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Perelomov, Askold M.

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Author ID: perelomov.askold-m Recent zbMATH articles by "Perelomov, Askold M."
Published as: Perelomov, A. M.; Perelomov, Askold M.; Perelomov, A.
Documents Indexed: 108 Publications since 1965, including 5 Books
Co-Authors: 43 Co-Authors with 71 Joint Publications
1,219 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

81 Publications have been cited 1,677 times in 1,467 Documents Cited by Year
Generalized coherent states and their applications. Zbl 0605.22013
Perelomov, A.
559
1986
Coherent states for arbitrary Lie group. Zbl 0243.22016
Perelomov, A. M.
234
1972
Integrable systems of classical mechanics and Lie algebras. (Интегрируемые системы классической механики и алгебры Ли.) Zbl 0717.70003
Perelomov, A. M.
152
1990
Completely integrable Hamiltonian systems connected with semisimple Lie algebras. Zbl 0342.58017
Olshanetsky, M. A.; Perelomov, A. M.
79
1976
Two-dimensional generalized Toda lattice. Zbl 0491.35061
Mikhajlov, A. V.; Olshanetskij, M. A.; Perelomov, A. M.
74
1981
A quantum exactly solvable nonlinear oscillator related to the isotonic oscillator. Zbl 1138.81380
Cariñena, J. F.; Perelomov, A. M.; Rañada, M. F.; Santander, M.
39
2008
Invariant Kähler-Einstein metrics on compact homogeneous spaces. Zbl 0641.53050
Alekseevskii, D. V.; Perelomov, A. M.
39
1986
Quantum completely integrable systems connected with semi-simple Lie algebras. Zbl 0366.58005
Olshanetsky, M. A.; Perelomov, A. M.
38
1977
Poisson structures: Towards a classification. Zbl 1020.37529
Grabowski, J.; Marmo, G.; Perelomov, A. M.
32
1993
Explicit solutions of classical generalized Toda models. Zbl 0419.58008
Olshanetsky, M. A.; Perelomov, A. M.
31
1979
Quasi-exactly-solvable quantal problems: one-dimensional analogue of rational conformal field theories. Zbl 0709.58048
Morozov, A. Yu.; Perelomov, A. M.; Roslyĭ, A. A.; Shifman, M. A.; Turbiner, A. V.
30
1990
Generalized coherent states and their applications. (Обобщенные когерентные состояния и их применения.) Zbl 0672.22019
Perelomov, A. M.
28
1987
The Schouten-Nijenhuis bracket, cohomology and generalized Poisson structures. Zbl 0898.58026
de Azcárraga, J. A.; Perelomov, A. M.; Pérez Bueno, J. C.
19
1996
Related operators and exact solutions of Schrödinger equations. Zbl 0927.34065
Cariñena, J. F.; Marmo, G.; Perelomov, A. M.; Rañada, M. F.
17
1998
Completely integrable classical systems connected with semisimple Lie algebras. Zbl 0343.70010
Olshanetsky, M. A.; Perelomov, A. M.
17
1976
Quantum systems related to root systems, and radial parts of Laplace operators. Zbl 0407.43012
Ol’shanetskij, M. A.; Perelomov, A. M.
16
1978
Casimir operators for semisimple Lie groups. Zbl 0197.30404
Perelomov, A. M.; Popov, V. S.
15
1970
Description of a class of superstring compactifications related to semi- simple Lie algebras. Zbl 0628.53065
Markushevich, D. G.; Olshanetskij, M. A.; Perelomov, A. M.
13
1987
Some remarks on the integrability of the equations of motion of a rigid body in an ideal fluid. Zbl 0495.70016
Perelomov, A. M.
12
1981
Nonlocal integrable partners to generalized MKdV and two-dimensional Toda lattice equation in the formalism of a dressing method with quantized spectral parameter. Zbl 0739.35090
Degasperis, A.; Lebedev, D.; Olshanetskii, M.; Pakulyak, S.; Perelomov, A.; Santini, P.
10
1991
Integrable systems of classical mechanics and Lie algebras. Volume I. Transl. from the Russian by A. G. Reyman. Zbl 0699.70003
Perelomov, A. M.
10
1990
On the geometry of Lie algebras and Poisson tensors. Zbl 0847.58025
Cariñena, J. F.; Ibort, A.; Marmo, G.; Perelomov, A.
10
1994
Quantum integrable systems and Clebsch-Gordan series. I. Zbl 0956.81093
Perelomov, A. M.
9
1998
Some Diophantine relations involving circular functions of rational angles. Zbl 0399.15006
Calogero, F.; Perelomov, A. M.
9
1979
New generalized Poisson structures. Zbl 0912.53019
de Azcárraga, J. A.; Perelomov, A. M.; Pérez Bueno, J. C.
