Ambiguity of Perturbative Dirac Theory

  • Degeneracy of parity even and odd electron solutions of the free Dirac equation may cause uncertainties in first order calculation of the perturbatiove energy.Choosing the even parity solution to start perturbation is though direct,not theoretically well supported.The arbitrariness in choosing lowest order electron wave functions causes nucertainties in the Foldy-Wouthuysen transformations and reduction of the Pauli equation from the Dirac equation.
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  • [1] E. g. J. D. Bjorken and S. D. Drell, Relativistic Quantum Theory (McGraw-Hill, 1964) p. 12.[2] E.g. L. Schiff, Quantum Mechanics (McGraw-Hill, 1949) p157.[3] D. L, Pursey, Nucl. Phys., 13(1958), 595; E. Eriksen, Phys, Rev., 111(1958), 1011; M. V. Barnhill Ⅲ Nucl, Phys., A131(1969), 106.
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WU Dan-Di. Ambiguity of Perturbative Dirac Theory[J]. Chinese Physics C, 1992, 16(2): 183-186.
WU Dan-Di. Ambiguity of Perturbative Dirac Theory[J]. Chinese Physics C, 1992, 16(2): 183-186. shu
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Received: 1900-01-01
Revised: 1900-01-01
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Ambiguity of Perturbative Dirac Theory

    Corresponding author: WU Dan-Di,
  • Institute of High Energy Physics,Academia Sinica,Beijing 100039

Abstract: Degeneracy of parity even and odd electron solutions of the free Dirac equation may cause uncertainties in first order calculation of the perturbatiove energy.Choosing the even parity solution to start perturbation is though direct,not theoretically well supported.The arbitrariness in choosing lowest order electron wave functions causes nucertainties in the Foldy-Wouthuysen transformations and reduction of the Pauli equation from the Dirac equation.

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