Canonical transformations of the extended phase space, Toda lattices and the Stackel family of integrable systems

被引：13

作者：

Tsiganov, AV ^{[1
]}

机构：

[1] St Petersburg State Univ, Inst Phys, Dept Math & Computat Phys, St Petersburg 198904, Russia

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2000年 / 33卷 / 22期

关键词：

D O I：

10.1088/0305-4470/33/22/318

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider some examples of canonical transformations of the extended phase space, which map a completely integrable system into another completely integrable system. The proposed transformations are closed to the known Maupertuis-Jacobi mappings and to the Kepler change of the time. Using the Kepler transformation we construct new integrable systems related to the Toda lattices and the Stackel family of integrable systems.

引用

页码：4169 / 4182

页数：14

共 50 条

[21] GAUGE TRANSFORMATIONS IN EXTENDED PHASE-SPACE
HEALY, WP
PHYSICA SCRIPTA, 1993, 48 (03): : 269 - 276
[22] Canonical and Backlund transformations for discrete integrable systems and classical r-matrix
Choudhury, AG
Chowdhury, AR
PHYSICS LETTERS A, 2001, 280 (1-2) : 37 - 44
[23] A family of hyperbolic spin Calogero-Moser systems and the spin Toda lattices
Li, LC
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2004, 57 (06) : 791 - 832
[24] LAX FORMALISM FOR A FAMILY OF INTEGRABLE TODA-RELATED N-PARTICLE SYSTEMS
RANADA, MF
JOURNAL OF MATHEMATICAL PHYSICS, 1995, 36 (12) : 6846 - 6856
[25] Linear Canonical Transformations in Phase Space: the Gabor Frames Approach
Gioia, Patrick
Gilles, Antonin
Lagrange, Antoine
El Rhammad, Anas
Vu-Ngoc, San
OPTICS, PHOTONICS, AND DIGITAL TECHNOLOGIES FOR IMAGING APPLICATIONS VIII, 2024, 12998
[26] CANONICAL TRANSFORMATIONS IN THREE-DIMENSIONAL PHASE-SPACE
Dereli, Tekin
Tegmen, Adnan
Hakioglu, Tugrul
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2009, 24 (25-26): : 4769 - 4788
[27] Extended Galilean transformations for high-order systems in two integrable hierarchies
Zhang, Da-jun
Chen, Deng-yuan
Hu, Liu-feng
PHYSICA SCRIPTA, 2011, 83 (04)
[28] CONFORMALLY REDUCED WZNW THEORY, NEW EXTENDED CHIRAL ALGEBRAS AND THEIR ASSOCIATED TODA TYPE INTEGRABLE SYSTEMS
HOU, BY
CHAO, L
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1992, 7 (28): : 7015 - 7043
[29] Canonical transformations for time evolution and their representation in Wigner distribution phase space
Moshinsky, M
Sharma, A
ANNALS OF PHYSICS, 2000, 282 (01) : 138 - 153
[30] LIE SERIES AND CANONICAL-TRANSFORMATIONS IN COMPLEX PHASE-SPACE
BRUHN, B
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 1988, 43 (05): : 411 - 418

← 1 2 3 4 5 →