Deng-Fan Potential for Relativistic Spinless Particles -- an Ansatz Solution

Deng-Fan potential originally appeared many years ago as an attractive proposition for molecular systems. On the contrary to the ground state of one-dimensional Schr6dinger equation, this potential fails to admit exact analytical solutions for arbitrary quantum number in both relativistic and nonrel...

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Bibliographic Details
Published inCommunications in theoretical physics Vol. 57; no. 3; pp. 339 - 342
Main Authors Hassanabadi, H., Yazarloo, B.H., Zarrinkamar, S., Rahimov, H.
Format Journal Article
LanguageEnglish
Published 01.03.2012
Subjects
Eigenfunctions
Ground state
Klein-Gordon equation
Klein-Gordon方程
Mathematical analysis
Scalars
Schroedinger equation
Spectra
Vectors (mathematics)
分子系统
吸引力
本征函数
相对论性
自旋粒子
计算系统
非相对论
Online AccessGet full text
ISSN0253-6102
DOI10.1088/0253-6102/57/3/02

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Summary:Deng-Fan potential originally appeared many years ago as an attractive proposition for molecular systems. On the contrary to the ground state of one-dimensional Schr6dinger equation, this potential fails to admit exact analytical solutions for arbitrary quantum number in both relativistic and nonrelativistic regime. Because of this complexity, there exists only few papers, which discuss this interesting problem. Here, using an elegant ansatz, we have calculated the system spectra as well as the eigenfunctions in the general case of unequal vector and scalar potentials under Klein-Gordon equation.
Bibliography:Klein Gordon equation, Deng Fan potential, D-dimensional space, Ansatz method
11-2592/O3
Deng-Fan potential originally appeared many years ago as an attractive proposition for molecular systems. On the contrary to the ground state of one-dimensional Schr6dinger equation, this potential fails to admit exact analytical solutions for arbitrary quantum number in both relativistic and nonrelativistic regime. Because of this complexity, there exists only few papers, which discuss this interesting problem. Here, using an elegant ansatz, we have calculated the system spectra as well as the eigenfunctions in the general case of unequal vector and scalar potentials under Klein-Gordon equation.
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ISSN:0253-6102
DOI:10.1088/0253-6102/57/3/02