8
1996
Lax representation for the systems of S. Kovalevskaya type. Zbl 0478.70005
Perelomov, A. M.
8
1981
Quantum mechanics: selected topics. Zbl 0916.00004
Perelomov, Askold M.; Zel’dovich, Yakov B.
8
1998
On the explicit solutions of the elliptic Calogero system. Zbl 0952.37017
Gavrilov, L.; Perelomov, A. M.
7
1999
Quantum integrable systems and Clebsch-Gordan series. II. Zbl 0976.33006
Perelomov, A. M.
7
1999
Berry phase in homogeneous Kähler manifolds with linear Hamiltonians. Zbl 1019.81021
Boya, Luis J.; Perelomov, Askold M.; Santander, Mariano
7
2001
Poisson and symplectic structures on Lie algebras. I. Zbl 0874.22018
Alekseevsky, D. V.; Perelomov, A. M.
6
1997
An elementary construction of lowering and raising operators for the trigonometric Calogero-Sutherland model. Zbl 1098.81789
García Fuertes, W.; Lorente, M.; Perelomov, A. M.
6
2001
Explicit solution of the quantum three-body Calogero-Sutherland model. Zbl 0964.33006
Perelomov, A. M.; Ragoucy, E.; Zaugg, Ph.
6
1998
Instantons and Kähler manifolds. Zbl 0406.58007
Perelomov, A. M.
6
1978
On an approach for computing the generating functions of the characters of simple Lie algebras. Zbl 1287.81057
Fernández Núñez, José; García Fuertes, Wifredo; Perelomov, Askold M.
6
2014
Derivatives of generalized Gegenbauer polynomials. Zbl 1053.33008
García Fuertes, W.; Perelomov, A. M.
5
2002
A perturbative approach to the quantum elliptic Calogero-Sutherland model. Zbl 1006.81023
Fernández Núñez, J.; García Fuertes, W.; Perelomov, A. M.
5
2003
On a problem posed by Pauli. Zbl 0856.46049
Moroz, B. Z.; Perelomov, A. M.
5
1994
Instanton-like solutions in chiral models. Zbl 1194.35349
Perelomov, A. M.
5
1981
On the generating function of weight multiplicities for the representations of the Lie algebra \(C_2\). Zbl 1387.17018
Fernández-Núñez, José; García-Fuertes, Wifredo; Perelomov, Askold M.
5
2015
Irreducible characters and Clebsch-Gordan series for the exceptional algebra \(E_6\): an approach through the quantum Calogero-Sutherland model. Zbl 1362.81044
Fernández-Núñez, J.; Garcia-Fuertes, W.; Perelomov, A. M.
5
2005
The \(Z_ 2\)-graded Schouten-Nijenhuis bracket and generalized super-Poisson structures. Zbl 0883.58007
de Azcárraga, J. A.; Izquierdo, J. M.; Perelomov, A. M.; Pérez-Bueno, J. C.
4
1997
Generalized intermediate long-wave hierarchy in zero-curvature representation with noncommutative spectral parameter. Zbl 0761.35094
Degasperis, A.; Lebedev, D.; Olshanetsky, M.; Pakuliak, S.; Perelomov, A.; Santini, P. M.
4
1992
On the completeness of some subsystems of \(q\)-deformed coherent states. Zbl 0848.17013
Perelomov, A. M.
4
1995
Construction of canonical coordinates on polarized coadjoint orbits of Lie groups. Zbl 0578.58016
Kamalin, S. A.; Perelomov, A. M.
4
1985
Coherent states for the Lobachevskian plane. Zbl 0295.22021
Perelomov, A. M.
4
1974
Relations between hyperelliptic integrals. Zbl 1020.14504
Pakuliak, S.; Perelomov, A.
3
1994
Some results on the eigenfunctions of the quantum trigonometric Calogero-Sutherland model related to the Lie algebra \(D_4\). Zbl 1062.81081
Fernández-Núñez, J.; García Fuertes, W.; Perelomov, A. M.
3
2003
Remarks on Virasoro and Kac-Moody algebras. Zbl 1044.17506
Grabowski, J.; Marmo, G.; Perelomov, A.; Simoni, A.
3
1996
Hypergeometric solutions of some algebraic equations. Zbl 1178.33013
Perelomov, A. M.
3
2004
Integrable systems and Lie algebras. Zbl 0592.70012
Ol’shanetskij, M. A.; Perelomov, A. M.
3
1982
Group-theoretical interpretation of the Korteweg-de Vries type equations. Zbl 0429.35062
Berezin, F. A.; Perelomov, A. M.
