Remark on a group-theoretical formalism for quantum mechanics and the quantum-to-classical transition

被引：4
|
作者：
Korbicz, J. K. [1 ]
Lewenstein, M.
机构：
[1] Leibniz Univ Hannover, Inst Theoret Phys, D-30167 Hannover, Germany
[2] ICREA & ICFO Inst Ciencias Foton, Barcelona 08860, Spain
来源：
FOUNDATIONS OF PHYSICS | 2007年 / 37卷 / 06期
关键词：
quantum mechanics; classical limit; Heisenberg-Weyl group;
D O I：
10.1007/s10701-007-9130-z
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We sketch a group-theoretical framework, based on the Heisenberg-Weyl group, encompassing both quantum and classical statistical descriptions of unconstrained, non-relativistic mechanical systems. We redefine in group-theoretical terms a kinematical arena and a space of statistical states of a system, achieving a unified quantum-classical language and an elegant version of the quantum-to-classical transition. We briefly discuss the structure of observables and dynamics within our framework.
引用
收藏
页码：879 / 896
页数：18
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