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arXiv · 1206.1666

$\hbar$-expansion for the Schrödinger equation with a position-dependent mass

D. A. Kulikov·V. M. Shapoval
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Abstract

A recursion technique of obtaining the asymptotical expansions for the bound-state energy eigenvalues of the radial Schrödinger equation with a position-dependent mass is presented. As an example of the application we calculate the energy eigenvalues for the Coulomb potential in the presence of position-dependent mass and we derive the inequalities regulating the shifts of the energy levels from their constant-mass positions.

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D. A. Kulikov, V. M. Shapoval. 2012-06-08. $\hbar$-expansion for the Schrödinger equation with a position-dependent mass. https://arxiv.org/abs/1206.1666

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