GEOMETRIC-QUANTIZATION OF NEUMANN-TYPE COMPLETELY INTEGRABLE HAMILTONIAN-SYSTEMS

被引：7

作者：

MYKYTYUK, IV

PRYKARPATSKY, AK

ANDRUSHKIW, RI

SAMOILENKO, VH

机构：

[1] NEW JERSEY INST TECHNOL, CTR APPL MATH & STAT, NEWARK, NJ 07102 USA

[2] NEW JERSEY INST TECHNOL, DEPT MATH, NEWARK, NJ 07102 USA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1994年 / 35卷 / 04期

关键词：

D O I：

10.1063/1.530605

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The procedure of geometric quantization is developed for completely integrable dynamical systems on manifolds with exact symplectic structure. These results are applied to Neumann's nonharmonic oscillatory system on two-dimensional sphere S2.

引用

页码：1532 / 1548

页数：17

共 50 条

[1] QUANTIZATION OF COMPLETELY INTEGRABLE HAMILTONIAN-SYSTEMS - GEOMETRIC ASPECT
MYKYTYUK, IV
PRYKARPATSKYJ, AK
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-BASIC TOPICS IN PHYSICS, 1994, 109 (11): : 1185 - 1194
[2] A HIERARCHY OF INTEGRABLE HAMILTONIAN-SYSTEMS WITH NEUMANN TYPE CONSTRAINT
ZENG, YB
LI, YS
CHEN, DY
CHINESE ANNALS OF MATHEMATICS SERIES B, 1992, 13 (03) : 327 - 340
[3] ENTROPY AND COMPLETELY INTEGRABLE HAMILTONIAN-SYSTEMS
PATERNAIN, G
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 113 (03) : 871 - 873
[4] Geometric quantization of time-dependent completely integrable Hamiltonian systems
Fiorani, E
Giachetta, G
Sardanashvily, G
JOURNAL OF MATHEMATICAL PHYSICS, 2002, 43 (10) : 5013 - 5025
[5] COMPLETELY INTEGRABLE HAMILTONIAN-SYSTEMS AND THE SEPARATION OF VARIABLES
WINTERNITZ, P
LECTURE NOTES IN PHYSICS, 1983, 180 : 142 - 153
[6] THE SYMPLECTIC TOPOLOGY OF COMPLETELY INTEGRABLE HAMILTONIAN-SYSTEMS
FOMENKO, AT
RUSSIAN MATHEMATICAL SURVEYS, 1989, 44 (01) : 181 - 219
[7] GRADIENT THEOREM FOR COMPLETELY INTEGRABLE HAMILTONIAN-SYSTEMS
ARTHUR, MD
CASE, KM
JOURNAL OF MATHEMATICAL PHYSICS, 1982, 23 (10) : 1771 - 1777
[8] FACTORIZATION OF OPERATORS AND COMPLETELY INTEGRABLE HAMILTONIAN-SYSTEMS
GUERRERO, FG
JOURNAL OF MATHEMATICAL PHYSICS, 1982, 23 (02) : 217 - 226
[9] Geometric quantization of completely integrable Hamiltonian systems in the action-angle variables
Giachetta, G
Mangiarotti, L
Sardanashvily, G
PHYSICS LETTERS A, 2002, 301 (1-2) : 53 - 57
[10] Quantization of noncommutative completely integrable Hamiltonian systems
Giachetta, G.
Mangiarotti, L.
Sardanashvily, G.
PHYSICS LETTERS A, 2007, 362 (2-3) : 138 - 142

← 1 2 3 4 5 →