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TMF, 1995, Volume 102, Number 3, Pages 378–383 (Mi tmf1275)  

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.

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

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Received: 09.04.1994

Citation: G. V. Grigoryan, R. P. Grigoryan, “Pseudoclassical Foldy–Wotehoissen transformation and canonical quantization of $D=2n$-dimensional relativistic spin particle in external electromagnetic field”, TMF, 102:3 (1995), 378–383; Theoret. and Math. Phys., 102:3 (1995), 275–279

Citation in format AMSBIB
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\paper Pseudoclassical Foldy--Wotehoissen transformation and canonical quantization of $D=2n$-dimensional relativistic spin particle in external electromagnetic field
\jour TMF
\yr 1995
\vol 102
\issue 3
\pages 378--383
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\transl
\jour Theoret. and Math. Phys.
\yr 1995
\vol 102
\issue 3
\pages 275--279
\crossref{https://doi.org/10.1007/BF01017879}
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