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Korepin, Vladimir E.

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Author ID: korepin.vladimir-e Recent zbMATH articles by "Korepin, Vladimir E."
Published as: Korepin, V. E.; Korepin, Vladimir E.; Korepin, Vladimir; Korepin, V.
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 139 Publications since 1980, including 6 Books
Biographic References: 2 Publications
Co-Authors: 51 Co-Authors with 112 Joint Publications
848 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

110 Publications have been cited 1,850 times in 1,106 Documents Cited by Year
Quantum inverse scattering method and correlation functions. Zbl 0787.47006
Korepin, V. E.; Bogoliubov, N. M.; Izergin, A. G.
549
1993
Calculation of norms of Bethe wave functions. Zbl 0531.60096
Korepin, V. E.
222
1982
Differential equations for quantum correlation functions. Zbl 0719.35091
Its, A. R.; Izergin, A. G.; Korepin, V. E.; Slavnov, N. A.
109
1990
The one-dimensional Hubbard model. Zbl 1107.82014
Essler, Fabian H. L.; Frahm, Holger; Göhmann, Frank; Klümper, Andreas; Korepin, Vladimir E.
78
2005
Quantum spin chain, Toeplitz determinants and the Fisher-Hartwig conjecture. Zbl 1142.82314
Jin, B.-Q.; Korepin, V. E.
69
2004
Thermodynamic limit of the six-vertex model with domain wall boundary conditions. Zbl 0956.82008
Korepin, V.; Zinn-Justin, P.
60
2000
Determinant formula for the six-vertex model. Zbl 0764.60114
Izergin, A. G.; Coker, D. A.; Korepin, V. E.
60
1992
The quantum inverse scattering method approach to correlation functions. Zbl 1093.82504
Izergin, A. G.; Korepin, V. E.
43
1984
Entanglement in the \(XY\) spin chain. Zbl 1112.82013
Its, A. R.; Jin, B. Q.; Korepin, V. E.
32
2005
Solution of the quantum inverse problem. Zbl 0972.82036
Göhmann, F.; Korepin, V. E.
24
2000
Correlation functions for the Heisenberg \(XXZ\)-antiferromagnet. Zbl 1094.82503
Izergin, A. G.; Korepin, V. E.
19
1985
Renyi entropy of the XY spin chain. Zbl 1189.82024
Franchini, F.; Its, A. R.; Korepin, V. E.
18
2008
A lattice model connected with a nonlinear Schrödinger equation. Zbl 0941.82507
Izergin, A. G.; Korepin, V. E.
17
1981
Correlation functions of the one-dimensional Bose gas in the repulsive case. Zbl 1062.82501
Korepin, V. E.
17
1984
Determinant representation for dynamical correlation functions of the quantum nonlinear Schrödinger equation. Zbl 0886.35138
Kojima, T.; Korepin, V. E.; Slavnov, N. A.
17
1997
Generating functional of correlation functions for the nonlinear Schrödinger equation. Zbl 0737.35116
Korepin, V. E.
17
1989
The time dependent correlation function of an impenetrable Bose gas as a Fredholm minor. I. Zbl 0698.60095
Korepin, V. E.; Slavnov, N. A.
17
1990
Exactly solvable models of strongly correlated electrons. Zbl 1066.82506
Korepin, Vladimir E.; Eßler, Fabian H. L.
16
1994
Quantum spin chains and Riemann zeta function with odd arguments. Zbl 1059.82006
Boos, H. E.; Korepin, V. E.
16
2001
Dual field formulation of quantum integrable models. Zbl 0629.58039
Korepin, V. E.
15
1987
Temperature correlators of the impenetrable Bose gas as an integrable system. Zbl 0698.60094
Its, A. R.; Izergin, A. G.; Korepin, V. E.
13
1990
Long-distance asymptotics of temperature correlators of the impenetrable Bose gas. Zbl 0702.76089
Its, A. R.; Izergin, A. G.; Korepin, V. E.
13
1990
Correlation function of the spin-\(\frac 12 XXX\) antiferromagnet. Zbl 0959.82506
Korepin, Vladimir E.; Izergin, Anatoli G.; Essler, Fabian H. L.; Uglov, Denis B.
12
1994
Emptiness formation probability and quantum Knizhnik-Zamolodchikov equation. Zbl 1037.82007
Boos, H. E.; Korepin, V. E.; Smirnov, F. A.
12
2003
The inverse scattering method approach to the quantum Shabat-Mikhailov model. Zbl 0441.35053
Izergin, A. G.; Korepin, V. E.
12
1980
Ellipses of constant entropy in the \(XY\) spin chain. Zbl 1117.82012
Franchini, F.; Its, A. R.; Jin, B-Q; Korepin, V. E.
11
2007
Determinant representation for correlation functions of spin-1/2 XXX and XXZ Heisenberg magnets. Zbl 0839.47049
Eßler, Fabian H. L.; Frahm, Holger; Izergin, Anatoli G.; Korepin, Vladimir E.
11
1995
Large time and distance asymptotics of field correlation function of impenetrable bosons at finite temperature. Zbl 0800.35034
Its, A. R.; Izergin, A. G.; Korepin, V. E.; Varzugin, G. G.
11
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
Entropy of \(XY\) spin chain and block Toeplitz determinants. Zbl 1118.81009
Its, A. R.; Jin, B.-Q.; Korepin, V. E.
10
2007
Simple algorithm for partial quantum search. Zbl 1119.81030
Korepin, Vladimir E.; Grover, Lov K.
10
2006
Optimization of partial search. Zbl 1086.81024
Korepin, Vladimir E.
