0515.35076
Bogolyubov, N. N. jun.; Prikarpatskij, A. K.; Samojlenko, V. G.
1
1981
Quantum mathematics: backgrounds and some applications to nonlinear dynamical systems. Zbl 1276.81114
Bogolyubov, N. N. jun.; Golenia, J.; Prykarpatsky, A. K.; Taneri, U.
1
2008
The Maxwell electromagnetic equations and the Lorentz type force derivation-the Feynman approach legacy. Zbl 1246.81058
Prykarpatsky, Anatoliy K.; Bogolubov, Nikolai N. jun.
1
2012
Statistical approach to the Jaynes-Cummings model. Zbl 1274.81294
Bogolyubov, N. N. jun.; Rasulova, M. Yu.; Tishabaev, I. A.
1
2012
Unified model of superconductivity of singlet-pair Cu oxide superconductor and triplet-pair Ru oxide superconductor. Zbl 1071.82587
Sugahara, M.; Bogolyubov, N. N. jun.
1
2004
Nonlinear model of Schrödinger type: conservation laws, Hamiltonian structure, and complete integrability. Zbl 0618.35113
Bogolyubov, N. N. jun.; Prikarpatskij, A. K.; Kurbatov, A. M.; Samojlenko, V. G.
1
1985
Integrable dynamical systems: spectral and differential-geometric aspects. (Integriruemye dinamicheskie sistemy: spektral’nye i differentsial’no-geometricheskie aspekty). Zbl 0623.35007
Mitropol’skij, Yu. A.; Bogolyubov, N. N. jun.; Prikarpatskij, A. K.; Samojlenko, V. G.
1
1987
Correlation functions as nests of self-avoiding paths. Zbl 1416.05283
Bogoliubov, N.; Malyshev, C.
1
2019
Field-theoretic foundation of no-field quantum Hall effect. Zbl 1081.81579
Sugahara, Masanori; Bogolubov, Nikolai N. jun.
1
2002
Introductive backgrounds to modern quantum mathematics with application to nonlinear dynamical systems. Zbl 1160.81312
Prykarpatsky, Anatoliy K.; Bogoliubov, Nikolai N. jun.; Golenia, Jolanta; Taneri, Ufuk
1
2008
Correlation functions as nests of self-avoiding paths. Zbl 1416.05283
Bogoliubov, N.; Malyshev, C.
1
2019
Integrability of and differential-algebraic structures for spatially 1D hydrodynamical systems of Riemann type. Zbl 1348.37101
Blackmore, Denis; Prykarpatsky, Yarema A.; Bogolubov, Nikolai N. jun.; Prykarpatski, Anatolij K.
5
2014
The Maxwell electromagnetic equations and the Lorentz type force derivation-the Feynman approach legacy. Zbl 1246.81058
Prykarpatsky, Anatoliy K.; Bogolubov, Nikolai N. jun.
1
2012
Statistical approach to the Jaynes-Cummings model. Zbl 1274.81294
Bogolyubov, N. N. jun.; Rasulova, M. Yu.; Tishabaev, I. A.
1
2012
On the complete integrability of nonlinear dynamical systems on functional manifolds within the gradient-holonomic approach. Zbl 1261.37029
Prykarpatsky, Yarema A.; Bogolubov, Nikolai N. jun.; Prykarpatsky, Anatoliy K.; Samoylenko, Valeriy H.
6
2011
An introduction to quantum statistical mechanics. 2nd ed. Zbl 1179.82001
Bogolubov, N. N.; Bogolubov, N. N. jun.
15
2010
The analysis of Lagrangian and Hamiltonian properties of the classical relativistic electrodynamics models and their quantization. Zbl 1190.81143
Bogolubov, Nikolai N. jun.; Prykarpatsky, Anatoliy K.
3
2010
The relativistic electrodynamics least action principles revisited: new charged point particle and hadronic string models analysis. Zbl 1190.81142
Bogolubov, Nikolai N. jun.; Prykarpatsky, A. K.; Taneri, U.
2
2010
The vacuum structure, special relativity theory, and quantum mechanics: a return to the field theory approach without geometry. Zbl 1176.81072
Bogolubov, N. N.; Prykarpatsky, A. K.; Taneri, U.
4
2009
The electromagnetic Lorentz condition problem and symplectic properties of Maxwell- and Yang-Mills-type dynamical systems. Zbl 1162.70024
Bogolubov, N. N. jun.; Prykarpatsky, A. K.; Taneri, U.; Prykarpatsky, Y. A.
3
2009
Aspects of polaron theory. Equilibrium and nonequilibrium problems. Zbl 1172.82002
Bogolubov, N. N.; Bogolubov, N. N. jun.
3
2008
