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Bogolyubov, Nikolaĭ Mikhaĭlovich

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Author ID: bogolyubov.nikolai-mikhailovich Recent zbMATH articles by "Bogolyubov, Nikolaĭ Mikhaĭlovich"
Published as: Bogoliubov, N. M.; Bogolyubov, N. M.; Bogoliubov, N.; Bogoliubov, Nikolay; Bogoliubov, Nicolay M.; Bogoliubov, Nikolai M.; Bogoliubov, Nikolay M.; Bogoliubov, Nikolai
External Links: Wikidata · Math-Net.Ru
Documents Indexed: 73 Publications since 1980, including 2 Books
2 Contributions as Editor

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 804 times in 602 Documents Cited by Year
Quantum inverse scattering method and correlation functions. Zbl 0787.47006
Korepin, V. E.; Bogoliubov, N. M.; Izergin, A. G.
539
1993
Boxed plane partitions as an exactly solvable boson model. Zbl 1087.82007
Bogoliubov, N. M.
34
2005
Boundary correlation functions of the six-vertex model. Zbl 1043.82003
Bogoliubov, N. M.; Pronko, A. G.; Zvonarev, M. B.
28
2002
Correlation functions for a strongly correlated boson system. Zbl 0949.82004
Bogoliubov, N. M.; Izergin, A. G.; Kitanine, N. A.
26
1998
A \(q\)-deformed completely integrable Bose gas model. Zbl 0769.46051
Bogoliubov, N. M.; Bullough, R. K.
18
1992
Integrable models and combinatorics. Zbl 1351.82016
Bogoliubov, N. M.; Malyshev, C. L.
14
2015
Exact solution of generalized Tavis-Cummings models in quantum optics. Zbl 0906.35083
Bogoliubov, N. M.; Bullough, R. K.; Timonen, J.
11
1996
Correlation functions of integrable systems and the quantum inverse problem method. (Korrelyatsionnye funktsii integriruemykh sistem i kvantovyj metod obratnoj zadachi.) Zbl 0880.47003
Bogolyubov, N. M.; Izergin, A. G.; Korepin, V. E.
11
1992
Critical behavior for correlated strongly coupled boson systems in \(1+1\) dimensions. Zbl 0973.82504
Bogoliubov, N. M.; Bullough, R. K.; Timonen, J.
10
1994
Correlation functions of XX0 Heisenberg chain, \(q\)-binomial determinants, and random walks. Zbl 1284.82016
Bogoliubov, N. M.; Malyshev, C.
10
2014
Enumeration of plane partitions and the algebraic Bethe ansatz. Zbl 1127.82016
Bogoliubov, N. M.
9
2007
The correlation functions of the \(XXZ\) Heisenberg chain in the case of zero or infinite anisotropy, and random walks of vicious walkers. Zbl 1223.82025
Bogoliubov, N. M.; Malyshev, C.
8
2011
On the spectrum of the non-Hermitian phase-difference model. Zbl 0967.82502
Bogoliubov, Nikolai M.; Nassar, Tarek
8
1997
The \(su(1,1)\) Tavis-Cummings model. Zbl 1042.81608
Rybin, Andrei; Kastelewicz, Georg; Timonen, Jussi; Bogoliubov, Nikolai
7
1998
Correlation functions of the XX Heisenberg magnet and random walks of vicious walkers. Zbl 1176.82043
Bogoliubov, N. M.; Malyshev, C.
6
2009
Correlation functions for a strongly coupled boson system and plane partitions. Zbl 1219.82055
Bogoliubov, Nikolay; Timonen, Jussi
6
2011
An integrable \(q\)-deformed model for bosons interacting with spin impurities. Zbl 0843.58128
Bogoliubov, N. M.; Rybin, A. V.; Timonen, J.
5
1994
Form factors, plane partitions, and random walks. Zbl 1177.05015
Bogoliubov, N. M.
