Completely integrable Hamiltonian systems connected with semisimple Lie algebras

M. A. Olshanetsky; A. M. Perelomov

doi:10.1007/bf01418964

Completely integrable Hamiltonian systems connected with semisimple Lie algebras

Inventiones mathematicae ◽

10.1007/bf01418964 ◽

1976 ◽

Vol 37 (2) ◽

pp. 93-108 ◽

Cited By ~ 161

Author(s):

M. A. Olshanetsky ◽

A. M. Perelomov

Keyword(s):

Lie Algebras ◽

Hamiltonian Systems ◽

Integrable Hamiltonian Systems ◽

Semisimple Lie Algebras ◽

Completely Integrable ◽

Completely Integrable Hamiltonian Systems

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Completely integrable Hamiltonian systems on semisimple Lie algebras

Contemporary Mathematics - Multiparameter Bifurcation Theory ◽

10.1090/conm/056/855099 ◽

1986 ◽

pp. 319-333 ◽

Cited By ~ 1

Author(s):

D. H. Sattinger

Keyword(s):

Lie Algebras ◽

Hamiltonian Systems ◽

Integrable Hamiltonian Systems ◽

Semisimple Lie Algebras ◽

Completely Integrable ◽

Completely Integrable Hamiltonian Systems

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Completely integrable Hamiltonian systems on semidirect sums of Lie algebras

Sbornik Mathematics ◽

10.1070/sm2009v200n05abeh004012 ◽

2009 ◽

Vol 200 (5) ◽

pp. 629-659

Author(s):

Maria M Zhdanova

Keyword(s):

Lie Algebras ◽

Hamiltonian Systems ◽

Integrable Hamiltonian Systems ◽

Completely Integrable ◽

Completely Integrable Hamiltonian Systems

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Geometric quantization of completely integrable Hamiltonian systems in the action-angle variables

Physics Letters A ◽

10.1016/s0375-9601(02)00956-8 ◽

2002 ◽

Vol 301 (1-2) ◽

pp. 53-57 ◽

Cited By ~ 6

Author(s):

G. Giachetta ◽

L. Mangiarotti ◽

G. Sardanashvily

Keyword(s):

Hamiltonian Systems ◽

Geometric Quantization ◽

Integrable Hamiltonian Systems ◽

Completely Integrable ◽

Completely Integrable Hamiltonian Systems

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Geometric quantization of Neumann‐type completely integrable Hamiltonian systems

Journal of Mathematical Physics ◽

10.1063/1.530605 ◽

1994 ◽

Vol 35 (4) ◽

pp. 1532-1548 ◽

Cited By ~ 8

Author(s):

I. V. Mykytiuk ◽

A. K. Prykarpatsky ◽

R. I. Andrushkiw ◽

V. Hr. Samoilenko

Keyword(s):

Hamiltonian Systems ◽

Geometric Quantization ◽

Integrable Hamiltonian Systems ◽

Completely Integrable ◽

Neumann Type ◽

Completely Integrable Hamiltonian Systems

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Minimal Orbits for Small Perturbations of Completely Integrable Hamiltonian Systems

Twist Mappings and Their Applications - The IMA Volumes in Mathematics and its Applications ◽

10.1007/978-1-4613-9257-6_10 ◽

1992 ◽

pp. 183-199

Author(s):

A. Katok

Keyword(s):

Hamiltonian Systems ◽

Integrable Hamiltonian Systems ◽

Small Perturbations ◽

Completely Integrable ◽

Completely Integrable Hamiltonian Systems

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Completely integrable Hamiltonian systems and the separation of variables

Group Theoretical Methods in Physics - Lecture Notes in Physics ◽

10.1007/3-540-12291-5_18 ◽

2008 ◽

pp. 142-153

Author(s):

P. Winternitz

Keyword(s):

Hamiltonian Systems ◽

Separation Of Variables ◽

Integrable Hamiltonian Systems ◽

Completely Integrable ◽

Completely Integrable Hamiltonian Systems

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Algebraic completely integrable Hamiltonian systems

Lecture Notes in Mathematics - Integrable Systems in the realm of Algebraic Geometry ◽

10.1007/978-3-662-21535-7_5 ◽

1996 ◽

pp. 123-138 ◽

Cited By ~ 1

Author(s):

Pol Vanhaecke

Keyword(s):

Hamiltonian Systems ◽

Integrable Hamiltonian Systems ◽

Completely Integrable ◽

Completely Integrable Hamiltonian Systems

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Vertical Cohomologies and Their Application to Completely Integrable Hamiltonian Systems

Georgian Mathematical Journal ◽

10.1023/b:geor.0000008119.93039.36 ◽

1998 ◽

Vol 5 (5) ◽

pp. 483-500 ◽

Cited By ~ 1

Author(s):

Z. Tevdoradze

Keyword(s):

Hamiltonian Systems ◽

Integrable Hamiltonian Systems ◽

Completely Integrable ◽

Completely Integrable Hamiltonian Systems

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Two finite‐dimensional completely integrable Hamiltonian systems associated with the solutions of the MKDV hierarchy

Journal of Mathematical Physics ◽

10.1063/1.529261 ◽

1991 ◽

Vol 32 (6) ◽

pp. 1531-1536 ◽

Cited By ~ 11

Author(s):

Zhuquan Gu

Keyword(s):

Hamiltonian Systems ◽

Integrable Hamiltonian Systems ◽

Completely Integrable ◽

Finite Dimensional ◽

Completely Integrable Hamiltonian Systems ◽

Mkdv Hierarchy

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Geometric quantization of time-dependent completely integrable Hamiltonian systems

Journal of Mathematical Physics ◽

10.1063/1.1502927 ◽

2002 ◽

Vol 43 (10) ◽

pp. 5013 ◽

Cited By ~ 7

Author(s):

E. Fiorani ◽

G. Giachetta ◽

G. Sardanashvily

Keyword(s):

Hamiltonian Systems ◽

Geometric Quantization ◽

Time Dependent ◽

Integrable Hamiltonian Systems ◽

Completely Integrable ◽

Completely Integrable Hamiltonian Systems

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