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

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.4890462· OSTI ID:22306080
;  [1];  [2]
  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)

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.

OSTI ID:
22306080
Journal Information:
Journal of Mathematical Physics, Vol. 55, Issue 8; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
Country of Publication:
United States
Language:
English