INVARIANT TORI AND HEISENBERG MATRIX-MECHANICS - A NEW WINDOW ON THE QUANTUM-CLASSICAL CORRESPONDENCE

被引：27

作者：

GREENBERG, WR ^{[1
]}

KLEIN, A ^{[1
]}

LI, CT ^{[1
]}

机构：

[1] NATL TAIWAN UNIV,DEPT PHYS,TAIPEI 10764,TAIWAN

来源：

PHYSICAL REVIEW LETTERS | 1995年 / 75卷 / 07期

关键词：

D O I：

10.1103/PhysRevLett.75.1244

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Despite the seminal connection between classical multiply periodic motion and Heisenberg matrix mechanics, we show that there are fundamental, previously undisclosed aspects of this quantum-classical correspondence. These include a quantum variational principle that implies the classical variational principle for invariant tori and the connection between commutation relations and quantization of action variables. Possible applications are described briefly.

引用

页码：1244 / 1247

页数：4

共 19 条

[1]

BENGTSSON R, 1992, NUCLEAR STRUCTURE ST, P229

[2] Quantum mechanics II [J].