Quantum and Classic Brackets
数学物理
2007-05-23 v2 泛函分析
math.MP
量子代数
表示论
经典物理
量子物理
摘要
We describe an -mechanical (see funct-an/9405002 and quant-ph/9610016) brackets which generate quantum (commutator) and classic (Poisson) brackets in corresponding representations of the Heisenberg group. We \emph{do not} use any kind of semiclassic approximation or limiting procedures for . Harmonic oscillator considered within the approach. Keywords: Classic and quantum mechanics, Hamilton and Heisenberg equations, Poisson brackets, commutator, Heisenberg group.
引用
@article{arxiv.math-ph/0007030,
title = {Quantum and Classic Brackets},
author = {Vladimir V. Kisil},
journal= {arXiv preprint arXiv:math-ph/0007030},
year = {2007}
}
备注
LaTeX2e, 16 pages; added subsection with an example