Geodesic
Baryon string model III. Quantum theory of single-mode configurations of a three-string
Teoretičeskaâ i matematičeskaâ fizika, Tome 67 (1986) no. 3, pp. 396-409 
M. S. Plyushchai; G. P. Pron'ko; A. V. Razumov. Baryon string model III. Quantum theory of single-mode configurations of a three-string. Teoretičeskaâ i matematičeskaâ fizika, Tome 67 (1986) no. 3, pp. 396-409. http://geodesic.mathdoc.fr/item/TMF_1986_67_3_a5/
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     author = {M. S. Plyushchai and G. P. Pron'ko and A. V. Razumov},
     title = {Baryon string model {III.~Quantum} theory of single-mode configurations of a~three-string},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {396--409},
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     language = {ru},
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Voir la notice de l'article provenant de la source Math-Net.Ru

A model obtained by freezing infinitely many degrees of freedom of a relativistic three-string is considered. The two possible single-mode configurations of a baryon string are quantized, and it is shown that the obtained quantum systems are relativistieally iavariant.

[1] Plyuschai M. S., Pronko G. P., Razumov A. V., TMF, 63:1 (1985), 97–112 | MR

[2] Klimenko S. V., Kochin V. N., Plyuschai M. S., Pronko G. P., Razumov A. V., Samarin A. V., TMF, 64:2 (1985), 245–258 | MR

[3] Arnold V. I., Matematicheskie metody klassicheskoi mekhaniki, Nauka, M., 1979 | MR

[4] Borodulin V. I., Zorin O. L., Pronko G. P., Razumov A. V., Solovev L. D., TMF, 65:1 (1985), 119–140 | MR

[5] Razumov A. V., Dependent Coordinates in Classical Mechanics, Preprint IHEP 84-86, IHEP, Serpukhov, 1984

[6] Budanov V. G., Razumov A. V., Taranov A. Yu., O skalyarnom proizvedenii dlya sistem so svyazyami pervogo roda, Preprint IFVE 81-68, IFVE, Serpukhov, 1981

[7] Davydov A. S., Kvantovaya mekhanika, Nauka, M., 1973 ; Биденхарн Л., Лаук Дж., Угловой момент в квантовой физике, т. 2, Мир, М., 1984 | MR

[8] Casimir H. B. G., Rotation of a Rigid Body in Quantum Mechanics, J. B. Wolter's, Groningen, 1931; Bopp F., Haag R., Z. Naturforsch., 5a (1950), 644–653 | MR | Zbl

[9] Schulman L., Phys. Rev., 176:5 (1968), 1558–1569 | DOI | MR

[10] Pronko G. P., Razumov A. V., TMF, 56:2 (1983), 192–205 | MR | Zbl

[11] Dirak P. A. M., Lektsii po kvantovoi mekhanike, Mir, M., 1968

[12] Takabayasi T., Progr. Theor. Phys. Suppl., 1979, no. 67, 1–68 | DOI | MR