G. P. Pron'ko, A. V. Razumov, “Quantum theory of a restricted class of motions of a relativistic string”, TMF, 56:2 (1983), 192–205; Theoret. and Math. Phys., 56:2 (1983), 760

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Teoreticheskaya i Matematicheskaya Fizika, 1983, Volume 56, Number 2, Pages 192–205 (Mi tmf2204)

This article is cited in 17 scientific papers (total in 17 papers)

Quantum theory of a restricted class of motions of a relativistic string

G. P. Pron'ko, A. V. Razumov

Full-text PDF (826 kB) Citations (17)

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Abstract: 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.

Received: 21.09.1982

English version:
Theoretical and Mathematical Physics, 1983, Volume 56, Issue 2, Pages 760–770
DOI: https://doi.org/10.1007/BF01016817

Bibliographic databases:

Language: Russian

Citation: G. P. Pron'ko, A. V. Razumov, “Quantum theory of a restricted class of motions of a relativistic string”, TMF, 56:2 (1983), 192–205; Theoret. and Math. Phys., 56:2 (1983), 760–770

Citation in format AMSBIB

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\jour Theoret. and Math. Phys.

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\crossref{https://doi.org/10.1007/BF01016817}

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Linking options:

https://www.mathnet.ru/eng/tmf2204

https://www.mathnet.ru/eng/tmf/v56/i2/p192

This publication is cited in the following 17 articles:

JETP Letters, 88:3 (2008), 151–156
S. S. Gershtein, A. K. Likhoded, A. V. Luchinsky, “Systematics of heavy quarkonia on the basis of Regge trajectories”, Phys. Atom. Nuclei, 70:4 (2007), 759
Andrianov, AA, “Chiral dynamics from the hadronic string: General formalism”, International Journal of Modern Physics A, 21:16 (2006), 3337
S. S. Gershtein, A. K. Likhoded, A. V. Luchinsky, “Systematics of heavy quarkonia from Regge trajectories on(n,M2)and(M2,J)planes”, Phys. Rev. D, 74:1 (2006)
A. A. Andrianov, D. Espriu, “Strings and Pions”, Theoret. and Math. Phys., 135:3 (2003), 745–756
L. D. Solov'ev, “Multimode Relativistic String: Classical Solutions and Quantization”, Theoret. and Math. Phys., 136:3 (2003), 1225–1250
Nikitin, I, “Structure of singularities on the world sheets of relativistic strings”, Physics of Particles and Nuclei, 34 (2003), S54
J. ALFARO, L. BALART, A. A. ANDRIANOV, D. ESPRIU, “HADRONIC STRING, CONFORMAL INVARIANCE AND CHIRAL SYMMETRY”, Int. J. Mod. Phys. A, 18:14 (2003), 2501
L. D. Solov'ev, “Glueballs in the string quark model”, Theoret. and Math. Phys., 126:2 (2001), 203–211
L. D. Solov'ev, “A relativistic quark model of mesons”, Theoret. and Math. Phys., 116:2 (1998), 914–932
Klimenko, SV, “Exotic solutions in string theory”, Nuovo Cimento Della Societa Italiana Di Fisica A-Nuclei Particles and Fields, 111:12 (1998), 1431
Burkin, VV, “Visualization and animation of dynamics of relativistic strings”, Programming and Computer Software, 24:6 (1998), 320
I. N. Nikitin, “Special types of string motions with anomaly-free quantization”, Theoret. and Math. Phys., 109:2 (1996), 1400–1409
E. B. Berdnikov, G. P. Pron'ko, “Hamiltonian dynamics of finite-gap configurations of relativistic strings”, Theoret. and Math. Phys., 81:1 (1989), 1078–1087
M. S. Plyushchai, G. P. Pron'ko, A. V. Razumov, “Baryon string model III. Quantum theory of single-mode configurations of a three-string”, Theoret. and Math. Phys., 67:3 (1986), 576–585
S. V. Klimenko, V. N. Kochin, M. S. Plyushchai, G. P. Pron'ko, A. V. Razumov, A. V. Samarin, “Baryon string model. II. Special solutions of classical three-string equations of motion”, Theoret. and Math. Phys., 64:2 (1985), 810–819
V. I. Borodulin, O. L. Zorin, G. P. Pron'ko, A. V. Razumov, L. D. Solov'ev, “Single-mode approximation in the quantum theory of a relativistic string. String field”, Theoret. and Math. Phys., 65:1 (1985), 1050–1065

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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