论文标题

椭圆曲线上的schrödinger方程:对称性,解决方案和特征值问题

Schrödinger equations on elliptic curves: symmetries, solutions and eigenvalue problem

论文作者

Lychagin, Valentin, Roop, Mikhail

论文摘要

在本文中,我们研究了称为广义的Lamé方程的椭圆曲线方程。我们建议一种找到Schrödinger类型方程的可集成势的方法。我们将此方法应用于Lamé方程,并提供一系列可明确解决特征值问题的可集成电位。

In this paper, we study Schrödinger equations on elliptic curves called generalized Lamé equations. We suggest a method of finding integrable potentials for Schrödinger type equations. We apply this method to the Lamé equations and provide a sequence of integrable potentials for which the eigenvalue problem is solved explicitly.

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