3
1980
Casimir operators for classical groups. Zbl 0256.20056
Perelomov, A. M.; Popov, V. S.
3
1967
Generating functions and multiplicity formulas: the case of rank two simple Lie algebras. Zbl 1357.17011
Fernández Núñez, José; García Fuertes, Wifredo; Perelomov, Askold M.
3
2015
Classical integrable systems: selected topics. Zbl 1078.81034
Perelomov, A. M.
2
2002
Motion of four-dimensional rigid body around a fixed point: an elementary approach. I. Zbl 1078.70007
Perelomov, A. M.
2
2005
Isoperiodic classical systems and their quantum counterparts. Zbl 1114.81034
Asorey, M.; Cariñena, J. F.; Marmo, G.; Perelomov, A.
2
2007
Explicit solutions of some completely integrable Hamiltonian systems. Zbl 0369.58013
Ol’saneckii, M. A.; Perelomov, A. M.
2
1977
Equilibrium configurations and small oscillations of some dynamical systems. Zbl 0427.70024
Perelomov, A. M.
2
1978
Coherent states and bounded homogeneous domains. Zbl 0308.32022
Monastyrskij, M. I.; Perelomov, A. M.
2
1974
Coherent states and symmetric spaces. Zbl 0324.22010
Perelomov, A. M.
2
1975
Coherent states and symmetric spaces. II. Zbl 0339.22017
Monastyrsky, M. I.; Perelomov, A. M.
2
1975
On the functional equation related to the quantum three-body problem. Zbl 0857.39013
Buchstaber, V. M.; Perelomov, A. M.
2
1996
Kovalevskaya top: An elementary approach. Zbl 1042.70005
Perelomov, A. M.
1
2002
A note on geodesics on an ellipsoid. Zbl 0947.70011
Perelomov, A. M.
1
2000
Euler’s triangle and the decomposition of tensor powers of the adjoint \(\mathfrak{sl}(2)\)-module. Zbl 1436.17013
Perelomov, Askold M.
1
2020
Generating functions for characters and weight multiplicities of irreducible \(\mathfrak{sl}(4)\)-modules. Zbl 1417.81136
Ferńandez Núñez, José; García Fuertes, Wifredo; Perelomov, Askold M.
1
2018
On construction of canonical coordinates on orbits of a coadjoint representation of graded Lie groups. Zbl 0561.22007
Kamalin, S. A.; Perelomov, A. M.
1
1984
Some examples of algebraic geodesics on quadrics. Zbl 1168.53023
Perelomov, A. M.
1
2009
Explicit computations of low-lying eigenfunctions for the quantum trigonometric Calogero-Sutherland model related to the exceptional algebra \(E _{7}\). Zbl 1163.81006
Fernández Núñez, J.; García Fuertes, W.; Perelomov, A. M.
1
2008
Some results on the eigenfunctions of the quantum trigonometric Calogero-Sutherland model related to the Lie algebra \(E_{6}\). Zbl 1110.81102
Fernández Núñez, J.; García Fuertes, W.; Perelomov, A. M.
1
2005
Quantum trigonometric Calogero-Sutherland model, irreducible characters and Clebsch-Gordan series for the exceptional algebra \(E_7\). Zbl 1111.81085
Fernández Núñeez, J.; García Fuertes, W.; Perelomov, A. M.
1
2005
On the connection of matrix elements of the SU(1,1) discrete series representations with SU(2) matrix elements. Zbl 0237.22016
Perelomov, A. M.
1
1971
Integrability of two interacting \(n\)-dimensional rigid bodies. Zbl 0596.58019
Perelomov, A. M.; Ragnisco, O.; Wojciechowski, S.
1
1986
The simple relation between certain dynamical systems. Zbl 0435.70013
Perelomov, A. M.
1
1978
Group theoretic interpretation of equations of Korteweg-de Vries type. Zbl 0477.35078
Berezin, F. A.; Perelomov, A. M.
1
1980
Generating function for Casimir operators. Zbl 0254.22010
Popov, V. S.; Perelomov, A. M.
1
1967
Coherent states and bounded homogeneous domains. Zbl 0294.32019
Monastyrskij, M. I.; Perelomov, A. M.
1
1972
Schrödinger equation spectrum and Korteweg-de Vries type invariants. Zbl 0323.35023
Perelomov, A. M.
1
1976
Geodesic flows on symmetric spaces of zero curvature and explicit solution of the generalized Calogero model for the classical case. Zbl 0348.53030
Ol’saneckii, M. A.; Perelomov, A. M.
1
1977
Casimir operators for the orthogonal and symplectic groups. Zbl 0154.46402
Perelomov, A. M.; Popov, V. S.
