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.
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页码：453 / 457
页数：5
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