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

Authors :
Moya-Cessa, Héctor M.
Soto-Eguibar, Francisco
Christodoulides, Demetrios N.
Source :
Journal of Mathematical Physics 55, 082103 (2014)
Publication Year :
2013

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.

Subjects

Subjects :
Quantum Physics

Details

Database :
arXiv
Journal :
Journal of Mathematical Physics 55, 082103 (2014)
Publication Type :
Report
Accession number :
edsarx.1310.5737
Document Type :
Working Paper
Full Text :
https://doi.org/10.1063/1.4890462