1
1965
Euler’s triangle and the decomposition of tensor powers of the adjoint \(\mathfrak{sl}(2)\)-module. Zbl 1436.17013
Perelomov, Askold M.
1
2020
Generating functions for characters and weight multiplicities of irreducible \(\mathfrak{sl}(4)\)-modules. Zbl 1417.81136
Ferńandez Núñez, José; García Fuertes, Wifredo; Perelomov, Askold M.
1
2018
On the generating function of weight multiplicities for the representations of the Lie algebra \(C_2\). Zbl 1387.17018
Fernández-Núñez, José; García-Fuertes, Wifredo; Perelomov, Askold M.
5
2015
Generating functions and multiplicity formulas: the case of rank two simple Lie algebras. Zbl 1357.17011
Fernández Núñez, José; García Fuertes, Wifredo; Perelomov, Askold M.
3
2015
On an approach for computing the generating functions of the characters of simple Lie algebras. Zbl 1287.81057
Fernández Núñez, José; García Fuertes, Wifredo; Perelomov, Askold M.
6
2014
Some examples of algebraic geodesics on quadrics. Zbl 1168.53023
Perelomov, A. M.
1
2009
A quantum exactly solvable nonlinear oscillator related to the isotonic oscillator. Zbl 1138.81380
Cariñena, J. F.; Perelomov, A. M.; Rañada, M. F.; Santander, M.
39
2008
Explicit computations of low-lying eigenfunctions for the quantum trigonometric Calogero-Sutherland model related to the exceptional algebra \(E _{7}\). Zbl 1163.81006
Fernández Núñez, J.; García Fuertes, W.; Perelomov, A. M.
1
2008
Isoperiodic classical systems and their quantum counterparts. Zbl 1114.81034
Asorey, M.; Cariñena, J. F.; Marmo, G.; Perelomov, A.
2
2007
Irreducible characters and Clebsch-Gordan series for the exceptional algebra \(E_6\): an approach through the quantum Calogero-Sutherland model. Zbl 1362.81044
Fernández-Núñez, J.; Garcia-Fuertes, W.; Perelomov, A. M.
5
2005
Motion of four-dimensional rigid body around a fixed point: an elementary approach. I. Zbl 1078.70007
Perelomov, A. M.
2
2005
Some results on the eigenfunctions of the quantum trigonometric Calogero-Sutherland model related to the Lie algebra \(E_{6}\). Zbl 1110.81102
Fernández Núñez, J.; García Fuertes, W.; Perelomov, A. M.
1
2005
Quantum trigonometric Calogero-Sutherland model, irreducible characters and Clebsch-Gordan series for the exceptional algebra \(E_7\). Zbl 1111.81085
Fernández Núñeez, J.; García Fuertes, W.; Perelomov, A. M.
1
2005
Hypergeometric solutions of some algebraic equations. Zbl 1178.33013
Perelomov, A. M.
3
2004
A perturbative approach to the quantum elliptic Calogero-Sutherland model. Zbl 1006.81023
Fernández Núñez, J.; García Fuertes, W.; Perelomov, A. M.
5
2003
Some results on the eigenfunctions of the quantum trigonometric Calogero-Sutherland model related to the Lie algebra \(D_4\). Zbl 1062.81081
Fernández-Núñez, J.; García Fuertes, W.; Perelomov, A. M.
3
2003
Derivatives of generalized Gegenbauer polynomials. Zbl 1053.33008
García Fuertes, W.; Perelomov, A. M.
5
2002
Classical integrable systems: selected topics. Zbl 1078.81034
Perelomov, A. M.
2
2002
Kovalevskaya top: An elementary approach. Zbl 1042.70005
Perelomov, A. M.
1
2002
Berry phase in homogeneous Kähler manifolds with linear Hamiltonians. Zbl 1019.81021
Boya, Luis J.; Perelomov, Askold M.; Santander, Mariano
7
2001
An elementary construction of lowering and raising operators for the trigonometric Calogero-Sutherland model. Zbl 1098.81789
García Fuertes, W.; Lorente, M.; Perelomov, A. M.
6
2001
A note on geodesics on an ellipsoid. Zbl 0947.70011
Perelomov, A. M.
1
2000
On the explicit solutions of the elliptic Calogero system. Zbl 0952.37017
Gavrilov, L.; Perelomov, A. M.
7
1999
Quantum integrable systems and Clebsch-Gordan series. II. Zbl 0976.33006
Perelomov, A. M.
7
1999
Related operators and exact solutions of Schrödinger equations. Zbl 0927.34065
Cariñena, J. F.; Marmo, G.; Perelomov, A. M.; Rañada, M. F.
17
1998
Quantum integrable systems and Clebsch-Gordan series. I. Zbl 0956.81093
Perelomov, A. M.
