×

Semiclassical quantization condition of the energy levels for the relativistic system of two fermions with arbitrary masses. (English) Zbl 1533.81087

MSC:

81V05 Strong interaction, including quantum chromodynamics
83A05 Special relativity
31B15 Potentials and capacities, extremal length and related notions in higher dimensions
47A10 Spectrum, resolvent
81V74 Fermionic systems in quantum theory
70F05 Two-body problems
81Q20 Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory
81S08 Canonical quantization
35P15 Estimates of eigenvalues in context of PDEs
78A30 Electro- and magnetostatics
81T10 Model quantum field theories
Full Text: DOI

References:

[1] R. Barbieri, R. Gatto, R. K¨ogerler, and Z.
[2] V. G. Kadyshevsky, M. D. Mateev, and R. M. Kunszt, Nucl. Phys. B 105, 125 (1976).Mir-Kasimov, Sov. J. Nucl. Phys. 11, 388 (1970).
[3] R. McClary and N. Byers, Phys. Rev. D 28, 1692
[4] V. V. Kondratjuk, Yu. D. Chernichenko, Phys. (1983).At. Nucl. 81, 51 (2018).
[5] E. Etim and L. Schu¨lke, Nuovo Cimento A 77,
[6] V. G. Kadyshevsky, R. M. Mir-Kasimov, and N. 347 (1983).B. Skachkov, Sov. J. Purt. Nucl. 2, 69 (1972).
[7] A. A. Logunov and A. N. Tavkhelidze, Nuovo
[8] N. B. Skachkov, I. L. Solovtsov, Sov. J. Nucl. Cimento 29, 380 (1963).Phys. 31, 686 (1980).
[9] V. G. Kadyshevsky, Nucl. Phys. B 6, 125 (1968).
[10] Yu. D. Chernichenko, Phys. At. Nucl. 83, 488
[11] V. G. Kadyshevsky, Sov. Phys. JETP 19, 443,(2020). 597 (1964); Sov. Phys. Dokl. 10, 46 (1965).
[12] Yu. D. Chernichenko, Phys. At. Nucl. 80, 707
[13] R. N. Faustov, Ann. Phys. (N.Y.) 78, 176 (1973).(2017).
[14] N. B. Skachkov and I. L. Solovtsov, Preprint No.
[15] Yu. D. Chernichenko, Phys. At. Nucl. 82, 158 E2-11727, JINR (Dubna, 1978); Sov. J. Nucl.(2019). Phys. 30, 562 (1979).
[16] A. V. Sidorov and N. B. Skachkov, Theor. Math.
[17] N. B. Skachkov and I. L. Solovtsov, Preprint No.Phys. 46, 141 (1981); Preprint No. P2-80-45, E2-11678, JINR (Dubna, 1978); Theor. Math.JINR (Dubna, 1980); V. I. Savrin, A. V. Sidorov, Phys. 41, 977 (1979).and N. B. Skachkov, Hadronic J. 4, 1642 (1981).
[18] A. D. Linkevich, V. I. Savrin, and N. B.
[19] Yu. D. Chernichenko, Phys. At. Nucl. 84, 339 Skachkov, Theor. Math. Phys. 53, 977 (1982).(2021).
[20] V. G. Kadyshevsky, R. M. Mir-Kasimov, and N.
[21] K. A. Olive et al. (Particle Data Group), Chin. B. Skachkov, Nuovo Cimento A 55, 233 (1968).Phys. C 38, 090001 (2014).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.