Hidden Nambu mechanics: A variant formulation of Hamiltonian systems

被引：8

作者：

Horikoshi, Atsushi ^{[1
]}

Kawamura, Yoshiharu ^{[2
]}

机构：

[1] Tokyo City Univ, Dept Nat Sci, Tokyo 1588557, Japan

[2] Shinshu Univ, Dept Phys, Matsumoto, Nagano 3908621, Japan

来源：

PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS | 2013年 / 2013卷 / 07期

关键词：

QUANTIZATION;

D O I：

10.1093/ptep/ptt043

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We propose a variant formulation of Hamiltonian systems by the use of variables including redundant degrees of freedom. We show that Hamiltonian systems can be described by extended dynamics whose master equation is the Nambu equation or its generalization. Partition functions associated with the extended dynamics in many degrees of freedom systems are given. Our formulation can also be applied to Hamiltonian systems with first class constraints.

引用

页数：20

共 47 条

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