作为费米子与玻色子之间插值对象的 k-费米子
量子物理
2007-05-23 v1 高能物理 - 理论
数学物理
math.MP
量子代数
q-alg
摘要
通过考察两个非对易的 quon 代数,引入了称为 k-费米子算符的算符,它们在玻色子与费米子算符之间插值。这些 quon 代数的形变参数是与整数 k 相联的单位根。k=2 的情形对应于费米子,而 k 趋于无穷的极限情形对应于玻色子。研究了广义相干态与超相干态。也考虑了 Dirac 量子相位算符与 Fairlie-Fletcher-Zachos 代数。
引用
@article{arxiv.quant-ph/9710016,
title = {The k-fermions as objects interpolating between fermions and bosons},
author = {M. Daoud and Y. Hassouni and M. Kibler},
journal= {arXiv preprint arXiv:quant-ph/9710016},
year = {2007}
}
备注
15 pages, Latex file. Work presented both to the Symposium `Symmetries in Science X' (Bregenz, Austria, 13-18 July 1997) and to the `VIII International Conference on Symmetry Methods in Physics' (Dubna, Russia, 28 July - 2 August 1997)