Pseudoclassical Foldy–Wotehoissen transformation and canonical quantization of $D=2n$-dimensional relativistic spin particle in external electromagnetic field

G. V. Grigoryan, R. P. Grigoryan

Yerevan Physics Institute

Abstract: The canonical quantization of the $D=2n$-dimensional Dirac spin particle in an arbitrary electromagnetic field is performed in a gauge, that allows one to describe particles and antiparticles (both massive and massless) simultaneously just on the classical level. To find the canonical (Newton–Wigner) coordinates the pseudoclassical Foldy–Wotehoissen transformation is used. The connection of this quantization scheme with Blount's approach to Dirac particle in the external electromagnetic field is discussed.

Received: 09.04.1994

 English version: Theoretical and Mathematical Physics, 1995, 102:3, 275–279

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