5
2009
Four-vertex model and random tilings. Zbl 1155.81337
Bogoliubov, N. M.
5
2008
Solitons of \(q\)-deformed quantum lattices and the quantum soliton. Zbl 0995.81162
Bullough, R. K.; Bogoliubov, N. M.; Rybin, A. V.; Varzugin, G. G.; Timonen, J.
4
2001
Exactly solvable models of quantum nonlinear optics. Zbl 1276.81120
Bogoliubov, N. M.; Kulish, P. P.
3
2013
Four-vertex model. Zbl 1288.05037
Bogoliubov, N. M.
3
2008
\(XXO\) Heisenberg chain and random walks. Zbl 1080.60090
Bogolyubov, N. M.
2
2005
Determinantal representation of the time-dependent stationary correlation function for the totally asymmetric simple exclusion model. Zbl 1160.82336
Bogoliubov, Nikolay M.
2
2009
The phase model and the norm-trace generating function of plane partitions. Zbl 1457.82095
Bogoliubov, Nikolay; Malyshev, Cyril
2
2018
Multiple-grain dissipative sandpiles. Zbl 1274.82040
Bogoliubov, N. M.; Pronko, A. G.; Timonen, J.
2
2013
Functional integration and the two-point correlation function of the one-dimensional Bose gas in a harmonic potential. Zbl 1101.82004
Bogolyubov, N. M.; Malyshev, C.
2
2006
The quantum Ablowitz-Ladik equation as a \(q\)-boson system. Zbl 0900.35310
Bullough, R. K.; Bogoliubov, N. M.; Pang, G. D.
2
1993
Integrable models for vicious and friendly walkers. Zbl 1127.82023
Bogolyubov, N. M.
2
2006
Calculation of correlation functions in totally asymmetric exactly solvable models on a ring. Zbl 1286.82012
Bogoliubov, N. M.
2
2013
Scalar products of state vectors in totally asymmetric exactly solvable models on a ring. Zbl 1325.82013
Bogoliubov, N. M.
2
2013
Time-dependent correlation functions for the bimodal Bose-Hubbard model. Zbl 1353.81121
Bogoliubov, N. M.
2
2016
Multi-dimensional random walks and integrable phase models. Zbl 1376.82087
Bogoliubov, N.; Malyshev, C.
2
2017
Multi-particle correlation functions in a trapped Bose gas. Zbl 1092.82504
Bogolyubov, N. M.
1
2000
Five-vertex model with fixed boundary conditions. Zbl 1194.81174
Bogolyubov, N. M.
1
2010
Exact solution of a model of three bound oscillators with Stark nonlinearity. Zbl 0899.58055
Bogolyubov, N. M.
1
1995
Correlators of the phase model. Zbl 1053.82501
Bogoliubov, N. M.; Izergin, A. G.; Kitanine, N. A.
1
1997
Quantum integrable and nonintegrable nonlinear Schrödinger models for realizable Bose–Einstein condensation in \(d+1\) dimensions \((d=1,2,3)\). Zbl 1078.81534
Bullough, R. K.; Bogolyubov, N. M.; Kapitonov, V. S.; Malyshev, C.; Timonen, J.; Rybin, A. V.; Varzugin, G. G.; Lindberg, M.
1
2003
A path-integration approach to the correlators of \(XY\) Heisenberg magnet and random walks. Zbl 1180.82018
Bogoliubov, N. M.; Malyshev, C.
1
2008
Time evolution of the atomic inversion for the generalized Tavis-Cummings model – QIM approach. Zbl 1378.81177
Bogoliubov, N. M.; Ermakov, I.; Rybin, A.
1
2017
Quantum groups: \(q\)-boson theories of integrable models. Zbl 0812.58042
Bullough, R. K.; Bogoliubov, N. M.
1
1992
Ising limit of a Heisenberg XXZ magnet and some temperature correlation functions. Zbl 1274.82019
Bogoliubov, N. M.; Malyshev, C. L.
