Published August 2014
| Version v1
Journal article
A squeeze-like operator approach to position-dependent mass in quantum mechanics
- 1. Instituto Nacional de Astrofísica, Óptica y Electrónica, Calle Luis Enrique Erro No. 1, Santa María Tonantzintla, San Andrés Cholula, Puebla CP 72840 (Mexico)
- 2. CREOL/College of Optics and Photonics, University of Central Florida, Orlando, Florida 32816-2700 (United States)
Description
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
Additional details
Identifiers
- DOI
- 10.1063/1.4890462;
- arXiv
- arXiv:1310.5737v1;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 55
- Journal Issue
- 8
- Journal Page Range
- p. 082103-082103.6
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 46012253
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- EIGENFUNCTIONS; EIGENVALUES; HAMILTONIANS; MASS; MATHEMATICAL SOLUTIONS; MORSE POTENTIAL; QUANTUM MECHANICS; SCHROEDINGER EQUATION
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; MATHEMATICAL OPERATORS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; POTENTIALS; QUANTUM OPERATORS; WAVE EQUATIONS
Optional Information
- Notes
- (c) 2014 AIP Publishing LLC