9
1998
Quantum mechanics: selected topics. Zbl 0916.00004
Perelomov, Askold M.; Zel’dovich, Yakov B.
8
1998
Explicit solution of the quantum three-body Calogero-Sutherland model. Zbl 0964.33006
Perelomov, A. M.; Ragoucy, E.; Zaugg, Ph.
6
1998
Poisson and symplectic structures on Lie algebras. I. Zbl 0874.22018
Alekseevsky, D. V.; Perelomov, A. M.
6
1997
The \(Z_ 2\)-graded Schouten-Nijenhuis bracket and generalized super-Poisson structures. Zbl 0883.58007
de Azcárraga, J. A.; Izquierdo, J. M.; Perelomov, A. M.; Pérez-Bueno, J. C.
4
1997
The Schouten-Nijenhuis bracket, cohomology and generalized Poisson structures. Zbl 0898.58026
de Azcárraga, J. A.; Perelomov, A. M.; Pérez Bueno, J. C.
19
1996
New generalized Poisson structures. Zbl 0912.53019
de Azcárraga, J. A.; Perelomov, A. M.; Pérez Bueno, J. C.
8
1996
Remarks on Virasoro and Kac-Moody algebras. Zbl 1044.17506
Grabowski, J.; Marmo, G.; Perelomov, A.; Simoni, A.
3
1996
On the functional equation related to the quantum three-body problem. Zbl 0857.39013
Buchstaber, V. M.; Perelomov, A. M.
2
1996
On the completeness of some subsystems of \(q\)-deformed coherent states. Zbl 0848.17013
Perelomov, A. M.
4
1995
On the geometry of Lie algebras and Poisson tensors. Zbl 0847.58025
Cariñena, J. F.; Ibort, A.; Marmo, G.; Perelomov, A.
10
1994
On a problem posed by Pauli. Zbl 0856.46049
Moroz, B. Z.; Perelomov, A. M.
5
1994
Relations between hyperelliptic integrals. Zbl 1020.14504
Pakuliak, S.; Perelomov, A.
3
1994
Poisson structures: Towards a classification. Zbl 1020.37529
Grabowski, J.; Marmo, G.; Perelomov, A. M.
32
1993
Generalized intermediate long-wave hierarchy in zero-curvature representation with noncommutative spectral parameter. Zbl 0761.35094
Degasperis, A.; Lebedev, D.; Olshanetsky, M.; Pakuliak, S.; Perelomov, A.; Santini, P. M.
4
1992
Nonlocal integrable partners to generalized MKdV and two-dimensional Toda lattice equation in the formalism of a dressing method with quantized spectral parameter. Zbl 0739.35090
Degasperis, A.; Lebedev, D.; Olshanetskii, M.; Pakulyak, S.; Perelomov, A.; Santini, P.
10
1991
Integrable systems of classical mechanics and Lie algebras. (Интегрируемые системы классической механики и алгебры Ли.) Zbl 0717.70003
Perelomov, A. M.
152
1990
Quasi-exactly-solvable quantal problems: one-dimensional analogue of rational conformal field theories. Zbl 0709.58048
Morozov, A. Yu.; Perelomov, A. M.; Roslyĭ, A. A.; Shifman, M. A.; Turbiner, A. V.
30
1990
Integrable systems of classical mechanics and Lie algebras. Volume I. Transl. from the Russian by A. G. Reyman. Zbl 0699.70003
Perelomov, A. M.
10
1990
Generalized coherent states and their applications. (Обобщенные когерентные состояния и их применения.) Zbl 0672.22019
Perelomov, A. M.
28
1987
Description of a class of superstring compactifications related to semi- simple Lie algebras. Zbl 0628.53065
Markushevich, D. G.; Olshanetskij, M. A.; Perelomov, A. M.
13
1987
Generalized coherent states and their applications. Zbl 0605.22013
Perelomov, A.
559
1986
Invariant Kähler-Einstein metrics on compact homogeneous spaces. Zbl 0641.53050
Alekseevskii, D. V.; Perelomov, A. M.
39
1986
Integrability of two interacting \(n\)-dimensional rigid bodies. Zbl 0596.58019
Perelomov, A. M.; Ragnisco, O.; Wojciechowski, S.
1
1986
Construction of canonical coordinates on polarized coadjoint orbits of Lie groups. Zbl 0578.58016
Kamalin, S. A.; Perelomov, A. M.
4
1985
On construction of canonical coordinates on orbits of a coadjoint representation of graded Lie groups. Zbl 0561.22007
Kamalin, S. A.; Perelomov, A. M.
1
1984
Integrable systems and Lie algebras. Zbl 0592.70012
Ol’shanetskij, M. A.; Perelomov, A. M.
