Open AccessBound states of relativistic particles in Rosen-Morse potential
Author(s) -
Gang Chen
Publication year - 2004
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.53.684
Subject(s) - bound state , morse potential , physics , relativistic quantum mechanics , dirac equation , wave function , scalar (mathematics) , klein–gordon equation , relativistic wave equations , quantum mechanics , supersymmetric quantum mechanics , mathematical physics , energy spectrum , classical mechanics , quantum , quantum statistical mechanics , quantum dynamics , geometry , mathematics , nonlinear system
The exact bound state solutions of the Klein-Gordon equation and Dirac equation with scalar and vector Rosen-Morse potentials are obtained in this paper. In addition, we use the supersymmetric quantum mechanics and shape invariance to get the bound state energy spectrum and use a change of variable to obtain the wave function. The above methods are extended to relativistic quantum mechanics.