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

doi:10.1088/1674-1056/25/10/100301

中国物理B ›› 2016, Vol. 25 ›› Issue (10): 100301-100301.doi: 10.1088/1674-1056/25/10/100301

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

S Miraboutalebi

Department of Physics, Islamic Azad University, Tehran North Branch, Tehran 1651153311, Iran

收稿日期:2016-04-28 修回日期:2016-06-08 出版日期:2016-10-05 发布日期:2016-10-05
通讯作者: S Miraboutalebi E-mail:smirabotalebi@gmail.com

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

S Miraboutalebi

Department of Physics, Islamic Azad University, Tehran North Branch, Tehran 1651153311, Iran

Received:2016-04-28 Revised:2016-06-08 Online:2016-10-05 Published:2016-10-05
Contact: S Miraboutalebi E-mail:smirabotalebi@gmail.com

摘要/Abstract

摘要： We investigate an analytical solution for the Schrödinger 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.

关键词: Schrö, dinger equation, Morse potential, Laplace transformation method, position-dependent mass

Abstract: We investigate an analytical solution for the Schrödinger 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.

Key words: Schrödinger equation, Morse potential, Laplace transformation method, position-dependent mass

中图分类号: (Quantum mechanics)

03.65.-w

S Miraboutalebi. The bound state solution for the Morse potential with a localized mass profile[J]. 中国物理B, 2016, 25(10): 100301-100301.

S Miraboutalebi. The bound state solution for the Morse potential with a localized mass profile[J]. Chin. Phys. B, 2016, 25(10): 100301-100301.

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

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

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