Geodesic
Model of a theory of elementary particles in a space with curvature
Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 3, pp. 291-302 
S. B. Leble; I. A. Terent'ev. Model of a theory of elementary particles in a space with curvature. Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 3, pp. 291-302. http://geodesic.mathdoc.fr/item/TMF_1973_16_3_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Quantum mechanics in a space of six dimensions with curvature is considered. Equations of motion of elementary entities with arbitrary spin are obtained. The spectra[ properties of the mass operator for particles with spin $0$, $1/2$ and $1$ are investigated as an illustration.

[1] V. Fock, J. Phys. Radium, 10 (1929), 392 | DOI | Zbl

[2] V. A. Franke, Vestnik LGU, 16 (1969), 3

[3] L. I. Eizenkhart, Nepreryvnye gruppy preobrazovanii, IL, 1947

[4] S. B. Leble, Diplomnaya rabota, LGU, 1967

[5] M. A. Naimark, Lineinye differentsialnye operatory, Gostekhizdat, 1969 | MR

[6] S. B. Leble, I. A. Terentev, Trudy kafedry teoreticheskoi fiziki, KGU, Kaliningrad, 1970

[7] O. A. Golubev, Diplomnaya rabota, LGU, 1967

[8] H. Ahner, J. Anderson, Phys. Rev., D1 (1970), 488 | MR