Pseudoclassical Foldy--Wotehoissen transformation and canonical quantization of $D=2n$-dimensional relativistic spin particle in external electromagnetic field
Teoretičeskaâ i matematičeskaâ fizika, Tome 102 (1995) no. 3, pp. 378-383
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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.
@article{TMF_1995_102_3_a6,
author = {G. V. Grigoryan and R. P. Grigoryan},
title = {Pseudoclassical {Foldy--Wotehoissen} transformation and canonical quantization of $D=2n$-dimensional relativistic spin particle in external electromagnetic field},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {378--383},
publisher = {mathdoc},
volume = {102},
number = {3},
year = {1995},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1995_102_3_a6/}
}
TY - JOUR AU - G. V. Grigoryan AU - R. P. Grigoryan TI - Pseudoclassical Foldy--Wotehoissen transformation and canonical quantization of $D=2n$-dimensional relativistic spin particle in external electromagnetic field JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1995 SP - 378 EP - 383 VL - 102 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1995_102_3_a6/ LA - ru ID - TMF_1995_102_3_a6 ER -
%0 Journal Article %A G. V. Grigoryan %A R. P. Grigoryan %T Pseudoclassical Foldy--Wotehoissen transformation and canonical quantization of $D=2n$-dimensional relativistic spin particle in external electromagnetic field %J Teoretičeskaâ i matematičeskaâ fizika %D 1995 %P 378-383 %V 102 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1995_102_3_a6/ %G ru %F TMF_1995_102_3_a6
G. V. Grigoryan; R. P. Grigoryan. Pseudoclassical Foldy--Wotehoissen transformation and canonical quantization of $D=2n$-dimensional relativistic spin particle in external electromagnetic field. Teoretičeskaâ i matematičeskaâ fizika, Tome 102 (1995) no. 3, pp. 378-383. http://geodesic.mathdoc.fr/item/TMF_1995_102_3_a6/