1
2011
A combinatorial interpretation of the scalar products of state vectors of integrable models. Zbl 1307.05222
Bogoliubov, N. M.; Malyshev, C.
1
2014
Correlation functions as nests of self-avoiding paths. Zbl 1416.05283
Bogoliubov, N.; Malyshev, C.
1
2019
Zero range process and multi-dimensional random walks. Zbl 1372.82014
Bogoliubov, Nicolay M.; Malyshev, Cyril
1
2017
Correlation functions as nests of self-avoiding paths. Zbl 1416.05283
Bogoliubov, N.; Malyshev, C.
1
2019
The phase model and the norm-trace generating function of plane partitions. Zbl 1457.82095
Bogoliubov, Nikolay; Malyshev, Cyril
2
2018
Multi-dimensional random walks and integrable phase models. Zbl 1376.82087
Bogoliubov, N.; Malyshev, C.
2
2017
Time evolution of the atomic inversion for the generalized Tavis-Cummings model – QIM approach. Zbl 1378.81177
Bogoliubov, N. M.; Ermakov, I.; Rybin, A.
1
2017
Zero range process and multi-dimensional random walks. Zbl 1372.82014
Bogoliubov, Nicolay M.; Malyshev, Cyril
1
2017
Time-dependent correlation functions for the bimodal Bose-Hubbard model. Zbl 1353.81121
Bogoliubov, N. M.
2
2016
Integrable models and combinatorics. Zbl 1351.82016
Bogoliubov, N. M.; Malyshev, C. L.
14
2015
Correlation functions of XX0 Heisenberg chain, \(q\)-binomial determinants, and random walks. Zbl 1284.82016
Bogoliubov, N. M.; Malyshev, C.
10
2014
A combinatorial interpretation of the scalar products of state vectors of integrable models. Zbl 1307.05222
Bogoliubov, N. M.; Malyshev, C.
1
2014
Exactly solvable models of quantum nonlinear optics. Zbl 1276.81120
Bogoliubov, N. M.; Kulish, P. P.
3
2013
Multiple-grain dissipative sandpiles. Zbl 1274.82040
Bogoliubov, N. M.; Pronko, A. G.; Timonen, J.
2
2013
Calculation of correlation functions in totally asymmetric exactly solvable models on a ring. Zbl 1286.82012
Bogoliubov, N. M.
2
2013
Scalar products of state vectors in totally asymmetric exactly solvable models on a ring. Zbl 1325.82013
Bogoliubov, N. M.
2
2013
The correlation functions of the \(XXZ\) Heisenberg chain in the case of zero or infinite anisotropy, and random walks of vicious walkers. Zbl 1223.82025
Bogoliubov, N. M.; Malyshev, C.
8
2011
Correlation functions for a strongly coupled boson system and plane partitions. Zbl 1219.82055
Bogoliubov, Nikolay; Timonen, Jussi
6
2011
Ising limit of a Heisenberg XXZ magnet and some temperature correlation functions. Zbl 1274.82019
Bogoliubov, N. M.; Malyshev, C. L.
1
2011
Five-vertex model with fixed boundary conditions. Zbl 1194.81174
Bogolyubov, N. M.
1
2010
Correlation functions of the XX Heisenberg magnet and random walks of vicious walkers. Zbl 1176.82043
Bogoliubov, N. M.; Malyshev, C.
6
2009
Form factors, plane partitions, and random walks. Zbl 1177.05015
Bogoliubov, N. M.
5
2009
Determinantal representation of the time-dependent stationary correlation function for the totally asymmetric simple exclusion model. Zbl 1160.82336
Bogoliubov, Nikolay M.
2
2009
Four-vertex model and random tilings. Zbl 1155.81337
Bogoliubov, N. M.
5
2008
Four-vertex model. Zbl 1288.05037
Bogoliubov, N. M.
3
2008
A path-integration approach to the correlators of \(XY\) Heisenberg magnet and random walks. Zbl 1180.82018
Bogoliubov, N. M.; Malyshev, C.
