We have considered the Iwasawa and Gauss decompositions for the Lie group SL(2,R). According to these decompositions, the Casimir operators of the group and the Hamiltonians with position-dependent mass were expressed. Then, the unbound state solutions of the Schrödinger equations with position-dependent mass were given.

中文翻译：

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关于位置相关质量的薛定ding方程的解

我们已经考虑了李群SL（2，R）的Iwasawa和Gauss分解。根据这些分解，表达了该组的卡西米尔算子和具有位置依赖质量的哈密顿量。然后，给出了质量随位置变化的薛定ding方程的非束缚态解。