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Pseudoclassical Foldy-Wouthuysen transformation and canonical quantization of (D=2n)-dimensional relativistic particle with spin in an external electromagnetic field

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Abstract

The canonical quantization of a (D=2n)-dimensional Dirac particle with spin in an arbitrary external electromagnetic field is performed in a gauge that makes it possible to describe simultaneously particles and antiparticles (both massive and massiess) already at the classical level. A pseudoclassical Foldy-Wouthuysen transformation is used to find the canonical (Newton-Wigner) coordinates. The connection between this quantization scheme and Blount's picture describing the behavior of a Dirac particle in an external electromagnetic field is discussed.

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Authors
  1. G. V. Grigoryan
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  2. R. P. Grigoryan
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Additional information

Erevan Physics Institute. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 102, No. 3, pp. 378–383, March, 1995.

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Grigoryan, G.V., Grigoryan, R.P. Pseudoclassical Foldy-Wouthuysen transformation and canonical quantization of (D=2n)-dimensional relativistic particle with spin in an external electromagnetic field. Theor Math Phys 102, 275–279 (1995). https://doi.org/10.1007/BF01017879

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  • DOI: https://doi.org/10.1007/BF01017879

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