Poincaré invariant differential equations for particles of arbitrary spin
Teoretičeskaâ i matematičeskaâ fizika, Tome 34 (1978) no. 3, pp. 319-333 Cet article a éte moissonné depuis la source Math-Net.Ru

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Differential equations of first and second order describing the motion of a relativistic particle with arbitrary spin are derived. These equations provide the basis for an exact solution of the problem of the motion of a particle of arbitrary spin in a homogeneous magnetic field. Covariant operators for the coordinate and spin of the particle are found, and these differ from the well-known Newton–Wigner and Foldy–Wouthuysen operators. The Hamiltonian of a particle interacting with an external electromagnetic field is approximately diagonalized.
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     title = {Poincar\'e invariant differential equations for particles of arbitrary spin},
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A. G. Nikitin; W. I. Fushchych. Poincaré invariant differential equations for particles of arbitrary spin. Teoretičeskaâ i matematičeskaâ fizika, Tome 34 (1978) no. 3, pp. 319-333. http://geodesic.mathdoc.fr/item/TMF_1978_34_3_a3/

[1] W. Tsai, A. Yildis, Phys. Rev., D4 (1971), 3643

[2] G. Velo, D. Zwanzinger, Phys. Rev., 186 (1969), 2218 ; M. Seetharaman, I. Prabhakaran, P. M. Mathews, Phys. Rev., D12 (1975), 458 | DOI

[3] V. I. Fuschich, A. L. Grischenko, A. G. Nikitin, TMF, 8 (1971), 192 ; Preprint ITF-70-89E, Kiev, 1970 | Zbl

[4] V. I. Fushchich, A. G. Nikitin, Rep. Math. Phys., 8 (1975), 33 ; А. Г. Никитин, УФЖ, 18 (1973), 1605; 19 (1974), 1000 | DOI | MR

[5] V. I. Fuschich, A. G. Nikitin, Differentsialnye uravneniya dvizheniya pervogo i vtorogo poryadka dlya chastits s proizvolnym spinom, izd. Instituta matematiki AN USSR, Kiev, 1977 | MR

[6] D. L. Weaver, C. L. Hammer, R. H. Good, Phys. Rev., 135B (1964), 241 | DOI | MR

[7] P. M. Mathews, Phys. Rev., 143 (1966), 978 ; I. Jayaraman, Nuovo Cim., A13 (1973), 877 ; A14 (1973), 343 | DOI | MR | Zbl | DOI | MR | DOI | MR

[8] R. F. Guertin, Ann. Phys., 88 (1974), 504 ; 91 (1975), 386 | DOI | MR | DOI | MR

[9] I. E. Tamm, DAN SSSR, 29 (1940), 551 | MR | Zbl

[10] R. F. Guertin, Preprint Rice University, Houston, 1975

[11] L. L. Foldy, Phys. Rev., 102 (1956), 568 | DOI | MR | Zbl

[12] Yu. M. Shirokov, ZhETF, 33 (1957), 1196 | Zbl

[13] I. S. Lomont, Phys. Rev., 111 (1958), 1710 | DOI | MR | Zbl

[14] I. S. Lomont, H. E. Moses, Phys. Rev., 118 (1960), 337 ; I. S. Dowker, Proc. Roy. Soc., A293 (1967), 351 | DOI | MR | Zbl | DOI | Zbl

[15] S. Shveber, Vvedenie v relyativistskuyu kvantovuyu teoriyu polya, IL, 1963, str. 69

[16] L. L. Foldy, S. A. Wouthuysen, Phys. Rev., 78 (1950), 29 | DOI | Zbl

[17] B. Durand, Phys. Rev., D14 (1976), 1554 | MR

[18] G. A. Zaitsev, ZhETF, 28 (1955), 524 ; ДАН СССР, 113 (1957), 1248 ; R. P. Feynman, M. Gell-Mann, Phys. Rev., 109 (1958), 193 | Zbl | Zbl | DOI | MR | Zbl

[19] W. I. Hurley, Phys. Rev., D4 (1971), 3605 | MR

[20] K. R. James, Proc. Phys. Soc. (London), 1 (1968), 334

[21] A. I. Akhiezer, V. B. Berestetskii, Kvantovaya elektrodinamika, «Nauka», 1969, str. 142 | MR