Geodesic
Quantization of the spinor field in a spherical universe
Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 1, pp. 77-89 
N. A. Chernikov; N. S. Shavokhina. Quantization of the spinor field in a spherical universe. Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 1, pp. 77-89. http://geodesic.mathdoc.fr/item/TMF_1973_16_1_a8/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Dirac's equation in a spherical universe is solved by separation of variables. A complete countable set of electron and positron creation and annihilation operators is obtained. The operators of the most important physical quantities are constructed.

[1] P. A. M. Dirac, Annals of Mathematics, 36 (1935), 657 | DOI | MR | Zbl

[2] N. A. Chernikov, N. S. Shavokhina, Preprint P2-6109, OIYaI, 1971

[3] N. A. Chernikov, N. S. Shavokhina, Preprint P2-6173, OIYaI, 1971

[4] N. S. Shavokhina, TMF, 10 (1972), 412

[5] N. Ya. Vilenkin, Spetsialnye funktsii i teoriya predstavlenii grupp, «Nauka», 1965 | MR

[6] N. N. Bogolyubov, ZhETF, 34 (1958), 58 | Zbl

[7] N. A. Chernikov, E. A. Tagirov, Ann. Inst. Henri Poincare, Sect A, IX, no. 2, Paris, 1968 | Zbl