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Relations between quantum defects and phase shifts for the Klein-Gordon and Dirac equations

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Abstract

Seaton's relation, which forms the basis of the quantum defect method, is generalized to the relativistic case. A connection is established between the quantum defects of discrete levels and the phase shift of the continuum wave function for the Klein-Gordon and Dirac equations. The possibility of applying these relations, in particular to the study of mesoatoms, is discussed.

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Literature cited

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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 59–62, August, 1977.

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Zilitis, V.A. Relations between quantum defects and phase shifts for the Klein-Gordon and Dirac equations. Soviet Physics Journal 20, 1031–1034 (1977). https://doi.org/10.1007/BF00892830

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Keywords

  • Wave Function
  • Phase Shift
  • Dirac Equation
  • Continuum Wave
  • Relativistic Case