A simpler solution of the Dirac equation in a Coulomb potential

American Journal of Physics

Volumn 65, Issue 3, 1997, Pages 214-221

  Goodman, Bernard ^a   Ignjatović, Siniša R ^a  

^a UNIVERSITY OF CINCINNATI   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031482647     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.18531     Document Type: Article

References (16)

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3. W. Greiner, Relativistic Quantum Mechanics (Springer-Verlag, Berlin, 1990), pp. 178-182.
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6. Claude Itzykson and Jean-Bernard Zuber, Quantum Field Theory (McGraw-Hill, New York, 1980), pp. 72-84.
7. James D. Bjørken and Sidney D. Drell, Relativistic Quantum Mechanics (McGraw-Hill, New York, 1964), pp. 46-60.
8. A. F. Nikiforov and V. B. Uvarov, Special Functions of Mathematical Physics (Birkhäuser, Boston, 1988), pp. 330-341.
9. Paul R. Auvil and Laurie M. Brown, "The relativistic hydrogen atom: A simple solution," Am. J. Phys. 46, 679-681 (1978).
10. M. K. F. Wong and Hsin-Yang Yeh, "Simplified solution of the Dirac equation with a Coulomb potential," Phys. Rev. D 25, 3396-3401 (1982).
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12. Milton Abramowitz and Irene A. Stegun (Eds.), Handbook of Mathematical Functions (Dover, New York, 1965), pp. 504-509.
13. Reference 11, pp. 117-128.
14. The physical meaning of the Foldy-Wouthuysen transformation has been elegantly described in a very recent issue of this journal: John P. Costella and Bruce H. J. McKellar, "The Foldy-Wouthuysen transformation," Am. J. Phys. 63, 1119-1121 (1995).
15. L. H. Thomas, "The kinematics of an electron with an axis," Philos. Mag. 3, 1-22 (1927); W. H. Furry, "Lorentz transformation and the Thomas precession," Am. J. Phys. 23, 517-525 (1955).
16. L. H. Thomas, "The kinematics of an electron with an axis," Philos. Mag. 3, 1-22 (1927); W. H. Furry, "Lorentz transformation and the Thomas precession," Am. J. Phys. 23, 517-525 (1955).