Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/84297
Title: New solutions of the D-dimensional Klein-Gordon equation via mapping onto the nonrelativistic one-dimensional Morse potential
Authors: M. G. Garcia 
A. S. de Castro 
L. B. Castro 
P. Alberto 
Keywords: High Energy Physics - Theory; High Energy Physics - Theory; Quantum Physics
Issue Date: 2-Mar-2017
Serial title, monograph or event: Annals of Physics
Volume: 378
Abstract: New exact analytical bound-state solutions of the D-dimensional Klein-Gordon equation for a large set of couplings and potential functions are obtained via mapping onto the nonrelativistic bound-state solutions of the one-dimensional generalized Morse potential. The eigenfunctions are expressed in terms of generalized Laguerre polynomials, and the eigenenergies are expressed in terms of solutions of irrational equations at the worst. Several analytical results found in the literature, including the so-called Klein-Gordon oscillator, are obtained as particular cases of this unified approach
URI: http://hdl.handle.net/10316/84297
DOI: 10.1016/j.aop.2017.01.010
Rights: openAccess
Appears in Collections:I&D CFis - Artigos em Revistas Internacionais

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