3
1982
Two-dimensional generalized Toda lattice. Zbl 0491.35061
Mikhajlov, A. V.; Olshanetskij, M. A.; Perelomov, A. M.
74
1981
Some remarks on the integrability of the equations of motion of a rigid body in an ideal fluid. Zbl 0495.70016
Perelomov, A. M.
12
1981
Lax representation for the systems of S. Kovalevskaya type. Zbl 0478.70005
Perelomov, A. M.
8
1981
Instanton-like solutions in chiral models. Zbl 1194.35349
Perelomov, A. M.
5
1981
Group-theoretical interpretation of the Korteweg-de Vries type equations. Zbl 0429.35062
Berezin, F. A.; Perelomov, A. M.
3
1980
Group theoretic interpretation of equations of Korteweg-de Vries type. Zbl 0477.35078
Berezin, F. A.; Perelomov, A. M.
1
1980
Explicit solutions of classical generalized Toda models. Zbl 0419.58008
Olshanetsky, M. A.; Perelomov, A. M.
31
1979
Some Diophantine relations involving circular functions of rational angles. Zbl 0399.15006
Calogero, F.; Perelomov, A. M.
9
1979
Quantum systems related to root systems, and radial parts of Laplace operators. Zbl 0407.43012
Ol’shanetskij, M. A.; Perelomov, A. M.
16
1978
Instantons and Kähler manifolds. Zbl 0406.58007
Perelomov, A. M.
6
1978
Equilibrium configurations and small oscillations of some dynamical systems. Zbl 0427.70024
Perelomov, A. M.
2
1978
The simple relation between certain dynamical systems. Zbl 0435.70013
Perelomov, A. M.
1
1978
Quantum completely integrable systems connected with semi-simple Lie algebras. Zbl 0366.58005
Olshanetsky, M. A.; Perelomov, A. M.
38
1977
Explicit solutions of some completely integrable Hamiltonian systems. Zbl 0369.58013
Ol’saneckii, M. A.; Perelomov, A. M.
2
1977
Geodesic flows on symmetric spaces of zero curvature and explicit solution of the generalized Calogero model for the classical case. Zbl 0348.53030
Ol’saneckii, M. A.; Perelomov, A. M.
1
1977
Completely integrable Hamiltonian systems connected with semisimple Lie algebras. Zbl 0342.58017
Olshanetsky, M. A.; Perelomov, A. M.
79
1976
Completely integrable classical systems connected with semisimple Lie algebras. Zbl 0343.70010
Olshanetsky, M. A.; Perelomov, A. M.
17
1976
Schrödinger equation spectrum and Korteweg-de Vries type invariants. Zbl 0323.35023
Perelomov, A. M.
1
1976
Coherent states and symmetric spaces. Zbl 0324.22010
Perelomov, A. M.
2
1975
Coherent states and symmetric spaces. II. Zbl 0339.22017
Monastyrsky, M. I.; Perelomov, A. M.
2
1975
Coherent states for the Lobachevskian plane. Zbl 0295.22021
Perelomov, A. M.
4
1974
Coherent states and bounded homogeneous domains. Zbl 0308.32022
Monastyrskij, M. I.; Perelomov, A. M.
2
1974
Coherent states for arbitrary Lie group. Zbl 0243.22016
Perelomov, A. M.
234
1972
Coherent states and bounded homogeneous domains. Zbl 0294.32019
Monastyrskij, M. I.; Perelomov, A. M.
1
1972
On the connection of matrix elements of the SU(1,1) discrete series representations with SU(2) matrix elements. Zbl 0237.22016
Perelomov, A. M.
1
1971
Casimir operators for semisimple Lie groups. Zbl 0197.30404
Perelomov, A. M.; Popov, V. S.
15
1970
Casimir operators for classical groups. Zbl 0256.20056
Perelomov, A. M.; Popov, V. S.
3
1967
Generating function for Casimir operators. Zbl 0254.22010
Popov, V. S.; Perelomov, A. M.
1
1967
Casimir operators for the orthogonal and symplectic groups. Zbl 0154.46402
Perelomov, A. M.; Popov, V. S.
