Geodesic
Quantum theory of a restricted class of motions of a relativistic string
Teoretičeskaâ i matematičeskaâ fizika, Tome 56 (1983) no. 2, pp. 192-205 Cet article a éte moissonné depuis la source Math-Net.Ru

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A model obtained by freezing an infinite number of degrees of freedom of a relativistic string is considered. The system is quantized and it is shown that the model has a rich spectrum of states and nonlinear Regge trajectories. Relativistic invariance of the obtained quantum system is proved. A comparison is made with the covariant method of quantization of a relativistic string. 
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G. P. Pron'ko; A. V. Razumov. Quantum theory of a restricted class of motions of a relativistic string. Teoretičeskaâ i matematičeskaâ fizika, Tome 56 (1983) no. 2, pp. 192-205. http://geodesic.mathdoc.fr/item/TMF_1983_56_2_a3/

[1] Rebbi C., Phys. Rep., 12C:1 (1974), 1–73 ; Mandelstam S., Phys. Rep., 13C:6 (1974), 259–353 ; Scherk J., Rev. Mod. Phys., 47:1 (1975), 123–164 ; Барбашов Б. М., Нестеренко В. В., ЭЧАЯ, 9:5 (1978), 709–758 | DOI | MR | DOI | DOI | MR | MR

[2] Razumov A. V., TMF, 49:2 (1981), 164–177 | MR

[3] Pryce M. H. L., Proc. Roy. Soc., A195:1040 (1948), 62–81 ; Hanson A. J., Regge T., Ann. Phys., 87:2 (1974), 498–566 | DOI | MR | Zbl | DOI | MR

[4] Newton T. D., Wigner E. P., Rev. Mod. Phys., 21:3 (1949), 400–406 | DOI | Zbl

[5] Dirac P. A. M., Phys. Rev., 74:7 (1948), 817–830 ; Барбашов Б. М., Черников Н. А., ЖЭТФ, 50:5 (1966), 1296–1308 ; 51:2(8), 658–668; Nambu Y., Lectures for Copenhagen Symp., 1970; Goto T., Progr. Theor. Phys., 46:5 (1971), 1560–1569 | DOI | MR | Zbl | MR | DOI | MR | Zbl

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

[7] Pronko G. P., Razumov A. V., Solovev L. D., Klassicheskaya dinamika relyativistskoi struny, Preprint IFVE 82-82, Serpukhov, 1982

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

[9] Razumov A. V., Taranov A. Yu., TMF, 52:1 (1982), 34–43 | MR | Zbl

[10] Gotay M. J., Nester J. M., Hinds G., J. Math. Phys., 19:11 (1978), 2388–2399 | DOI | MR | Zbl

[11] Novozhilov Yu. V., Vvedenie v teoriyu elementarnykh chastits, Nauka, M., 1972 | MR | Zbl

[12] Slavnov A. A., Faddeev L. D., Vvedenie v kvantovuyu teoriyu kalibrovochnykh polei, Nauka, M., 1978 | MR