Il Nuovo Cimento B (1971-1996)

, Volume 108, Issue 3, pp 303–312 | Cite as

Variable-phase approach to the dirac equation—bound states

  • A. Suzuki
  • Y. Nogami
Article
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Summary

For a Dirac particle subject to a central potential, conditions for the potential are obtained such that there is a bound state with zero binding energy. This is done by means of the «variable-phase approach». The potential considered consists of a Lorentz scalar and the zeroth component of a Lorentz vector, and vanishes asymptotically.

PACS

03.65.Ge Solutions of wave equations: bound states 

PACS

11.10.Qr Relativistic wave equations 
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References

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    F. Calogero:J. Math. Phys.,6, 161 (1965).MathSciNetADSCrossRefGoogle Scholar
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    F. Calogero:Nuovo Cimento,27, 261 (1963);Variable Phase Approach to Potential Scattering (Academic Press Inc., New York, N.Y., 1967).MathSciNetCrossRefGoogle Scholar
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    A. Ronveaux:Ann. Soc. Sci. Bruxelles,85, 249 (1971);Am. J. Phys.,40, 892 (1972).Google Scholar
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    L. I. Schiff:Quantum Mechanics, third edition (McGraw-Hill Book Co., New York, N.Y., 1968), Chapt. 13.MATHGoogle Scholar
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    A. Ronveaux:Am. J. Phys.,40, 888 (1972).ADSCrossRefGoogle Scholar
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    W. Greiner, B. Müller andJ. Rafelski:Quantum Electrodynamics of Strong Fields (Springer-Verlag, Berlin, 1985), p. 75.CrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica 1993

Authors and Affiliations

  • A. Suzuki
    • 1
  • Y. Nogami
    • 1
  1. 1.Department of Physics and AstronomyMcMaster University HamiltonOntarioCanada

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