Quantum mathematics: backgrounds and some applications to nonlinear dynamical systems. Zbl 1276.81114
Bogolyubov, N. N. jun.; Golenia, J.; Prykarpatsky, A. K.; Taneri, U.
1
2008
Introductive backgrounds to modern quantum mathematics with application to nonlinear dynamical systems. Zbl 1160.81312
Prykarpatsky, Anatoliy K.; Bogoliubov, Nikolai N. jun.; Golenia, Jolanta; Taneri, Ufuk
1
2008
Unified model of superconductivity of singlet-pair Cu oxide superconductor and triplet-pair Ru oxide superconductor. Zbl 1071.82587
Sugahara, M.; Bogolyubov, N. N. jun.
1
2004
Quantum field theory with application to quantum nonlinear optics. Zbl 1022.81068
Prykarpatsky, Anatoliy K.; Taneri, Ufuk; Bogolyubov, Nikolai N. jun.
3
2002
Field-theoretic foundation of no-field quantum Hall effect. Zbl 1081.81579
Sugahara, Masanori; Bogolubov, Nikolai N. jun.
1
2002
Hamiltonian structure of Benney type hydrodynamic and Boltzmann-Vlasov kinetic equations on an axis and some applications to manufacturing science. Zbl 1014.37042
Prykarpatsky, A.; Blackmore, D.; Bogoliubov, N. N. jun.
3
1999
A new technique for the construction of effective Hamiltonians. Zbl 0969.81526
Seke, J.; Soldatov, A. V.; Bogolubov, N. N. jun.
2
1997
Hartree-Fock-Bogolubov approximation in the models with general four-fermion interaction. Zbl 1229.82112
Bogolubov, N. N. jun.; Soldatov, A. V.
2
1996
An introduction to quantum statistical mechanics. Transl. from the Russian by A. N. Ermilov. Zbl 0997.82502
Bogolubov, N. N.; Bogolubov, N. N. jun.
24
1994
N. N. Bogolyubov and statistical mechanics. Zbl 0852.60103
Bogolyubov, N. N. jun.; Sankovich, D. P.
3
1994
Mathematical methods of the statistical mechanics of model systems. (Математические методы статистической механики модельных систем.) Zbl 0725.60119
Bogolyubov, N. N. jun.; Sadovnikov, B. I.; Shumovskiĭ, A. S.
2
1989
Integrable dynamical systems: spectral and differential-geometric aspects. (Integriruemye dinamicheskie sistemy: spektral’nye i differentsial’no-geometricheskie aspekty). Zbl 0623.35007
Mitropol’skij, Yu. A.; Bogolyubov, N. N. jun.; Prikarpatskij, A. K.; Samojlenko, V. G.
1
1987
Complete integrability of the nonlinear Itô and Benney-Kaup systems: Gradient algorithm and Lax representation. Zbl 0623.35061
Bogolyubov, N. N. jun.; Prikarpatskij, A. K.
3
1986
Nonlinear model of Schrödinger type: conservation laws, Hamiltonian structure, and complete integrability. Zbl 0618.35113
Bogolyubov, N. N. jun.; Prikarpatskij, A. K.; Kurbatov, A. M.; Samojlenko, V. G.
1
1985
Introduction to quantum statistical mechanics. (Vvedenie v kvantovuyu statisticheskuyu mekhaniku). Zbl 0576.60095
Bogolyubov, N. N.; Bogolyubov, N. N. jun.
27
1984
An inverse periodic problem for discrete approximation of the nonlinear Schrödinger equation. Zbl 0588.35026
Bogolyubov, N. N. jun.; Prikarpatskij, A. K.
6
1982
Discrete periodic problem for the modified nonlinear Korteweg-de Vries equation. Zbl 0549.34025
Bogolyubov, N. N. jun.; Prikarpatskij, A. K.; Samojlenko, V. G.
5
1982
Discrete periodic problem for modified nonlinear Korteweg-de Vries equation. Zbl 0494.34011
Bogolyubov, N. N. jun.; Prikarpatskij, A. K.; Samojlenko, V. G.
1
1982
The approximating Hamiltonian method in statistical physics. (Metod approksimiruyushchego gamil’toniana v statisticheskoj fizike). Zbl 0469.70021
Bogolyubov, N. N. jun.; Brankov, J. G.; Zagrebnov, V. A.; Kurbatov, A. M.; Tonchev, N. S.
5
1981
Discrete periodic problem for the modified nonlinear Korteweg-de Vries equation. Zbl 0515.35076
Bogolyubov, N. N. jun.; Prikarpatskij, A. K.; Samojlenko, V. G.
1
1981
On analyticity properties of the configurational integral in statistical mechanics. Zbl 0177.57303
Bogolubov, N. N. jun.
2
1969
all top 5

