Schroedinger 方程中带磁场的准变量分离
数学物理
2007-05-23 v2 math.MP
可精确求解与可积系统
摘要
我们考虑量子力学中具有矢势和标势的二维可积 Hamilton 系统。与纯标势情形相反，二阶运动积分的存在并不保证 Schroedinger 方程中变量的分离。我们引入“准变量分离”的概念，并表明在许多情况下它允许我们将能谱和波函数的计算化为线性代数。
引用
@article{arxiv.math-ph/0502046,
title = {Quasiseparation of variables in the Schroedinger equation with a magnetic field},
author = {F. Charest and C. Hudon and P. Winternitz},
journal= {arXiv preprint arXiv:math-ph/0502046},
year = {2007}
}
备注
21 pages, 2 tables, a significant amount of new material has been added