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Zitterbewegung in quantum theory with definite parity of operators

  • Elementary Particle Physics and Field Theory
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Abstract

It is shown that in relativistic quantum theory with definite parity of the operators the phenomenon of Zitterbewegung obtains a simple physical interpretation convenient for further application in the semiclassical situation. An equation of motion that conserves the parity of operators with allowance for Zitterbewegung is formulated. The conditions for conservation of the parity of the momentum and spin operators give criteria for the applicability of the semiclassical equations of motion of a charge and spin in external fields. The possibilities of equations with definite parity of the operators in the presence of zitterbewegung are demonstrated for the examples of a free particle and a charge moving in a homogeneous magnetic field.

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Authors and Affiliations

  1. M. V. Lomonosov State University, Moscow

    V. A. Bordovitsyn & I. M. Ternov

Authors
  1. V. A. Bordovitsyn
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  2. I. M. Ternov
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 5–9, February, 1991.

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Bordovitsyn, V.A., Ternov, I.M. Zitterbewegung in quantum theory with definite parity of operators. Soviet Physics Journal 34, 91–95 (1991). https://doi.org/10.1007/BF00940941

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  • DOI: https://doi.org/10.1007/BF00940941

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