Summary
It is shown that the absence of bound states for strong Coulomb fields in the Dirac theory can be understood using classical dynamics.
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References
E. Merzbacher:Quantum Mechanics, 2nd edition (John Wiley and Sons, New York, N.Y., 1961), p. 606.
T. Kato:Perurbation Theory of Linear Operators, 2nd edition (Springer-Verlag, Berlin, 1976), p. 307, theorem 5.10.
C. Burnap, H. Brysk andP. F. Zweifel:Nuovo Cimento B,64, 407 (1981).
L. D. Landau andE. M. Lifshift:The Classical Theory of Fields, 4th revised English edition (Pergamon Press, Oxford, 1975), sect. 39, eq. (39.2).
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Willis, B.L. Classical description of the absence of bound states for strong coulomb fields. Nuov Cim B 108, 217–218 (1993). https://doi.org/10.1007/BF02874412
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DOI: https://doi.org/10.1007/BF02874412