QUANTIZATION OF COMPLETELY INTEGRABLE HAMILTONIAN-SYSTEMS - GEOMETRIC ASPECT

被引：1
作者：
MYKYTYUK, IV
PRYKARPATSKYJ, AK
机构：
[1] NEW JERSEY INST TECHNOL, DEPT MATH, NEWARK, NJ 07102 USA
[2] NEW JERSEY INST TECHNOL, CTR APPL MATH & STAT, NEWARK, NJ 07102 USA
来源：
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-BASIC TOPICS IN PHYSICS | 1994年 / 109卷 / 11期
关键词：
03.65; quantum mechanics; Quantum theory;
D O I：
10.1007/BF02726682
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 Hamiltonian systems on smooth manifolds with exact symplectic structure. A quantum polarization set of the corresponding quantum-dynamical systems is described by means of action-angle variables as well as the character group of the fundamental group of phase space. These results are applied for the spectrum of a quantum Neumann-type dynamical system on S-2 to be obtained in analytical form.
引用
收藏
页码：1185 / 1194
页数：10
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