The Kowalevski top: its r-matrix interpretation and bihamiltonian formulation

被引：15

作者：

Marshall, ID ^{[1
]}

机构：

[1] Ecole Normale Super, Ctr Math & Leurs Applicat, F-94235 Cachan, France

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1998年 / 191卷 / 03期

关键词：

D O I：

10.1007/s002200050285

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Lax pair representation for the Kowalevski top and for the Kowalevski gyrostat are obtained directly via the r-matrix method. The construction of Reyman and Semenov-Tian-Shansky is then used to give a bihamiltonian description of the Kowalevski gyrostat.

引用

页码：723 / 734

页数：12

共 50 条

[21] On the Instanton R-matrix
Smirnov, Andrey
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2016, 345 (03) : 703 - 740
[22] R-matrix formulation of the quantum inhomogeneous groups ISOq,r(N) and ISp(q,r)(N)
Aschieri, P
Castellani, L
LETTERS IN MATHEMATICAL PHYSICS, 1996, 36 (02) : 197 - 211
[23] ON THE R-MATRIX FORMULATION OF DEFORMED ALGEBRAS AND GENERALIZED JORDAN-WIGNER TRANSFORMATIONS
MELJANAC, S
MILEKOVIC, M
PERICA, A
EUROPHYSICS LETTERS, 1994, 28 (02): : 79 - 83
[24] The Kowalevski top as a reduction of a Hamiltonian system on sp(4,R)
Ivanescu, C
Savu, A
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (02) : 607 - 618
[25] Operator formulation of Wigner's R-matrix theories for the Schrodinger and Dirac equations
Szmytkowski, R
JOURNAL OF MATHEMATICAL PHYSICS, 1998, 39 (10) : 5231 - 5252
[26] On classical r matrix for the Kowalevski gyrostat on so(4)
I. V. Komarov
A. V. Tsiganov
Physics of Atomic Nuclei, 2007, 70 : 554 - 559
[27] On classical r matrix for the Kowalevski gyrostat on so(4)
Komarov, I. V.
Tsiganov, A. V.
PHYSICS OF ATOMIC NUCLEI, 2007, 70 (03) : 554 - 559
[28] A NEW QUASITRIANGULAR HOPF SUPERALGEBRA AND ITS UNIVERSAL R-MATRIX
管习文
杨善德
周焕强
Acta Mathematica Scientia, 1998, (02) : 174 - 176
[29] A new quasitriangular Hopf superalgebra and its universal R-matrix
Guan, XW
Yang, SD
Zhou, HQ
ACTA MATHEMATICA SCIENTIA, 1998, 18 (02) : 174 - 176
[30] LAX REPRESENTATION WITH A SPECTRAL PARAMETER FOR THE KOWALEVSKI TOP AND ITS GENERALIZATIONS
REIMAN, AG
SEMENOVTYANSHANSKII, MA
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1988, 22 (02) : 158 - 160

← 1 2 3 4 5 →