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arXiv · 1310.5737

A squeeze-like operator approach to position-dependent mass in quantum mechanics

Héctor M. Moya-Cessa·Francisco Soto-Eguibar·Demetrios N. Christodoulides
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Abstract

We provide a squeeze-like transformation that allows one to remove a position dependent mass from the Hamiltonian. Methods to solve the Schrödinger equation may then be applied to find the respective eigenvalues and eigenfunctions. As an example, we consider a position-dependent-mass that leads to the integrable Morse potential and therefore to well-known solutions.

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Héctor M. Moya-Cessa, Francisco Soto-Eguibar, Demetrios N. Christodoulides. 2013-10-21. A squeeze-like operator approach to position-dependent mass in quantum mechanics. https://doi.org/10.1063/1.4890462

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