The series solutions of the non-relativistic equation with the Morse potential

Shi Hai Dong; Guo Hua Sun

doi:10.1016/S0375-9601(03)00895-8

The series solutions of the non-relativistic equation with the Morse potential

Shi Hai Dong, Guo Hua Sun

Research output: Contribution to journal › Article › peer-review

68 Scopus citations

Abstract

In this Letter the analytical solutions of the two-dimensional Schrödinger equation with the Morse potential are obtained by the series expansion method. We then generalize this method to the D-dimensional Schrödinger equation case. The studied Morse potential itself is expanded in the series about the origin.

Original language	English
Pages (from-to)	261-266
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	314
Issue number	4
DOIs	https://doi.org/10.1016/S0375-9601(03)00895-8
State	Published - 4 Aug 2003
Externally published	Yes

Keywords

Morse potential
Schrödinger equation
Series method
Two dimensions

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10.1016/S0375-9601(03)00895-8

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title = "The series solutions of the non-relativistic equation with the Morse potential",

abstract = "In this Letter the analytical solutions of the two-dimensional Schr{\"o}dinger equation with the Morse potential are obtained by the series expansion method. We then generalize this method to the D-dimensional Schr{\"o}dinger equation case. The studied Morse potential itself is expanded in the series about the origin.",

keywords = "Morse potential, Schr{\"o}dinger equation, Series method, Two dimensions",

author = "Dong, {Shi Hai} and Sun, {Guo Hua}",

note = "Funding Information: One of the authors (D.S.-H.) thanks Prof. M. Lozada-Cassou for the hospitality shown at IMP. This work is partly supported by CONACyT, Mexico, under projects L007E and C086A. This work was started at Instituto de Ciencias Nucleares of UNAM.",

year = "2003",

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doi = "10.1016/S0375-9601(03)00895-8",

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journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

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T1 - The series solutions of the non-relativistic equation with the Morse potential

AU - Dong, Shi Hai

AU - Sun, Guo Hua

N1 - Funding Information: One of the authors (D.S.-H.) thanks Prof. M. Lozada-Cassou for the hospitality shown at IMP. This work is partly supported by CONACyT, Mexico, under projects L007E and C086A. This work was started at Instituto de Ciencias Nucleares of UNAM.

PY - 2003/8/4

Y1 - 2003/8/4

N2 - In this Letter the analytical solutions of the two-dimensional Schrödinger equation with the Morse potential are obtained by the series expansion method. We then generalize this method to the D-dimensional Schrödinger equation case. The studied Morse potential itself is expanded in the series about the origin.

AB - In this Letter the analytical solutions of the two-dimensional Schrödinger equation with the Morse potential are obtained by the series expansion method. We then generalize this method to the D-dimensional Schrödinger equation case. The studied Morse potential itself is expanded in the series about the origin.

KW - Morse potential

KW - Schrödinger equation

KW - Series method

KW - Two dimensions

UR - http://www.scopus.com/inward/record.url?scp=0043269225&partnerID=8YFLogxK

U2 - 10.1016/S0375-9601(03)00895-8

DO - 10.1016/S0375-9601(03)00895-8

M3 - Artículo

SN - 0375-9601

VL - 314

SP - 261

EP - 266

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 4

ER -

The series solutions of the non-relativistic equation with the Morse potential

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Keywords

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