10
2005
Phase separation in the six-vertex model with a variety of boundary conditions. Zbl 1388.82007
Lyberg, I.; Korepin, V.; Ribeiro, G. A. P.; Viti, J.
10
2018
Thermodynamic limit of the six-vertex model with reflecting end. Zbl 1320.81065
Ribeiro, G. A. P.; Korepin, V. E.
9
2015
New exactly solvable model of strongly correlated electrons motivated by high-\(t_ c\) superconductivity. Zbl 1054.82502
Essler, Fabian; Korepin, Vladimir; Schoutens, Kareljan
9
1992
Exact solution of an electronic model of superconductivity. Zbl 1264.82179
Eßler, Fabian H. L.; Korepin, Vladimir E.; Schoutens, Kareljan
8
1996
Spectrum of low-lying excitations in a supersymmetric extended Hubbard model. Zbl 1264.82178
Eßler, Fabian H. L.; Korepin, Vladimir E.
8
1996
Inhomogeneous six-vertex model with domain wall boundary conditions and Bethe ansatz. Zbl 1060.82010
Korepin, V.; Zinn-Justin, P.
8
2002
New exactly solvable model of strongly correlated electrons motivated by high-\(T_c\) superconductivity. Zbl 0969.82569
Essler, Fabian H. L.; Korepin, Vladimir E.; Schoutens, Kareljan
8
1992
Asymptotic behavior of the emptiness formation probability in the critical phase of \(XXZ\) spin chain. Zbl 1050.82008
Korepin, V. E.; Lukyanov, S.; Nishiyama, Y.; Shiroishi, M.
8
2003
Correlation functions in the quantum inverse scattering method. Zbl 0538.60097
Izergin, A. G.; Korepin, V. E.
8
1984
Entanglement and density matrix of a block of spins in AKLT model. Zbl 1161.82312
Xu, Ying; Katsura, Hosho; Hirano, Takaaki; Korepin, Vladimir E.
8
2008
Quantum correlations and number theory. Zbl 1066.82010
Boos, H. E.; Korepin, V. E.; Nishiyama, Y.; Shiroishi, M.
8
2002
Norms of bound states. Zbl 0637.47004
Kirillov, A. N.; Korepin, V. E.
8
1988
Entanglement in an \(\mathrm{SU}(n)\) valence-bond-solid state. Zbl 1148.81006
Katsura, Hosho; Hirano, Takaaki; Korepin, Vladimir E.
7
2008
Integro-difference equation for a correlation function of the spin-\(\frac 12\) Heisenberg \(XXZ\) chain. Zbl 1009.82506
Essler, Fabian H. L.; Frahm, Holger; Its, Alexander R.; Korepin, Vladimir E.
7
1995
Evaluation of integrals representing correlations in the \(XXX\) Heisenberg spin chain. Zbl 1010.82014
Boos, H. E.; Korepin, V. E.
7
2002
Correlation function of fields in one-dimensional Bose-gas. Zbl 0727.35130
Korepin, V. E.; Slavnov, N. A.
7
1991
Entanglement in Valence-Bond-Solid states. Zbl 1197.82042
Korepin, Vladimir E.; Xu, Ying
6
2010
The Fisher-Hartwig formula and entanglement entropy. Zbl 1183.82014
Its, A. R.; Korepin, V. E.
6
2009
Form factors in the finite volume. Zbl 1229.82071
Korepin, V. E.; Slavnov, N. A.
6
1999
Completely integrable equation for the quantum correlation function of nonlinear Schrödinger equation. Zbl 0902.35107
Kojima, T.; Korepin, V. E.; Slavnov, N. A.
6
1997
Group theoretical formulation of a quantum partial search algorithm. Zbl 1115.81326
Korepin, Vladimir E.; Vallilo, Brenno C.
5
2006
Quest for fast partial search algorithm. Zbl 1103.68043
Korepin, Vladimir E.; Liao, Jinfeng
5
2006
The one-dimensional Hubbard model. Reprint of the 2005 hardback ed. Zbl 1192.82029
Essler, Fabian H. L.; Frahm, Holger; Göhmann, Frank; Klümper, Andreas; Korepin, Vladimir E.
5
2010
Hierarchical quantum search. Zbl 1141.81304
Korepin, Vladimir E.; Xu, Ying
5
2007
Entangled spin chain. Zbl 1378.81022
Salberger, Olof; Korepin, Vladimir
5
2017
Spectrum of the density matrix of a large block of spins of the \(XY\) model in one dimension. Zbl 1216.81027
Franchini, F.; Its, A. R.; Korepin, V. E.; Takhtajan, L. A.
4
2011
Quantum partial search of a database with several target items. Zbl 1134.81328
Choi, Byung-Soo; Korepin, Vladimir E.
4
2007
Connecting lattice and relativistic models via conformal field theory. Zbl 1138.82306
Boos, H. E.; Korepin, V. E.; Smirnov, F. A.
4
2005
The Yangian symmetry of the Hubbard model. Zbl 0959.82504
Uglov, D. B.; Korepin, V. E.
4
1994
The Hubbard chain: Lieb-Wu equations and norm of the eigenfunctions. Zbl 0940.82016
Göhmann, F.; Korepin, V. E.
4
1999
Quantum inverse scattering method and correlation functions. Zbl 0966.35123
Korepin, V.; Slavnov, N.
4
2000
Space correlations in one-dimensional impenetrable Bose gas at finite temperature. Zbl 0753.35093
Its, A. R.; Izergin, A. G.; Korepin, V. E.
