The Relativistic Dirac-morse Problem via Susy Qm
نویسنده
چکیده
The Morse problem is investigated in relativistic quantum mechanics. PACS numbers: 11.30.Pb, 03.65.Fd, 11.10.Ef Talk at the Brasilian National Meeting on Particles and Fields, October 15 to 19, 2002, Águas de Lindóia-SP, Brazil. To appear in the proceedings, site www.sbf1.if.usp.br/eventos/enfpc/xxiii. Preprint CBPF-NF-006/03, site cbpf.br.
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The Dirac equation for a charged particle in a static electromagnetic field is written for the special case of a spherically symmetric potential. Besides the well-known Dirac-Coulomb and Dirac-oscillator potentials, we obtain a relativistic version of the S-wave Morse potential. This is accomplished by adding a simple exponential potential term to the Dirac operator, which in the nonrelativisti...
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We do not think that the relativistic Morse potential problem has been correctly formulated and solved by A. D. Alhaidari. Key-words: Dirac equation; Dirac-Morse problem; Exact solution. PACS numbers: 03.65.Pm 03.65.Ge ∗To be submitted for publication in Phys. Rev. Lett. †Permanent address: Departamento de Ciências Exatas e da Natureza, Universidade Federal da Paráıba, Cajazeiras PB, 58.900-000...
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