Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/84296
Title: Solutions of the three-dimensional radial Dirac equation from the Schrödinger equation with one-dimensional Morse potential
Authors: Garcia, M.G. 
de Castro, A.S. 
Alberto, P. 
Castro, L.B. 
Issue Date: Apr-2017
Issue Date: Apr-2017
Abstract: New exact analytical bound-state solutions of the radial Dirac equation in 3 +1 dimensions for two sets of couplings and radial 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 equations that can be transformed into polynomial equations. Several analytical results found in the literature, including the Dirac oscillator, are obtained as particular cases of this unified approach.
URI: http://hdl.handle.net/10316/84296
DOI: 10.1016/j.physleta.2017.04.037
Rights: openAccess
Appears in Collections:I&D CFis - Artigos em Revistas Internacionais

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