Geodesic
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 
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/
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     author = {G. V. Grigoryan and R. P. Grigoryan},
     title = {Pseudoclassical {Foldy{\textendash}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},
     year = {1995},
     volume = {102},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1995_102_3_a6/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Grigoryan G. V., Grigoryan R. P., YaF, 53 (1991), 1737 | MR

[2] Grigoryan G. V., Grigoryan R. P., ZhETF, 103 (1993), 3

[3] Grigoryan G. V., Grigoryan R. P., Preprint YERPHI-1377(7)-92 | Zbl

[4] Berezin F. A., Marinov M. S., Ann. Phys. (N. Y.), 104 (1977), 336 | DOI | Zbl

[5] Casalbuoni R., Nuovo Cim., 33A (1976), 115 | DOI | MR

[6] Bardicci A. et al., Nuovo Cim., 35A (1976), 377 | DOI

[7] Brink et al., Phys. Lett., 64B (1976), 435 ; Nucl. Phys., B118 (1977), 76 | DOI | DOI | MR

[8] Gitman D. M., Tyutin I. V., Pisma v ZhETF, 51 (1990), 188

[9] Blount E. I., Phys. Rev., 126 (1962), 1636 ; 128, 2454 | DOI | MR | Zbl | DOI | Zbl

[10] Bardicci A. et al., Phys. Lett., 64B (1976), 319 | DOI

[11] Galvao C., Teitelboim C., J. Math. Phys., 21 (1980), 1863 | DOI | MR

[12] Sudarshan E. C. G., Mukunda N., Classical dynamics: A modern perspective, New York, 1974 | MR

[13] Gitman D. M., Tyutin I. V., Kanonicheskoe kvantovanie polei so svyazyami, Nauka, M., 1986 | MR | Zbl