4
1991
The Yangian symmetry of the Hubbard model. Zbl 0894.17026
Uglov, D. B.; Korepin, V. E.
4
1994
Integrable differential equations for temperature correlation functions of the XXO Heisenberg chain. Zbl 0860.35120
Izergin, A. G.; Its, A. R.; Korepin, V. E.; Slavnov, N. A.
4
1993
New formulae for solutions of quantum Knizhnik-Zamolodchikov equations on level-4. Zbl 1050.82015
Boos, Hermann; Korepin, Vladimir; Smirnov, Feodor
4
2004
The quantum correlation function as the \(\tau\) function of classical differential equations. Zbl 0814.35108
Its, A. R.; Izergin, A. G.; Korepin, V. E.; Slavnov, N. A.
4
1993
Entanglement spectra of \(q\)-deformed higher spin VBS states. Zbl 1241.81109
Santos, Raul A.; Paraan, Francis N. C.; Korepin, Vladimir E.; Klümper, Andreas
3
2012
Quantum search algorithms. Zbl 1187.81070
Korepin, Vladimir E.; Xu, Ying
3
2009
\(\text{SU}(2)\times\text{SU}(2)\)-invariant scattering matrix of the Hubbard model. Zbl 1049.82512
Essler, Fabian H. L.; Korepin, Vladimir E.
3
1994
Differential equation for a correlation function of the spin-\(\frac12\) Heisenberg chain. Zbl 1049.82508
Frahm, Holger; Its, Alexander R.; Korepin, Vladimir E.
3
1994
Rényi entropy of highly entangled spin chains. Zbl 1423.81212
Sugino, Fumihiko; Korepin, Vladimir
3
2018
A review on quantum search algorithms. Zbl 1382.81056
Giri, Pulak Ranjan; Korepin, Vladimir E.
3
2017
Influence of boundary conditions on bulk properties of six-vertex model. Zbl 1332.82025
Tavares, T. S.; Ribeiro, G. A. P.; Korepin, V. E.
3
2015
Valance bond solid in quasicrystals. Zbl 0717.60118
Kirillov, A. N.; Korepin, V. E.
3
1990
Integrable differential equations for temperature correlation functions of the Heisenberg XXO chain. Zbl 0810.35121
Izergin, A. G.; Its, A. R.; Korepin, V. E.; Slavnov, N. A.
3
1993
The determinant representation for quantum correlation functions of the sinh-Gordon model. Zbl 0954.81048
Korepin, V. E.; Slavnov, N. A.
3
1998
Completely integrable models in quasicrystals. Zbl 0614.52009
Korepin, V. E.
3
1987
Entanglement of disjoint blocks in the one-dimensional spin-1 VBS. Zbl 1245.81013
Santos, Raul A.; Korepin, Vladimir E.
2
2012
Entanglement in valence-bond-solid states on symmetric graphs. Zbl 1193.82049
Katsura, Hosho; Kawashima, Naoki; Kirillov, Anatol N.; Korepin, Vladimir E.; Tanaka, Shu
2
2010
One-dimensional impenetrable anyons in thermal equilibrium. I: Anyonic generalization of Lenard’s formula. Zbl 1142.82024
Pâţu, Ovidiu I.; Korepin, Vladimir E.; Averin, Dmitri V.
2
2008
Generalized entropy of the Heisenberg spin chain. Zbl 1252.82027
Its, A. R.; Korepin, V. E.
2
2010
New formulae for solutions to quantum Knizhnik-Zamolodchikov equations of level \(-4\) and correlation functions. Zbl 1154.82305
Boos, Hermann; Korepin, Vladimir; Smirnov, Feodor
2
2004
On the probability of ferromagnetic strings in antiferromagnetic spin chains. Zbl 1001.82023
Abanov, Alexander G.; Korepin, Vladimir E.
2
2002
The Riemann-Hilbert problem associated with the quantum nonlinear Schrödinger equation. Zbl 0928.35165
Korepin, V. E.; Slavnov, N. A.
2
1997
Normal ordering in the theory of correlation functions of exactly solvable models. Zbl 0928.35166
Korepin, Vladimir; Slavnov, Nikita
2
1997
Painlevé transcendent describes quantum correlation function of the XXZ antiferromagnet away from the free-fermion point. Zbl 0904.34010
Essler, F. H. L.; Frahm, H.; Its, A. R.; Korepin, V. E.
2
1996
Scattering of plane waves in self-dual Yang-Mills theory. Zbl 0898.58062
Korepin, Vladimir E.; Oota, Takeshi
2
1996
One-dimensional impenetrable anyons in thermal equilibrium: II. determinant representation for the dynamic correlation functions. Zbl 1152.81041
Pâţu, Ovidiu I.; Korepin, Vladimir E.; Averin, Dmitri V.
2
2008
A three-instanton solution. Zbl 0574.14015
Korepin, V. E.; Shatashvili, S. L.
2
1985
The density profile of the six vertex model with domain wall boundary conditions. Zbl 1457.82081
Lyberg, I.; Korepin, V.; Viti, J.
2
2017
The matrix Riemann-Hilbert problem and differential equation for correlation function of the \(XXO\) Heisenberg chain. Zbl 0836.35113
Izergin, A. G.; Its, A. R.; Korepin, V. E.; Slavnov, N. A.
2
1994
One-dimensional impenetrable anyons in thermal equilibrium. IV: Large time and distance asymptotic behavior of the correlation functions. Zbl 1186.81079
Pâţu, Ovidiu I.; Korepin, Vladimir E.; Averin, Dmitri V.