1
1965
all top 5

Cited by 1,762 Authors

28 Perelomov, Askold M.
17 Hassouni, Yassine
14 Veselov, Alexander Petrovich
12 Olshanetsky, Mikhail A.
11 Arvanitoyeorgos, Andreas
11 Berrada, K.
11 Halpern, Martin B.
11 Marmo, Giuseppe
11 Ojeda-Guillén, D.
11 Pusztai, Béla Gábor
10 Chrysikos, Ioannis
10 Damianou, Pantelis Andrea
10 Fehér, László Gy.
10 García Fuertes, Wilfredo
10 Gazeau, Jean-Pierre
10 Mouayn, Zouhaïr
9 Calixto, Manuel
9 Dong, Shihai
9 Fakhri, Hossein
9 Granados, Victor D.
9 Ivashchuk, Vladimir D.
9 Mota, Roberto D.
9 Vitiello, Giuseppe
8 Alekseevskiĭ, Dmitriĭ Vladimirovich
8 Ali, Syed Twareque
8 Antoine, Jean-Pierre
8 Berceanu, Stefan
8 Marquette, Ian
8 Quesne, Christiane
7 Chenaghlou, Alireza
7 Fernández-Núñez, José
7 Fring, Andreas
7 Hussin, Véronique
7 Langmann, Edwin
7 Odzijewicz, Anatol
6 Calogero, Francesco A.
6 Cruz y Cruz, Sara
6 de Azcárraga, José A.
6 Karasev, Mikhail Vladimirovich
6 Sakane, Yusuke
6 Salazar-Ramírez, M.
6 Sasaki, Ryu
6 Spera, Mauro
6 Turbiner, Alexander
5 Blasone, Massimo
5 Büyükaşık, Şirin A.
5 Chalykh, Oleg A.
5 da Providência Santarém e Costa, João
5 Daoud, Mohammed
5 Dehghani, Alireza
5 Fedorov, Yuri N.
5 Fernando, Sudarshan
5 Günaydin, Murat
5 Guerrero, Julio
5 Guha, Partha
5 Iqbal, Shahid
5 Jizba, Petr
5 Kamran, Niky
5 Kuś, Marek
5 Livine, Etera R.
5 Mahdifar, Ali
5 Mojaveri, Bashir
5 Obada, Abdel-Shafy Fahmy
5 Pashaev, Oktay K.
5 Rañada, Manuel F.
5 Reyman, Alexey G.
5 Rosas-Ortiz, Oscar
5 Senthilvelan, Murugaian
5 Tsyganov, Andreĭ Vladimirovich
4 Adler, Mark
4 Bagarello, Fabio
4 Ballesteros, Angel
4 Borzov, Vadim V.
4 Cariñena, José F.
4 Eleuch, Hichem
4 Feigin, Misha V.
4 Fordy, Allan P.
4 Gekhtman, Mikhaèl I.
4 Gerdzhikov, Vladimir Stefanov
4 Görbe, Tamás F.
4 Heckman, Gert
4 Inozemtsev, Vladimir I.
4 Ioffe, Mikhail V.
4 Izquierdo, José Manuel
4 Kisil, Vladimir V.
4 Luo, Shunlong
4 Mann, Ady
4 Melnikov, Vitaly N.
4 Molski, Marcin
4 Nieto, Michael Martin
4 Nishiyama, Seiya
4 Obers, Niels A.
4 Oblak, Blagoje
4 Plyushchay, Mikhail S.
4 Popov, Dušan
4 Przybylska, Maria
4 Rowe, David J.
4 Ruby, V. Chithiika
4 Ruijsenaars, Simon N. M.
4 Saad, Nasser
...and 1,662 more Authors
all top 5

Cited in 210 Serials

229 Journal of Mathematical Physics
85 Communications in Mathematical Physics
76 Physics Letters. A
60 International Journal of Theoretical Physics
60 Nuclear Physics. B
59 Theoretical and Mathematical Physics
56 Journal of Geometry and Physics
51 Annals of Physics
41 Letters in Mathematical Physics
30 International Journal of Modern Physics A
29 Reports on Mathematical Physics
27 Journal of High Energy Physics
22 Journal of Nonlinear Mathematical Physics
17 Physica D
17 Journal of Modern Optics
15 International Journal of Geometric Methods in Modern Physics
14 Modern Physics Letters A
14 Quantum Information Processing
13 Classical and Quantum Gravity
13 Reviews in Mathematical Physics
13 Journal of Mathematical Sciences (New York)
13 Journal of Physics A: Mathematical and Theoretical
12 Regular and Chaotic Dynamics
11 International Journal of Modern Physics B
11 Functional Analysis and its Applications
10 Journal of Mathematical Analysis and Applications
10 Physics Letters. B
10 Annales de l’Institut Henri Poincaré. Physique Théorique
10 Journal of Mathematical Chemistry
10 Physical Review Letters
9 Journal of Statistical Physics
9 Mathematical Notes
9 Journal of Algebra
8 Physica A
8 Journal of Computational and Applied Mathematics
8 Differential Geometry and its Applications
8 Foundations of Physics
7 Journal of Functional Analysis
7 Transactions of the American Mathematical Society
7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
7 Advances in Mathematical Physics
6 Chaos, Solitons and Fractals
6 Inventiones Mathematicae
6 Acta Applicandae Mathematicae
6 Annals of Global Analysis and Geometry
6 New Journal of Physics
6 Physical Review A, Third Series
5 Annales de l’Institut Fourier
5 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
5 Compositio Mathematica
5 Journal of Soviet Mathematics
5 Mathematische Zeitschrift
5 Indagationes Mathematicae. New Series
5 Russian Physics Journal
