Phys. Rev. Lett. 87, 210405 (2001) [4 pages]Solution of the Relativistic Dirac-Morse ProblemSee Also: Erratum, Publisher's Note Received 25 June 2001; published 5 November 2001 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 nonrelativistic limit reproduces the usual Morse potential. The relativistic bound-states spectrum and spinor wave functions are obtained. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.87.210405
DOI:
10.1103/PhysRevLett.87.210405
PACS:
03.65.Pm, 03.65.Ge
See AlsoComment: Arvind Narayan Vaidya and Rafael de Lima Rodrigues, Comment on “Solution of the Relativistic Dirac-Morse Problem”, Phys. Rev. Lett. 89, 068901 (2002). Erratum: A. D. Alhaidari, Erratum: Solution of the Relativistic Dirac-Morse Problem [Phys. Rev. Lett. 87, 210405 (2001)], Phys. Rev. Lett. 88, 189901 (2002). Publisher's Note: A. D. Alhaidari, Publisher's Note: Solution of the Relativistic Dirac-Morse Problem[Phys. Rev. Lett. 87, 210405 (2001)], Phys. Rev. Lett. 87, 249901 (2001). |
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.