Quantum theory of a~restricted class of motions of a~relativistic string
Teoretičeskaâ i matematičeskaâ fizika, Tome 56 (1983) no. 2, pp. 192-205

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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.
@article{TMF_1983_56_2_a3,
     author = {G. P. Pron'ko and A. V. Razumov},
     title = {Quantum theory of a~restricted class of motions of a~relativistic string},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {192--205},
     publisher = {mathdoc},
     volume = {56},
     number = {2},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_56_2_a3/}
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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/