非交换量子力学的四种表述的比较综述
高能物理 - 理论
2016-07-01 v2 数学物理
math.MP
摘要
我们综述了非交换 Moyal 相空间上量子力学的四种表述。这些是关于正则、路径积分、Weyl-Wigner 与系统化的表述。尽管这些表述均在具有相同形变 Heisenberg 代数的相空间上表示量子力学, 但我们讨论了其数学与概念上的差异。
引用
@article{arxiv.1603.07176,
title = {A comparative review of four formulations of noncommutative quantum mechanics},
author = {Laure Gouba},
journal= {arXiv preprint arXiv:1603.07176},
year = {2016}
}
备注
14 pages, change of the title, minor modifications of the abstract and the introduction, additional references. Published in International Journal of Modern Physics A, World Scientific Publishing Compagny. arXiv admin note: text overlap with arXiv:hep-th/0611257, arXiv:0709.3357 by other authors