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

Deng-Fan Potential for Relativistic Spinless Particles—an Ansatz Solution
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摘要 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 Schro¨dinger 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. 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.
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2012年第3期339-342,共4页 理论物理通讯(英文版)
关键词 相对论性 KLEIN-GORDON方程 自旋粒子 分子系统 非相对论 本征函数 计算系统 吸引力 Klein Gordon equation, Deng Fan potential, D-dimensional space, Ansatz method
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