1
2010
Correlation functions of one-dimensional Lieb-Liniger anyons. Zbl 1189.82015
Pâtu, Ovidiu I.; Korepin, Vladimir E.; Averin, Dmitri V.
1
2007
Emptiness formation probability and quantum Knizhnik-Zamolodchikov equation. Zbl 1080.82510
Boos, H. E.; Korepin, V. E.; Smirnov, F. A.
1
2004
Time and temperature dependent correlation functions of 1D models of quantum statistical mechanics. Zbl 0969.82501
Korepin, Vladimir; Slavnov, Nikita
1
1997
Entanglement of the valence-bond-solid state on an arbitrary graph. Zbl 1157.82390
Xu, Ying; Korepin, Vladimir E.
1
2008
Correlation functions in the quantum inverse scattering method. Zbl 0579.60098
Izergin, A. G.; Korepin, V. E.
1
1985
Correlation functions of the one-dimensional Bose gas in the repulsive case. Zbl 0579.60099
Korepin, V. E.
1
1985
Phase separation in the six-vertex model with a variety of boundary conditions. Zbl 1388.82007
Lyberg, I.; Korepin, V.; Ribeiro, G. A. P.; Viti, J.
10
2018
Rényi entropy of highly entangled spin chains. Zbl 1423.81212
Sugino, Fumihiko; Korepin, Vladimir
3
2018
Fredkin spin chain. Zbl 1397.82018
Salberger, Olof; Korepin, Vladimir
1
2018
Entangled spin chain. Zbl 1378.81022
Salberger, Olof; Korepin, Vladimir
5
2017
A review on quantum search algorithms. Zbl 1382.81056
Giri, Pulak Ranjan; Korepin, Vladimir E.
3
2017
The density profile of the six vertex model with domain wall boundary conditions. Zbl 1457.82081
Lyberg, I.; Korepin, V.; Viti, J.
2
2017
Deformed fredkin spin chain with extensive entanglement. Zbl 1458.82010
Salberger, Olof; Udagawa, Takuma; Zhang, Zhao; Katsura, Hosho; Klich, Israel; Korepin, Vladimir
1
2017
Thermodynamic limit of the six-vertex model with reflecting end. Zbl 1320.81065
Ribeiro, G. A. P.; Korepin, V. E.
9
2015
Influence of boundary conditions on bulk properties of six-vertex model. Zbl 1332.82025
Tavares, T. S.; Ribeiro, G. A. P.; Korepin, V. E.
3
2015
Entanglement spectra of \(q\)-deformed higher spin VBS states. Zbl 1241.81109
Santos, Raul A.; Paraan, Francis N. C.; Korepin, Vladimir E.; Klümper, Andreas
3
2012
Entanglement of disjoint blocks in the one-dimensional spin-1 VBS. Zbl 1245.81013
Santos, Raul A.; Korepin, Vladimir E.
2
2012
Spectrum of the density matrix of a large block of spins of the \(XY\) model in one dimension. Zbl 1216.81027
Franchini, F.; Its, A. R.; Korepin, V. E.; Takhtajan, L. A.
4
2011
Entanglement in Valence-Bond-Solid states. Zbl 1197.82042
Korepin, Vladimir E.; Xu, Ying
6
2010
The one-dimensional Hubbard model. Reprint of the 2005 hardback ed. Zbl 1192.82029
Essler, Fabian H. L.; Frahm, Holger; Göhmann, Frank; Klümper, Andreas; Korepin, Vladimir E.
5
2010
Entanglement in valence-bond-solid states on symmetric graphs. Zbl 1193.82049
Katsura, Hosho; Kawashima, Naoki; Kirillov, Anatol N.; Korepin, Vladimir E.; Tanaka, Shu
2
2010
Generalized entropy of the Heisenberg spin chain. Zbl 1252.82027
Its, A. R.; Korepin, V. E.
2
2010
One-dimensional impenetrable anyons in thermal equilibrium. IV: Large time and distance asymptotic behavior of the correlation functions. Zbl 1186.81079
Pâţu, Ovidiu I.; Korepin, Vladimir E.; Averin, Dmitri V.
1
2010
The Fisher-Hartwig formula and entanglement entropy. Zbl 1183.82014
Its, A. R.; Korepin, V. E.
6
2009
Quantum search algorithms. Zbl 1187.81070
Korepin, Vladimir E.; Xu, Ying
3
2009
One-dimensional impenetrable anyons in thermal equilibrium. III: Large distance asymptotics of the space correlations. Zbl 1167.81024
Pâţu, Ovidiu I.; Korepin, Vladimir E.; Averin, Dmitri V.
1
2009
Renyi entropy of the XY spin chain. Zbl 1189.82024
Franchini, F.; Its, A. R.; Korepin, V. E.
18
2008
Entanglement and density matrix of a block of spins in AKLT model. Zbl 1161.82312
Xu, Ying; Katsura, Hosho; Hirano, Takaaki; Korepin, Vladimir E.
8
2008
Entanglement in an \(\mathrm{SU}(n)\) valence-bond-solid state. Zbl 1148.81006
Katsura, Hosho; Hirano, Takaaki; Korepin, Vladimir E.
7
2008
One-dimensional impenetrable anyons in thermal equilibrium. I: Anyonic generalization of Lenard’s formula. Zbl 1142.82024
Pâţu, Ovidiu I.; Korepin, Vladimir E.; Averin, Dmitri V.
2
2008
One-dimensional impenetrable anyons in thermal equilibrium: II. determinant representation for the dynamic correlation functions. Zbl 1152.81041
Pâţu, Ovidiu I.; Korepin, Vladimir E.; Averin, Dmitri V.
