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

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