A squeeze-like operator approach to position-dependent mass in quantum mechanics
Quantum Physics
2015-12-29 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1310.5737,
title = {A squeeze-like operator approach to position-dependent mass in quantum mechanics},
author = {Héctor M. Moya-Cessa and Francisco Soto-Eguibar and Demetrios N. Christodoulides},
journal= {arXiv preprint arXiv:1310.5737},
year = {2015}
}