1
2008
Enumeration of plane partitions and the algebraic Bethe ansatz. Zbl 1127.82016
Bogoliubov, N. M.
9
2007
Functional integration and the two-point correlation function of the one-dimensional Bose gas in a harmonic potential. Zbl 1101.82004
Bogolyubov, N. M.; Malyshev, C.
2
2006
Integrable models for vicious and friendly walkers. Zbl 1127.82023
Bogolyubov, N. M.
2
2006
Boxed plane partitions as an exactly solvable boson model. Zbl 1087.82007
Bogoliubov, N. M.
34
2005
\(XXO\) Heisenberg chain and random walks. Zbl 1080.60090
Bogolyubov, N. M.
2
2005
Quantum integrable and nonintegrable nonlinear Schrödinger models for realizable Bose–Einstein condensation in \(d+1\) dimensions \((d=1,2,3)\). Zbl 1078.81534
Bullough, R. K.; Bogolyubov, N. M.; Kapitonov, V. S.; Malyshev, C.; Timonen, J.; Rybin, A. V.; Varzugin, G. G.; Lindberg, M.
1
2003
Boundary correlation functions of the six-vertex model. Zbl 1043.82003
Bogoliubov, N. M.; Pronko, A. G.; Zvonarev, M. B.
28
2002
Solitons of \(q\)-deformed quantum lattices and the quantum soliton. Zbl 0995.81162
Bullough, R. K.; Bogoliubov, N. M.; Rybin, A. V.; Varzugin, G. G.; Timonen, J.
4
2001
Multi-particle correlation functions in a trapped Bose gas. Zbl 1092.82504
Bogolyubov, N. M.
1
2000
Correlation functions for a strongly correlated boson system. Zbl 0949.82004
Bogoliubov, N. M.; Izergin, A. G.; Kitanine, N. A.
26
1998
The \(su(1,1)\) Tavis-Cummings model. Zbl 1042.81608
Rybin, Andrei; Kastelewicz, Georg; Timonen, Jussi; Bogoliubov, Nikolai
7
1998
On the spectrum of the non-Hermitian phase-difference model. Zbl 0967.82502
Bogoliubov, Nikolai M.; Nassar, Tarek
8
1997
Correlators of the phase model. Zbl 1053.82501
Bogoliubov, N. M.; Izergin, A. G.; Kitanine, N. A.
1
1997
Exact solution of generalized Tavis-Cummings models in quantum optics. Zbl 0906.35083
Bogoliubov, N. M.; Bullough, R. K.; Timonen, J.
11
1996
Exact solution of a model of three bound oscillators with Stark nonlinearity. Zbl 0899.58055
Bogolyubov, N. M.
1
1995
Critical behavior for correlated strongly coupled boson systems in \(1+1\) dimensions. Zbl 0973.82504
Bogoliubov, N. M.; Bullough, R. K.; Timonen, J.
10
1994
An integrable \(q\)-deformed model for bosons interacting with spin impurities. Zbl 0843.58128
Bogoliubov, N. M.; Rybin, A. V.; Timonen, J.
5
1994
Quantum inverse scattering method and correlation functions. Zbl 0787.47006
Korepin, V. E.; Bogoliubov, N. M.; Izergin, A. G.
539
1993
The quantum Ablowitz-Ladik equation as a \(q\)-boson system. Zbl 0900.35310
Bullough, R. K.; Bogoliubov, N. M.; Pang, G. D.
2
1993
A \(q\)-deformed completely integrable Bose gas model. Zbl 0769.46051
Bogoliubov, N. M.; Bullough, R. K.
18
1992
Correlation functions of integrable systems and the quantum inverse problem method. (Korrelyatsionnye funktsii integriruemykh sistem i kvantovyj metod obratnoj zadachi.) Zbl 0880.47003
Bogolyubov, N. M.; Izergin, A. G.; Korepin, V. E.
