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A squeeze-like operator approach to position-dependent mass in quantum mechanics
- 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 :
- Quantum Physics
Subjects
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