含时二次哈密顿量、SU(1,1)、SU(2)、SU(2,1)与SU(3)
量子物理
2007-05-23 v2
摘要
SU(1,1)、SU(2)、SU(2,1)和SU(3)的性质常在量子光学中被使用。在本文中我们展示了这些对称性的应用。利用SU(1,1)、SU(2)和SU(2,1)的群性质来求各种含时二次哈密顿量的跃迁概率。我们考虑表示频率转换器、参量放大器和拉曼散射的哈密顿量。这些哈密顿量用于描述非线性晶体中的光学耦合。
引用
@article{arxiv.quant-ph/0412211,
title = {Time Dependent Quadratic Hamiltonians,SU(1,1), SU(2), SU(2,1) and SU(3)},
author = {Paul Croxson},
journal= {arXiv preprint arXiv:quant-ph/0412211},
year = {2007}
}
备注
This paper is a replacement, new, appendix, sections and references have been added. A version of this paper has been accepted by 'Physics Letters A' on 17th of febuary 2006. It is available from http://www.sciencedirect.com. Title of paper 'Time dependent quadratic Hamiltonians SU(2) and SU(2,1)' author Paul Croxson 19 pages