Keywords: Weyl equation, spinor
@article{TMF_2024_219_3_a1,
author = {N. G. Marchuk},
title = {A class of field equations for neutrinos with nonzero masses},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {422--439},
year = {2024},
volume = {219},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2024_219_3_a1/}
}
N. G. Marchuk. A class of field equations for neutrinos with nonzero masses. Teoretičeskaâ i matematičeskaâ fizika, Tome 219 (2024) no. 3, pp. 422-439. http://geodesic.mathdoc.fr/item/TMF_2024_219_3_a1/
[1] L. D. Landau, “Ob odnoi vozmozhnosti dlya polyarizatsionnykh svoistv neitrino”, ZhETF, 32:2 (1957), 407–408
[2] A. Salam, “On parity conservation and neutrino mass”, Nuovo Cimento, 5:1 (1957), 299–301 | DOI | MR
[3] T. D. Lee, C. N. Yang, “Question of parity conservation in weak interactions”, Phys. Rev., 104:1 (1956), 254–258 ; Erratum 106:6 (1957), 1371–1371 | DOI | DOI
[4] H. Weyl, “Gravitation and the electron”, Proc. Nat. Acad. Sci. USA, 15:4 (1929), 323–334 | DOI
[5] B. Pontekorvo, “Mezonii i antimezonii”, ZhETF, 33:2 (1957), 549–551
[6] M. S. Athar, S. W. Barwick, T. Brunner et al., “Status and perspectives of neutrino physics”, Prog. Part. Nucl. Phys., 124 (2022), 103947, 209 pp., arXiv: 2111.07586 | DOI
[7] R. L. Workman, V. D. Burkert, V. Crede et al. (Particle Data Group), “Review of particle physics”, Prog. Theor. Exp. Phys., 2022:8 (2022), 083C01, 53 pp. | DOI
[8] D. V. Ahluwalia-Khalilova, D. Grumiller, “Spin-half fermions with mass dimension one: theory, phenomenology, and dark matter”, J. Cosmol. Astropart. Phys., 2005:7 (2005), 012, 72 pp., arXiv: 0412.080 | DOI
[9] D. V. Ahluwalia, A. Ch. Nayak, “Elko and mass dimension one field of spin one half: causality and Fermi statistics”, Int. J. Mod. Phys. D, 23:14 (2015), 1430026, 11 pp., arXiv: 1502.01940 | DOI | Zbl
[10] N. G. Marchuk, D. S. Shirokov, Teoriya algebr Klifforda i spinorov, Krasand (URSS), M., 2021
[11] J. F. Cornwell, Group Theory in Physics, v. 1, Academic Press, London, 1984 | MR
[12] D. Shirokov, “Calculation of elements of spin groups using method of averaging in Clifford's geometric algebra”, Adv. Appl. Clifford Algebr., 29:3 (2019), 50, 12 pp., arXiv: 1901.09405 | DOI | MR
[13] E. Majorana, “Teoria simmetrica Dell'elettrone e del positrone”, Nuovo Cimento, 14:4 (1937), 171–184 | DOI
[14] E. Marsch, “A new route to the Majorana equation”, Symmetry, 5:4 (2013), 271–286 | DOI | MR
[15] S. S. Shveber, Vvedenie v relyativistskuyu kvantovuyu teoriyu polya, IL, M., 1963 | MR
[16] A. Barut, R. Ronchka, Teoriya predstavlenii grupp i ee prilozheniya, v. 1, 2, Mir, M., 1980 | DOI | MR | Zbl
[17] I. L. Buchbinder, S. M. Kuzenko, Ideas and Methods of Supersymmetry and Supergravity: Or a Walk Through Superspace, Studies in High Energy Physics, Cosmology and Gravitation, CRC Press, London, 1998 | MR
[18] P. J. Olver, Equivalence, Invariants, and Symmetry, Cambridge Univ. Press, Cambridge, 1995 | DOI | MR
[19] L. V. Ovsyannikov, Gruppovoi analiz differentsialnykh uravnenii, Nauka, M., 1978 | MR | MR | Zbl
[20] N. Kh. Ibragimov, Gruppy preobrazovanii v matematicheskoi fizike, Nauka, M., 1983 | MR