11
1992
Quantum groups: \(q\)-boson theories of integrable models. Zbl 0812.58042
Bullough, R. K.; Bogoliubov, N. M.
1
1992
all top 5

Cited by 575 Authors

35 Slavnov, Nikita A.
32 Bogolyubov, Nikolaĭ Mikhaĭlovich
31 Yang, Wenli
25 Cao, Junpeng
25 Shi, Kangjie
22 Pronko, Andrei G.
20 Doikou, Anastasia
17 Ragoucy, Eric
17 Wang, Yupeng
15 Hao, Kun
15 Motegi, Kohei
13 Korepin, Vladimir E.
13 Lima-Santos, Antonio
13 Zhang, Yaozhong
12 Colomo, Filippo
12 Frahm, Holger
12 Pozsgay, Balázs
11 Kitanine, N. A.
11 Li, Guangliang
11 Maillet, Jean-Michel
11 van Diejen, Jan Felipe
11 Wheeler, Michael
10 Kozlowski, Karol Kajetan
10 Pakuliak, Stanislav Z.
10 Terras, Véronique
9 Emsiz, Erdal
9 Foda, Omar
9 Galleas, Wellington
9 Ribeiro, G. A. P.
8 Amico, Luigi
8 Guan, Xiwen
7 Piroli, Lorenzo
7 Saleur, Hubert
6 Crampé, Nicolas
6 Göhmann, Frank
6 Gould, Mark D.
6 Izergin, Anatoli G.
6 Kulish, Petr Petrovich
6 Links, Jon Robert
6 Nepomechie, Rafael I.
6 Trombettoni, Andrea
6 Varchenko, Alexander Nikolaevich
6 Zabrodin, Anton V.
6 Zhou, Huanqiang
6 Zuparic, Mathew L.
5 Bullough, Robin K.
5 Doliwa, Adam
5 Essler, Fabian H. L.
5 Foerster, Angela
5 Frappat, Luc
5 Its, Alexander Rudolfovich
5 Mukhin, Evgeny
5 Osterloh, Andreas
5 Xu, Xiaotian
5 Xue, Kang
5 Yue, Ruihong
4 Arnaudon, Daniel
4 Belitsky, Andrei V.
4 Belliard, Samuel
4 Calabrese, Pasquale
4 Caux, Jean-Sébastien
4 Derkachëv, Sergeĭ Èduardovich
4 Ge, Molin
4 Klümper, Andreas
4 Korchemsky, Gregory P.
4 LeClair, André
4 Lukyanov, Sergei L.
4 Panfil, Miłosz
4 Petrov, Leonid
4 Prosen, Tomaž
4 Roditi, Itzhak
4 Tarasov, Vitaly Olegovich
4 Timonen, Jussi
4 Yang, Tao
4 Yang, Zhanying
4 Zinn-Justin, Paul
3 Ahn, Changrim
3 Basu-Mallick, Bireswar
3 Bhattacharyya, Tanaya
3 Bibikov, P. N.
3 Borodin, Alexei
3 Bytsko, Andrei G.
3 Chen, Xi
3 Choreño, E.
3 Corwin, Ivan
3 Cubero, Axel Cortés
3 Cui, Shuai
3 Deguchi, Tetsuo
3 Feng, Jun
3 Ilievski, Enej
3 Jiang, Yunfeng
3 Korff, Christian
3 Li, Yuanyuan
3 Matsui, Chihiro
3 Melo, C. S.
3 Ojeda-Guillén, D.
3 Qiao, Yi
3 Razumov, Alexander V.
3 Sakai, Kazumitsu
3 Sedrakyan, Ara
...and 475 more Authors
all top 5

Cited in 64 Serials

182 Nuclear Physics. B
71 Journal of Statistical Mechanics: Theory and Experiment
42 Theoretical and Mathematical Physics
35 Journal of Mathematical Sciences (New York)
33 Journal of Mathematical Physics
30 Journal of High Energy Physics
29 Physics Letters. A
23 Communications in Mathematical Physics
15 Letters in Mathematical Physics
11 Annals of Physics
11 Journal of Physics A: Mathematical and Theoretical
10 Journal of Statistical Physics
7 Advances in Mathematics
5 International Journal of Theoretical Physics
5 Chaos, Solitons and Fractals
5 Journal of Geometry and Physics
5 Journal of Combinatorial Theory. Series A
5 Physica D
4 International Journal of Modern Physics B
4 Advances in Applied Mathematics
4 Annales Henri Poincaré
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 International Journal of Modern Physics A
3 Journal of Functional Analysis
3 St. Petersburg Mathematical Journal
3 Selecta Mathematica. New Series
3 New Journal of Physics
