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arxiv: 1310.5737 · v1 · pith:6QSSOBLWnew · submitted 2013-10-21 · 🪐 quant-ph

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

classification 🪐 quant-ph
keywords masssqueeze-likeallowsappliedapproachconsiderdependentdinger
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We provide a squeeze-like transformation that allows one to remove a position dependent mass from the Hamiltonian. Methods to solve the Schr\"{o}dinger 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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