球体波函数的积分性质
量子物理
2010-11-22 v3
摘要
利用超对称量子力学中的微扰方法研究球体方程是否具有形状不变性。将超势按参数 α 逐项展开并求解,我们发现超势在第二项之后失去了形状不变性。这首先意味着我们无法通过超对称量子力学求解球体问题;进一步而言,在某种意义上说它们不可解也并非不合理。
引用
@article{arxiv.0906.5563,
title = {The integral property of the spheroidal wave functions},
author = {Guihua Tian and Shuquan Zhong},
journal= {arXiv preprint arXiv:0906.5563},
year = {2010}
}
备注
This paper has been withdrawn by the authors. In later study, we found the conclusion is wrong in some way