2
2008
Entanglement of the valence-bond-solid state on an arbitrary graph. Zbl 1157.82390
Xu, Ying; Korepin, Vladimir E.
1
2008
Block SPIN density matrix of the inhomogeneous AKLT model. Zbl 1160.81012
Xu, Ying; Katsura, Hosho; Hirano, Takaaki; Korepin, Vladimir E.
1
2008
Ellipses of constant entropy in the \(XY\) spin chain. Zbl 1117.82012
Franchini, F.; Its, A. R.; Jin, B-Q; Korepin, V. E.
11
2007
Entropy of \(XY\) spin chain and block Toeplitz determinants. Zbl 1118.81009
Its, A. R.; Jin, B.-Q.; Korepin, V. E.
10
2007
Hierarchical quantum search. Zbl 1141.81304
Korepin, Vladimir E.; Xu, Ying
5
2007
Quantum partial search of a database with several target items. Zbl 1134.81328
Choi, Byung-Soo; Korepin, Vladimir E.
4
2007
Correlation functions of one-dimensional Lieb-Liniger anyons. Zbl 1189.82015
Pâtu, Ovidiu I.; Korepin, Vladimir E.; Averin, Dmitri V.
1
2007
Simple algorithm for partial quantum search. Zbl 1119.81030
Korepin, Vladimir E.; Grover, Lov K.
10
2006
Group theoretical formulation of a quantum partial search algorithm. Zbl 1115.81326
Korepin, Vladimir E.; Vallilo, Brenno C.
5
2006
Quest for fast partial search algorithm. Zbl 1103.68043
Korepin, Vladimir E.; Liao, Jinfeng
5
2006
The one-dimensional Hubbard model. Zbl 1107.82014
Essler, Fabian H. L.; Frahm, Holger; Göhmann, Frank; Klümper, Andreas; Korepin, Vladimir E.
78
2005
Entanglement in the \(XY\) spin chain. Zbl 1112.82013
Its, A. R.; Jin, B. Q.; Korepin, V. E.
32
2005
Optimization of partial search. Zbl 1086.81024
Korepin, Vladimir E.
10
2005
Connecting lattice and relativistic models via conformal field theory. Zbl 1138.82306
Boos, H. E.; Korepin, V. E.; Smirnov, F. A.
4
2005
Quantum spin chain, Toeplitz determinants and the Fisher-Hartwig conjecture. Zbl 1142.82314
Jin, B.-Q.; Korepin, V. E.
69
2004
New formulae for solutions of quantum Knizhnik-Zamolodchikov equations on level-4. Zbl 1050.82015
Boos, Hermann; Korepin, Vladimir; Smirnov, Feodor
4
2004
New formulae for solutions to quantum Knizhnik-Zamolodchikov equations of level \(-4\) and correlation functions. Zbl 1154.82305
Boos, Hermann; Korepin, Vladimir; Smirnov, Feodor
2
2004
Emptiness formation probability and quantum Knizhnik-Zamolodchikov equation. Zbl 1080.82510
Boos, H. E.; Korepin, V. E.; Smirnov, F. A.
1
2004
Emptiness formation probability and quantum Knizhnik-Zamolodchikov equation. Zbl 1037.82007
Boos, H. E.; Korepin, V. E.; Smirnov, F. A.
12
2003
Asymptotic behavior of the emptiness formation probability in the critical phase of \(XXZ\) spin chain. Zbl 1050.82008
Korepin, V. E.; Lukyanov, S.; Nishiyama, Y.; Shiroishi, M.
8
2003
Inhomogeneous six-vertex model with domain wall boundary conditions and Bethe ansatz. Zbl 1060.82010
Korepin, V.; Zinn-Justin, P.
8
2002
Quantum correlations and number theory. Zbl 1066.82010
Boos, H. E.; Korepin, V. E.; Nishiyama, Y.; Shiroishi, M.
8
2002
Evaluation of integrals representing correlations in the \(XXX\) Heisenberg spin chain. Zbl 1010.82014
Boos, H. E.; Korepin, V. E.
7
2002
On the probability of ferromagnetic strings in antiferromagnetic spin chains. Zbl 1001.82023
Abanov, Alexander G.; Korepin, Vladimir E.
2
2002
A quantum version of the inverse scattering transformation. Zbl 0990.81137
Göhmann, F.; Korepin, V. E.
1
2002
Quantum spin chains and Riemann zeta function with odd arguments. Zbl 1059.82006
Boos, H. E.; Korepin, V. E.
16
2001
Six-vertex model with domain wall boundary conditions: variable inhomogeneities. Zbl 1051.82502
de Gier, J.; Korepin, V.
1
2001
Thermodynamic limit of the six-vertex model with domain wall boundary conditions. Zbl 0956.82008
Korepin, V.; Zinn-Justin, P.
60
2000
Solution of the quantum inverse problem. Zbl 0972.82036
Göhmann, F.; Korepin, V. E.
24
2000
Quantum inverse scattering method and correlation functions. Zbl 0966.35123
Korepin, V.; Slavnov, N.
4
2000
Form factors in the finite volume. Zbl 1229.82071
Korepin, V. E.; Slavnov, N. A.
6
1999
The Hubbard chain: Lieb-Wu equations and norm of the eigenfunctions. Zbl 0940.82016
Göhmann, F.; Korepin, V. E.
4
1999
The determinant representation for quantum correlation functions of the sinh-Gordon model. Zbl 0954.81048
Korepin, V. E.; Slavnov, N. A.