2 Physics Letters. B
2 Reviews in Mathematical Physics
2 Acta Applicandae Mathematicae
2 Bulletin of the American Mathematical Society. New Series
2 Physical Review Letters
2 Journal of Nonlinear Mathematical Physics
2 Quantum Information Processing
2 Advances in Mathematical Physics
1 Modern Physics Letters B
1 Discrete Mathematics
1 Nonlinearity
1 Physics Reports
1 Reports on Mathematical Physics
1 Reviews of Modern Physics
1 Acta Mathematica
1 Applied Mathematics and Computation
1 Compositio Mathematica
1 Functional Analysis and its Applications
1 Journal of Approximation Theory
1 Proceedings of the American Mathematical Society
1 Transactions of the American Mathematical Society
1 Science in China. Series A
1 Journal of Algebraic Combinatorics
1 Journal of Mathematical Chemistry
1 The Ramanujan Journal
1 Nonlinear Dynamics
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Gravitation & Cosmology
1 Central European Journal of Mathematics
1 International Journal of Quantum Information
1 Advances in Difference Equations
1 Communications in Theoretical Physics
1 Physical Review A, Third Series
1 Probability Surveys
1 Random Matrices: Theory and Applications
1 Forum of Mathematics, Sigma
1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD)
all top 5

Cited in 47 Fields

423 Statistical mechanics, structure of matter (82-XX)
316 Quantum theory (81-XX)
62 Nonassociative rings and algebras (17-XX)
48 Combinatorics (05-XX)
48 Partial differential equations (35-XX)
43 Dynamical systems and ergodic theory (37-XX)
33 Associative rings and algebras (16-XX)
19 Special functions (33-XX)
19 Probability theory and stochastic processes (60-XX)
15 Algebraic geometry (14-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
13 Group theory and generalizations (20-XX)
12 Operator theory (47-XX)
10 Relativity and gravitational theory (83-XX)
9 Mechanics of particles and systems (70-XX)
7 Ordinary differential equations (34-XX)
7 Integral equations (45-XX)
6 Topological groups, Lie groups (22-XX)
5 History and biography (01-XX)
5 Functions of a complex variable (30-XX)
5 Differential geometry (53-XX)
4 Difference and functional equations (39-XX)
4 Geometry (51-XX)
4 Statistics (62-XX)
4 Numerical analysis (65-XX)
4 Information and communication theory, circuits (94-XX)
3 \(K\)-theory (19-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Convex and discrete geometry (52-XX)
3 Fluid mechanics (76-XX)
2 Number theory (11-XX)
2 Real functions (26-XX)
2 Abstract harmonic analysis (43-XX)
2 Integral transforms, operational calculus (44-XX)
2 Functional analysis (46-XX)
2 Manifolds and cell complexes (57-XX)
2 Optics, electromagnetic theory (78-XX)
2 Biology and other natural sciences (92-XX)
1 General and overarching topics; collections (00-XX)
1 Field theory and polynomials (12-XX)
1 Category theory; homological algebra (18-XX)
1 Sequences, series, summability (40-XX)
1 Approximations and expansions (41-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Systems theory; control (93-XX)

Citations by Year

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