Geodesic
Field equation for baryons with arbitrary spin (Generalization of the Dirac equation)
Teoretičeskaâ i matematičeskaâ fizika, Tome 40 (1979) no. 1, pp. 64-76 
I. S. Vaklev; M. I. Ivanov; A. B. Nikolov. Field equation for baryons with arbitrary spin (Generalization of the Dirac equation). Teoretičeskaâ i matematičeskaâ fizika, Tome 40 (1979) no. 1, pp. 64-76. http://geodesic.mathdoc.fr/item/TMF_1979_40_1_a6/
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     author = {I. S. Vaklev and M. I. Ivanov and A. B. Nikolov},
     title = {Field equation for baryons with arbitrary spin {(Generalization} of the {Dirac} equation)},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {64--76},
     year = {1979},
     volume = {40},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1979_40_1_a6/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The group scheme developed in [1, 2] provides the basis for a field equation that generalizes the Dirac equation for baryons with arbitrary spin. The solutions of the field equation are analyzed in the spirit of Dirac theory, which demonstrates the potential of the group scheme. The operation of charge conjugation is also generalized. Free fields are treated throughout; the corresponding theory of interacting fields will be the subject of a later paper.

[1] A. Nikolov, Ann. Phys. (N. Y.), 85 (1974), 438 | DOI | MR | Zbl

[2] A. Nikolov, Ann. Phys. (N. Y.), 89 (1975), 181 | DOI | MR

[3] N. N. Bogolyubov, A. A. Logunov, I. T. Todorov, Osnovy aksiomaticheskogo podkhoda v kvantovoi teorii polya, «Nauka», 1969 | MR

[4] N. Ya. Vilenkin, Spetsialnye funktsii i teoriya predstavlenii grupp, «Nauka», 1965 | MR

[5] I. S. Vaklev, S. B. Drenska, M. I. Ivanov, A. V. Nikolov, TMF, 14 (1973), 56

[6] I. T. Todorov, Discrete Series of Hermitian Representations of the Lie Algebra of $U(p, q)$, Lecture Notice, Preprint IC/66/71, Trieste, 1966

[7] N. N. Bogolyubov, D. V. Shirkov, Vvedenie v teoriyu kvantovannykh polei, «Nauka», 1976 | MR

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