3
1998
A determinant representation for a correlation function of the scaling Lee-Yang model. Zbl 0952.82002
Korepin, Vladimir E.; Oota, Takeshi
1
1998
Determinant representation for dynamical correlation functions of the quantum nonlinear Schrödinger equation. Zbl 0886.35138
Kojima, T.; Korepin, V. E.; Slavnov, N. A.
17
1997
Completely integrable equation for the quantum correlation function of nonlinear Schrödinger equation. Zbl 0902.35107
Kojima, T.; Korepin, V. E.; Slavnov, N. A.
6
1997
The Riemann-Hilbert problem associated with the quantum nonlinear Schrödinger equation. Zbl 0928.35165
Korepin, V. E.; Slavnov, N. A.
2
1997
Normal ordering in the theory of correlation functions of exactly solvable models. Zbl 0928.35166
Korepin, Vladimir; Slavnov, Nikita
2
1997
Time and temperature dependent correlation functions of 1D models of quantum statistical mechanics. Zbl 0969.82501
Korepin, Vladimir; Slavnov, Nikita
1
1997
Exact solution of an electronic model of superconductivity. Zbl 1264.82179
Eßler, Fabian H. L.; Korepin, Vladimir E.; Schoutens, Kareljan
8
1996
Spectrum of low-lying excitations in a supersymmetric extended Hubbard model. Zbl 1264.82178
Eßler, Fabian H. L.; Korepin, Vladimir E.
8
1996
Painlevé transcendent describes quantum correlation function of the XXZ antiferromagnet away from the free-fermion point. Zbl 0904.34010
Essler, F. H. L.; Frahm, H.; Its, A. R.; Korepin, V. E.
2
1996
Scattering of plane waves in self-dual Yang-Mills theory. Zbl 0898.58062
Korepin, Vladimir E.; Oota, Takeshi
2
1996
Determinant representation for correlation functions of spin-1/2 XXX and XXZ Heisenberg magnets. Zbl 0839.47049
Eßler, Fabian H. L.; Frahm, Holger; Izergin, Anatoli G.; Korepin, Vladimir E.
11
1995
Integro-difference equation for a correlation function of the spin-\(\frac 12\) Heisenberg \(XXZ\) chain. Zbl 1009.82506
Essler, Fabian H. L.; Frahm, Holger; Its, Alexander R.; Korepin, Vladimir E.
7
1995
Exactly solvable models of strongly correlated electrons. Zbl 1066.82506
Korepin, Vladimir E.; Eßler, Fabian H. L.
16
1994
Correlation function of the spin-\(\frac 12 XXX\) antiferromagnet. Zbl 0959.82506
Korepin, Vladimir E.; Izergin, Anatoli G.; Essler, Fabian H. L.; Uglov, Denis B.
12
1994
The Yangian symmetry of the Hubbard model. Zbl 0959.82504
Uglov, D. B.; Korepin, V. E.
4
1994
The Yangian symmetry of the Hubbard model. Zbl 0894.17026
Uglov, D. B.; Korepin, V. E.
4
1994
\(\text{SU}(2)\times\text{SU}(2)\)-invariant scattering matrix of the Hubbard model. Zbl 1049.82512
Essler, Fabian H. L.; Korepin, Vladimir E.
3
1994
Differential equation for a correlation function of the spin-\(\frac12\) Heisenberg chain. Zbl 1049.82508
Frahm, Holger; Its, Alexander R.; Korepin, Vladimir E.
3
1994
The matrix Riemann-Hilbert problem and differential equation for correlation function of the \(XXO\) Heisenberg chain. Zbl 0836.35113
Izergin, A. G.; Its, A. R.; Korepin, V. E.; Slavnov, N. A.
2
1994
Quantum inverse scattering method and correlation functions. Zbl 0787.47006
Korepin, V. E.; Bogoliubov, N. M.; Izergin, A. G.
549
1993
Integrable differential equations for temperature correlation functions of the XXO Heisenberg chain. Zbl 0860.35120
Izergin, A. G.; Its, A. R.; Korepin, V. E.; Slavnov, N. A.
4
1993
The quantum correlation function as the \(\tau\) function of classical differential equations. Zbl 0814.35108
Its, A. R.; Izergin, A. G.; Korepin, V. E.; Slavnov, N. A.
4
1993
Integrable differential equations for temperature correlation functions of the Heisenberg XXO chain. Zbl 0810.35121
Izergin, A. G.; Its, A. R.; Korepin, V. E.; Slavnov, N. A.
3
1993
Determinant formula for the six-vertex model. Zbl 0764.60114
Izergin, A. G.; Coker, D. A.; Korepin, V. E.
60
1992
Large time and distance asymptotics of field correlation function of impenetrable bosons at finite temperature. Zbl 0800.35034
Its, A. R.; Izergin, A. G.; Korepin, V. E.; Varzugin, G. G.
11
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
New exactly solvable model of strongly correlated electrons motivated by high-\(t_ c\) superconductivity. Zbl 1054.82502
Essler, Fabian; Korepin, Vladimir; Schoutens, Kareljan
9
1992
New exactly solvable model of strongly correlated electrons motivated by high-\(T_c\) superconductivity. Zbl 0969.82569
Essler, Fabian H. L.; Korepin, Vladimir E.; Schoutens, Kareljan
8
1992
Correlation function of fields in one-dimensional Bose-gas. Zbl 0727.35130
Korepin, V. E.; Slavnov, N. A.
7
1991
Space correlations in one-dimensional impenetrable Bose gas at finite temperature. Zbl 0753.35093
Its, A. R.; Izergin, A. G.; Korepin, V. E.
