The bound state solution for the Morse potential with a localized mass profile

We investigate an analytical solution for the Schr o¨dinger equation with a position-dependent mass distribution, with the Morse potential via Laplace transformations. We considered a mass function localized around the equilibrium position.The mass distribution depends on the energy spectrum of the...

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Bibliographic Details
Published in:Chinese physics B 2016-10, Vol.25 (10), p.35-38
Main Author: Miraboutalebi, S
Format: Article
Language:English
Subjects:
Laplace transformation method
Morse potential
position-dependent mass
Schrödinger equation
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Summary:We investigate an analytical solution for the Schr o¨dinger equation with a position-dependent mass distribution, with the Morse potential via Laplace transformations. We considered a mass function localized around the equilibrium position.The mass distribution depends on the energy spectrum of the state and the intrinsic parameters of the Morse potential. An exact bound state solution is obtained in the presence of this mass distribution.
ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/25/10/100301