Quasipotential models of a relativistic oscillator
Teoretičeskaâ i matematičeskaâ fizika, Tome 44 (1980) no. 1, pp. 47-62
N. M. Atakishiyev; R. M. Mir-Kassimov; Sh. M. Nagiyev. Quasipotential models of a relativistic oscillator. Teoretičeskaâ i matematičeskaâ fizika, Tome 44 (1980) no. 1, pp. 47-62. http://geodesic.mathdoc.fr/item/TMF_1980_44_1_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Two exactly solvable one-dimensional models of the relativistic harmonic oscillator are investigated in the framework of the quasipotential approach in quantum field theory. For both models the coherent states are constructed and the dynamical symmetry groups are found.

[1] H. Yukawa, Phys. Rev., 91 (1953), 415 | DOI | MR

[2] M. A. Markov, Nuovo Cim., 10 (1956), 760 | DOI

[3] P. N. Bogolyubov, V. A. Matveev, B. V. Struminskii, Preprint OIYaI R-2442, Dubna, 1965

[4] R. P. Feynman, M. Kislinger, F. Ravndal, Phys. Rev., D3 (1971), 2706

[5] Y. S. Kim, M. E. Noz, Phys. Rev., D8 (1973), 3521 ; D15 (1977), 335; Y. S. Kim, Phys. Rev., D14 (1976), 273 | MR

[6] R. J. Glauber, Phys. Rev. Lett., 10 (1963), 84 | DOI | MR

[7] I. A. Malkin, V. I. Manko, Preprint FIAN No 15, 1971

[8] V. A. Matveev, A. N. Tavkhelidze, Preprint JINR E2-5141, Dubna, 1970

[9] Kh. D. Popov, D. Ts. Stoyanov, A. N. Tavkhelidze, TMF, 12 (1970), 370

[10] I. V. Polubarinov, Preprint JINR E2-0332, Dubna, 1975

[11] A. A. Logunov, A. N. Tavkhelidze, Nuovo Cim., 29 (1963), 380 | DOI | MR

[12] V. G. Kadyshevsky, Nucl. Phys., B6 (1968), 125 | DOI

[13] V. G. Kadyshevsky, R. M. Mir-Kasimov, N. B. Skachkov, Nuovo Cim., 55A (1968), 233 | DOI

[14] M. Freeman, M. D. Mateev, R. M. Mir-Kasimov, Nucl. Phys., B12 (1969), 24

[15] A. D. Donkov, V. G. Kadyshevskii, M. D. Mateev, R. M. Mir-Kasimov, TMF, 8 (1971), 61

[16] N. M. Atakishiyev, R. M. Mir-Kasimov, Sh. Nagiyev, Preprint JINR E2-12367, Dubna, 1979 | MR

[17] V. V. Dodonov, I. A. Malkin, V. I. Man'ko, Physica, 72 (1974), 597 | DOI | MR

[18] A. O. Barut, Phys. Rev., 139B (1965), 1433 | DOI | MR

[19] N. A. Chernikov, Mezhdunarodnaya shkola teoreticheskoi fiziki pri OIYaI, t. 3, Dubna, 1964, 151 | Zbl