Invariant expansion of solutions of relativistic Dirac-type equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 4 (1970) no. 3, pp. 281-292 Cet article a éte moissonné depuis la source Math-Net.Ru

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An expansion is obtained of the solutions of Dirac-type equations which enables one to carry out a separation of variables. General solutions are given for particles with spin $0, 1/2, 1, 3/2$ and the nonrelativistic limit of the complete system of functions on a hyperboloid.
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N. M. Atakishiyev; I. A. Verdiev. Invariant expansion of solutions of relativistic Dirac-type equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 4 (1970) no. 3, pp. 281-292. http://geodesic.mathdoc.fr/item/TMF_1970_4_3_a0/

[1] I. S. Shapiro, DAN SSSR, 106 (1956), 647 ; ЖЭТФ, 43 (1962), 1727 | Zbl

[2] V. S. Popov, ZhETF, 37 (1959), 1116 | MR | Zbl

[3] Chzhou Guan-chzhao, L. G. Zastavenko, ZhETF, 35 (1958), 1417

[4] I. M. Gelfand, M. I. Graev, N. Ya. Vilenkin, Integralnaya geometriya i svyazannye s nei voprosy teorii predstavlenii, Fizmatgiz, 1962 | MR

[5] A. Z. Dolginov, ZhETF, 30 (1956), 746 ; А. З. Долгинов, И. Н. Топтыгин, ЖЭТФ, 37 (1959), 1441 ; А. З. Долгинов, А. Н. Москалев, ЖЭТФ, 37 (1959), 1697 | MR | Zbl | MR | Zbl | MR | Zbl

[6] M. A. Liberman, Ya. A. Smorodinskii, M. B. Sheftel, YaF, 7 (1968), 202

[7] N. Ya. Vilenkin, Ya. A. Smorodinskii, ZhETF, 46 (1964), 1793 | MR

[8] I. M. Gelfand, R. A. Minlos, Z. Ya. Shapiro, Predstavleniya gruppy vraschenii i gruppy Lorentsa, Fizmatgiz, 1958

[9] D. P. Zhelobenko, Lektsii po teorii grupp Li, Dubna, 1965

[10] I. A. Verdiev, ZhETF, 55 (1968), 1773

[11] G. I. Kuznetsov i dr., YaF, 10 (1969), 644

[12] A. K. Agamaliev, N. M. Atakishiev, I. A. Verdiev, YaF, 9 (1969), 201

[13] S. Strom, Arkiv för Fysik, 29 (1965), 467 ; 33 (1967), 465 | MR | Zbl | MR | Zbl

[14] Nguen Van Kheu, Dao Vong Dyk, DAN SSSR, 137 (1967), 1281

[15] I. A. Verdiev, L. A. Dadashev, YaF, 6 (1967), 1094

[16] I. A. Verdiev, YaF, 10 (1969), 1282 | MR

[17] I. A. Verdiev, YaF, 9 (1969), 1310 | MR

[18] E. Majorana, Nuovo Cim., 9 (1932), 335 | DOI | MR | Zbl

[19] H. J. Bhabha, Rev. Mod. Phys., 17 (1945), 200 ; 21 (1949), 451 ; Harish-Chandra, Phys. Rev., 71 (1947), 793 ; Proc. Roy. Soc., A192 (1947), 195 | DOI | MR | DOI | MR | Zbl | DOI | MR | Zbl | MR

[20] I. M. Gelfand, A. M. Yaglom, ZhETF, 18 (1948), 703 | MR

[21] M. Fierz, W. Pauli, Proc. Roy. Soc., A173 (1939), 211 | DOI | MR

[22] V. G. Kadyshevsky, R. M. Mir-Kasimov, N. B. Skachkov, Preprint IC/67/72, Trieste, 1967