4
1991
Time and temperature dependent correlation function of impenetrable Bose gas field correlator in the impenetrable Bose gas. Zbl 0743.35076
Its, A. R.; Izergin, A. G.; Korepin, V. E.
1
1991
Differential equations for quantum correlation functions. Zbl 0719.35091
Its, A. R.; Izergin, A. G.; Korepin, V. E.; Slavnov, N. A.
109
1990
The time dependent correlation function of an impenetrable Bose gas as a Fredholm minor. I. Zbl 0698.60095
Korepin, V. E.; Slavnov, N. A.
17
1990
Temperature correlators of the impenetrable Bose gas as an integrable system. Zbl 0698.60094
Its, A. R.; Izergin, A. G.; Korepin, V. E.
13
1990
Long-distance asymptotics of temperature correlators of the impenetrable Bose gas. Zbl 0702.76089
Its, A. R.; Izergin, A. G.; Korepin, V. E.
13
1990
Valance bond solid in quasicrystals. Zbl 0717.60118
Kirillov, A. N.; Korepin, V. E.
3
1990
Generating functional of correlation functions for the nonlinear Schrödinger equation. Zbl 0737.35116
Korepin, V. E.
17
1989
Norms of bound states. Zbl 0637.47004
Kirillov, A. N.; Korepin, V. E.
8
1988
Dual field formulation of quantum integrable models. Zbl 0629.58039
Korepin, V. E.
15
1987
Completely integrable models in quasicrystals. Zbl 0614.52009
Korepin, V. E.
3
1987
Quasi-periodic tilings and quasi-crystals. Zbl 0618.52012
Korepin, V. E.
1
1986
Correlation functions for the Heisenberg \(XXZ\)-antiferromagnet. Zbl 1094.82503
Izergin, A. G.; Korepin, V. E.
19
1985
...and 10 more Documents
all top 5

Cited by 1,133 Authors