Cited by 143 Authors

21 Prykarpatsky, Anatoliy Karolevych
15 Bogolyubov, Nikolaĭ Nikolaevich jun.
6 Blackmore, Denis L.
6 Orlov, Yurii N.
5 Geng, Xianguo
5 Kovalevskii, M. Yu.
5 Smolyanov, Oleg Georgievich
4 Borisov, Leonid Andreevich
4 Kozlov, Valeriĭ Vasil’evich
4 Taneri, Ufuk
3 Bru, Jean-Bernard
3 Gong, Dong
3 Mamontov, Eugen
3 Trushechkin, Anton Sergeevich
3 Willander, Magnus
2 Artemovych, Orest Dem”yanovych
2 Bobrov, V. B.
2 Fil’, B. N.
2 Golenia, Jolanta
2 Hentosh, Oksana Ye.
2 Isaev, A. A.
2 Kucherenko, Valeri V.
2 Kuzemsky, Alexander Leonidovich
2 Maslov, Viktor Pavlovich
2 Peletminskij, S. V.
2 Prykarpatsky, Yarema Anatoliyovych
2 Rasulova, M. Yu.
2 Samoĭlenko, Valeriĭ Grygorovych
2 Sankovich, D. P.
2 Seke, Josip
2 Trigger, Sergej A.
2 Zagrebnov, Valentin A.
2 Zeng, Xin
1 Accardi, Luigi
1 Antoniou, Ioannis E.
1 Aptekarev, Alexander Ivanovich
1 Babadjanova, Aygul Kamildjanovna
1
1 Bellomo, Nicola
1 Bernatska, Julia
1 Bogolubova, E. N.
1 Bratsos, Athanassios G.
1 Chiragwandi, Z.
1 Cieśliński, Jan L.
1 de Gosson, Maurice Alexis
1 de Mello, E. V. L.
1 Doktorov, Alexander B.
1 Dzyubenko, A. B.
1 Ehrhardt, Matthias
1 Famelis, Ioannis Th.
1 Fichtner, Karl-Heinz
1 Freudenberg, Wolfgang
1 Gaĭshun, Ivan Vasil’vich
1 Geronimo, Jeffrey S.
1 Gesztesy, Fritz
1 Ghazaryan, Anna
1 Glushchenko, Anatoliy V.
1 Gorgini, M.
1 Gough, John E.
1 Grecos, Alkis P.
1 Hardy, Yorick
1 Holden, Helge
1 Holod, Petro I.
1 Il’in, Vladimir Aleksandrovich
1 Ivanov, Rossen I.
1 Izobov, Nikolaĭ Alekseevich
1 Jäkel, Christian D.
1 Kemp, Garreth
1 Kharrasov, M. Kh.
1 Khrennikov, Andreĭ Yur’evich
1 Khusnutdinov, Nail R.
1 Kocharovsky, Vitaly V.
1 Kocharovsky, Vladimir V.
1 Koptioug, A.
1 Korolyuk, Volodymyr Semenovych
1 Koshlyakov, Vladimir Nikolaevich
1 Kriecherbauer, Thomas
1 Kristoffel, Nikolai
1 Kruchinin, S. P.
1 Kyshakevych, Bohdan Yu.
1 Kyzyrgulov, I. R.
1 Lapik, M. A.
1 Li, Lixin
1 Lozovik, Yurii E.
1 Lu, Yun Gang
1 Machado, José António Tenreiro
1 Maćkowiak, Jan
1 Maison, H. D.
1 Mironov, Yu. M.
1 Mytropol’skyĭ, Yuriĭ Oleksiĭovych
1 Nakamura, Nozomu
1 Nunes, Lizardo H. C. M.
1 Ooi, C. H. Raymond
1 Otero, Dino
1
1 Özçağ, Emin
1 Pastur, Leonid Andreevich
1 Pavlotsky, I. P.
1 Peletminskii, A. S.
1 Peletminskii, Sergey V.
...and 43 more Authors
all top 5

Cited in 45 Serials

18 Theoretical and Mathematical Physics
6 Physica A
6 Ukrainian Mathematical Journal
5 International Journal of Theoretical Physics
5 Doklady Mathematics
4 International Journal of Modern Physics B
4 Communications in Mathematical Physics
4 Journal of Mathematical Analysis and Applications
4 Journal of Mathematical Physics
4 Reports on Mathematical Physics
4 Mathematical and Computer Modelling
4 Annals of Physics
3 Modern Physics Letters B
3 Physics Letters. A
3 Applied Mathematics and Computation
3 Journal of Nonlinear Mathematical Physics
3 Proceedings of the Steklov Institute of Mathematics
2 Mathematical Notes
2 Lobachevskii Journal of Mathematics
2 Nonlinear Oscillations
2 Mathematics
1 Modern Physics Letters A
1 Computers & Mathematics with Applications
1 General Relativity and Gravitation
1 Journal of Statistical Physics
1 Physics Reports
1 Wave Motion
1 Chaos, Solitons and Fractals
1 Memoirs of the American Mathematical Society
1 Applied Mathematics Letters
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Computational Mathematics and Mathematical Physics
1 Journal of Mathematical Sciences (New York)
1 Journal of Vibration and Control
1 Infinite Dimensional Analysis, Quantum Probability and Related Topics
1 Fractional Calculus & Applied Analysis
1 Communications in Nonlinear Science and Numerical Simulation
1 Differential Equations
1 International Journal of Geometric Methods in Modern Physics
1 Foundations of Physics
1 Bulletin of the Russian Academy of Sciences: Physics
1 Kinetic and Related Models
1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
1 Symmetry
1 Carpathian Mathematical Publications

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.