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 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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{\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/}
}
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
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
%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/

[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