QUANTUM-MECHANICS AS A GENERALIZATION OF NAMBU DYNAMICS TO THE WEYL-WIGNER FORMALISM

被引：41

作者：

BIALYNICKIBIRULA, I

MORRISON, PJ

机构：

[1] UNIV TEXAS,DEPT PHYS,AUSTIN,TX 78712

[2] UNIV TEXAS,INST FUS STUDIES,AUSTIN,TX 78712

来源：

PHYSICS LETTERS A | 1991年 / 158卷 / 09期

关键词：

D O I：

10.1016/0375-9601(91)90458-K

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is shown that Nambu dynamics can be generalized to any number of dimensions by replacing the O (3) algebra, a prominent feature of Nambu's formulation, by an arbitrary Lie algebra. For the infinite dimensional algebra of rotations in phase space one obtains quantum mechanics in the Weyl-Wigner representation from the generalized Nambu dynamics. Also, this formulation can be cast into a canonical Hamiltonian form by a natural choice of canonically conjugate variables.

引用

页码：453 / 457

页数：5

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