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https://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: | Garcia, M. G. Castro, A. S. de Castro, L. B. Alberto, P. |
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: | https://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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v4MORSEkg.pdf | 205.17 kB | Adobe PDF | View/Open |
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