4 Physics Reports
4 Advances in Mathematics
4 Proceedings of the Japan Academy. Series A
4 Mathematical Physics, Analysis and Geometry
4 Annales Henri Poincaré
4 Gravitation & Cosmology
4 Proceedings of the Steklov Institute of Mathematics
3 Computers & Mathematics with Applications
3 General Relativity and Gravitation
3 Journal of Applied Mathematics and Mechanics
3 Glasgow Mathematical Journal
3 Mathematische Annalen
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 Linear Algebra and its Applications
3 Bulletin of the American Mathematical Society. New Series
3 Nuclear Physics. B. Proceedings Supplements
3 Selecta Mathematica. New Series
3 Bulletin des Sciences Mathématiques
3 The Journal of Fourier Analysis and Applications
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 International Journal of Quantum Information
3 Journal of Geometric Mechanics
2 Computer Physics Communications
2 Communications on Pure and Applied Mathematics
2 Israel Journal of Mathematics
2 Prikladnaya Matematika i Mekhanika
2 Fortschritte der Physik
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Applied Mathematics and Computation
2 Duke Mathematical Journal
2 Geometriae Dedicata
2 Journal of Approximation Theory
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Results in Mathematics
2 Studies in Applied Mathematics
2 Transactions of the Moscow Mathematical Society
2 Applied Mathematics Letters
2 Mathematical and Computer Modelling
2 Science in China. Series A
2 Expositiones Mathematicae
2 Journal of Nonlinear Science
2 Russian Journal of Mathematical Physics
2 Applied and Computational Harmonic Analysis
2 Advances in Applied Clifford Algebras
2 NoDEA. Nonlinear Differential Equations and Applications
2 Integral Transforms and Special Functions
...and 110 more Serials
all top 5

Cited in 58 Fields

887 Quantum theory (81-XX)
313 Dynamical systems and ergodic theory (37-XX)
212 Nonassociative rings and algebras (17-XX)
204 Differential geometry (53-XX)
169 Topological groups, Lie groups (22-XX)
162 Partial differential equations (35-XX)
150 Mechanics of particles and systems (70-XX)
91 Relativity and gravitational theory (83-XX)
85 Statistical mechanics, structure of matter (82-XX)
81 Global analysis, analysis on manifolds (58-XX)
75 Special functions (33-XX)
75 Ordinary differential equations (34-XX)
71 Algebraic geometry (14-XX)
62 Functional analysis (46-XX)
45 Operator theory (47-XX)
40 Harmonic analysis on Euclidean spaces (42-XX)
35 Several complex variables and analytic spaces (32-XX)
35 Abstract harmonic analysis (43-XX)
32 Information and communication theory, circuits (94-XX)
25 Associative rings and algebras (16-XX)
25 Group theory and generalizations (20-XX)
23 Probability theory and stochastic processes (60-XX)
20 Numerical analysis (65-XX)
20 Optics, electromagnetic theory (78-XX)
18 Functions of a complex variable (30-XX)
16 Number theory (11-XX)
15 Linear and multilinear algebra; matrix theory (15-XX)
13 Combinatorics (05-XX)
13 Integral transforms, operational calculus (44-XX)
12 Difference and functional equations (39-XX)
11 Fluid mechanics (76-XX)
10 Statistics (62-XX)
10 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
7 Commutative algebra (13-XX)
7 Integral equations (45-XX)
7 Computer science (68-XX)
7 Biology and other natural sciences (92-XX)
6 Geometry (51-XX)
4 History and biography (01-XX)
4 Approximations and expansions (41-XX)
4 Manifolds and cell complexes (57-XX)
3 Mathematical logic and foundations (03-XX)
3 Category theory; homological algebra (18-XX)
3 Measure and integration (28-XX)
3 Algebraic topology (55-XX)
2 General algebraic systems (08-XX)
2 Real functions (26-XX)
2 Convex and discrete geometry (52-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Astronomy and astrophysics (85-XX)
2 Systems theory; control (93-XX)
1 General and overarching topics; collections (00-XX)
1 Field theory and polynomials (12-XX)
1 \(K\)-theory (19-XX)
1 Mechanics of deformable solids (74-XX)
1 Operations research, mathematical programming (90-XX)
1 Mathematics education (97-XX)

Citations by Year