44 Slavnov, Nikita A.
42 Korepin, Vladimir E.
39 Yang, Wenli
33 Bogolyubov, Nikolaĭ Mikhaĭlovich
28 Cao, Junpeng
27 Shi, Kangjie
23 Its, Alexander Rudolfovich
22 Pronko, Andrei G.
21 Kozlowski, Karol Kajetan
20 Ragoucy, Eric
20 Zhang, Yaozhong
19 Doikou, Anastasia
18 Wang, Yupeng
17 Hao, Kun
16 Lima-Santos, Antonio
16 Motegi, Kohei
16 Pozsgay, Balázs
15 Izergin, Anatoli G.
15 Maillet, Jean-Michel
14 Frahm, Holger
13 Calabrese, Pasquale
13 Galleas, Wellington
13 Kitanine, N. A.
13 Wheeler, Michael
12 Colomo, Filippo
12 Li, Guangliang
12 Terras, Véronique
11 Pakuliak, Stanislav Z.
10 Lukyanov, Sergei L.
10 Ribeiro, G. A. P.
9 Amico, Luigi
9 Bertola, Marco
9 Doyon, Benjamin
9 Foda, Omar
9 Guan, Xiwen
9 Piroli, Lorenzo
9 van Diejen, Jan Felipe
8 Bazhanov, Vladimir V.
8 Bothner, Thomas
8 Emsiz, Erdal
8 Göhmann, Frank
8 Gould, Mark D.
8 Nepomechie, Rafael I.
8 Saleur, Hubert
8 Varchenko, Alexander Nikolaevich
8 Xue, Kang
8 Zhou, Huanqiang
7 Bleher, Pavel M.
7 Borodin, Alexei
7 Cafasso, Mattia
7 Castro-Alvaredo, Olalla A.
7 Crampé, Nicolas
7 de Leeuw, Marius
7 Essler, Fabian H. L.
7 Tarasov, Vitaly Olegovich
7 Widom, Harold
6 Belliard, Samuel
6 Boos, Herman E.
6 Caux, Jean-Sébastien
6 Deift, Percy A.
6 Di Francesco, Philippe
6 Ge, Molin
6 Gromov, Nikolay A.
6 Jiang, Yunfeng
6 Kulish, Petr Petrovich
6 Links, Jon Robert
6 Osterloh, Andreas
6 Sierra, Germán
6 Tracy, Craig Arnold
6 Trombettoni, Andrea
6 Yang, Tao
6 Zabrodin, Anton V.
6 Zhao, Shaoyou
6 Zinn-Justin, Paul
6 Zuparic, Mathew L.
5 Ares, Filiberto
5 Basu-Mallick, Bireswar
5 Belitsky, Andrei V.
5 Bullough, Robin K.
5 Corwin, Ivan Z.
5 Derkachëv, Sergeĭ Èduardovich
5 Doliwa, Adam
5 Foerster, Angela
5 Frappat, Luc
5 Jimbo, Michio
5 Klümper, Andreas
5 Komatsu, Shota
5 Korchemsky, Gregory P.
5 Kristjansen, Charlotte F.
5 Liechty, Karl
5 Mukhin, Evgeny
5 Nachtergaele, Bruno
5 Panfil, Miłosz
5 Reshetikhin, Nikolai Yu.
5 Strahov, Eugene
5 Szécsényi, István M.
5 Tateo, Roberto
5 Xu, Xiaotian
5 Xu, Ying
5 Yang, Zhanying
...and 1,033 more Authors
all top 5

Cited in 112 Serials

233 Nuclear Physics. B
109 Journal of Statistical Mechanics: Theory and Experiment
79 Communications in Mathematical Physics
72 Journal of High Energy Physics
61 Journal of Mathematical Physics
48 Theoretical and Mathematical Physics
37 Physics Letters. A
34 Journal of Mathematical Sciences (New York)
28 Journal of Statistical Physics
25 Letters in Mathematical Physics
23 Quantum Information Processing
22 Journal of Physics A: Mathematical and Theoretical
18 International Journal of Modern Physics B
16 Physica D
15 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
13 International Journal of Theoretical Physics
13 Advances in Mathematics
13 Annals of Physics
12 Journal of Soviet Mathematics
11 New Journal of Physics
7 International Journal of Modern Physics A
7 Physics Letters. B
7 Annales Henri Poincaré
6 Nonlinearity
6 Chaos, Solitons and Fractals
6 Functional Analysis and its Applications
6 Journal of Combinatorial Theory. Series A
6 Physical Review Letters
5 Physics Reports
5 Reviews in Mathematical Physics
5 Journal of Geometry and Physics
5 Journal of Approximation Theory
5 Advances in Applied Mathematics
5 St. Petersburg Mathematical Journal
5 International Journal of Quantum Information
4 Communications on Pure and Applied Mathematics
4 Reports on Mathematical Physics
4 Duke Mathematical Journal
4 Inventiones Mathematicae
4 Acta Applicandae Mathematicae
4 Journal of Algebraic Combinatorics
4 Random Matrices: Theory and Applications
3 Reviews of Modern Physics
3 Mathematische Annalen
3 Constructive Approximation
3 Bulletin of the American Mathematical Society. New Series
3 Mathematical Physics, Analysis and Geometry
3 Physical Review A, Third Series
3 Analysis and Mathematical Physics
2 Modern Physics Letters B
2 Computers & Mathematics with Applications
2 The Annals of Probability
2 Applied Mathematics and Computation
2 Journal of Functional Analysis
2 Siberian Mathematical Journal
2 Science in China. Series A
2 SIAM Journal on Mathematical Analysis
2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
2 The Electronic Journal of Combinatorics
2 Selecta Mathematica. New Series
2 Doklady Mathematics
2 Open Systems & Information Dynamics
2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 International Journal of Geometric Methods in Modern Physics
2 Proceedings of the Steklov Institute of Mathematics
2 Advances in Mathematical Physics
2 Probability Surveys
1 Modern Physics Letters A
1 Bulletin of the Australian Mathematical Society
1 Discrete Mathematics
1 General Relativity and Gravitation
1 Journal of Computational Physics
1 Physica A
1 Acta Mathematica
1 Annales de l’Institut Fourier
1 Collectanea Mathematica
1 Compositio Mathematica
1 Publications Mathématiques
1 Integral Equations and Operator Theory
1 Journal of Computational and Applied Mathematics
1 Proceedings of the Japan Academy. Series A
1 Transactions of the American Mathematical Society
1 Combinatorica
1 Journal of Symbolic Computation
1 Probability Theory and Related Fields
1 Information and Computation
1 SIAM Journal on Matrix Analysis and Applications
1 The Annals of Applied Probability
1 Indagationes Mathematicae. New Series
1 SIAM Journal on Scientific Computing
1 Integral Transforms and Special Functions
1 Complexity
1 Journal of Mathematical Chemistry
1 Representation Theory
1 The Ramanujan Journal
1 Nonlinear Dynamics
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Gravitation & Cosmology
1 Journal of Nonlinear Mathematical Physics
1 Physical Review D. Series III
...and 12 more Serials
all top 5

Cited in 54 Fields

694 Statistical mechanics, structure of matter (82-XX)
584 Quantum theory (81-XX)
108 Partial differential equations (35-XX)
88 Nonassociative rings and algebras (17-XX)
80 Dynamical systems and ergodic theory (37-XX)
70 Combinatorics (05-XX)
67 Probability theory and stochastic processes (60-XX)
62 Special functions (33-XX)
55 Associative rings and algebras (16-XX)
53 Linear and multilinear algebra; matrix theory (15-XX)
34 Operator theory (47-XX)
32 Ordinary differential equations (34-XX)
28 Algebraic geometry (14-XX)
24 Relativity and gravitational theory (83-XX)
21 Information and communication theory, circuits (94-XX)
18 Group theory and generalizations (20-XX)
18 Numerical analysis (65-XX)
18 Computer science (68-XX)
15 Functions of a complex variable (30-XX)
15 Mechanics of particles and systems (70-XX)
14 Integral equations (45-XX)
13 Several complex variables and analytic spaces (32-XX)
11 Global analysis, analysis on manifolds (58-XX)
10 Topological groups, Lie groups (22-XX)
9 Difference and functional equations (39-XX)
9 Convex and discrete geometry (52-XX)
8 Functional analysis (46-XX)
8 Statistics (62-XX)
7 Differential geometry (53-XX)
6 History and biography (01-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Integral transforms, operational calculus (44-XX)
6 Fluid mechanics (76-XX)
5 Number theory (11-XX)
5 Approximations and expansions (41-XX)
4 Geometry (51-XX)
3 General and overarching topics; collections (00-XX)
3 Commutative algebra (13-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 Field theory and polynomials (12-XX)
2 \(K\)-theory (19-XX)
2 Real functions (26-XX)
2 Measure and integration (28-XX)
2 Sequences, series, summability (40-XX)
2 Abstract harmonic analysis (43-XX)
2 Manifolds and cell complexes (57-XX)
2 Optics, electromagnetic theory (78-XX)
2 Operations research, mathematical programming (90-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Category theory; homological algebra (18-XX)
1 Mechanics of deformable solids (74-XX)
1 Astronomy and astrophysics (85-XX)
1 Biology and other natural sciences (92-XX)

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