@article{TMF_1989_80_2_a8,
author = {I. Yu. Krivsky and V. M. Simulik},
title = {Noether analysis of~zilch conservation laws and their generalization for the electromagnetic field. {I.~Use} of~different formulations of~the principle of~least action},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {274--287},
year = {1989},
volume = {80},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1989_80_2_a8/}
}
TY - JOUR AU - I. Yu. Krivsky AU - V. M. Simulik TI - Noether analysis of zilch conservation laws and their generalization for the electromagnetic field. I. Use of different formulations of the principle of least action JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1989 SP - 274 EP - 287 VL - 80 IS - 2 UR - http://geodesic.mathdoc.fr/item/TMF_1989_80_2_a8/ LA - ru ID - TMF_1989_80_2_a8 ER -
%0 Journal Article %A I. Yu. Krivsky %A V. M. Simulik %T Noether analysis of zilch conservation laws and their generalization for the electromagnetic field. I. Use of different formulations of the principle of least action %J Teoretičeskaâ i matematičeskaâ fizika %D 1989 %P 274-287 %V 80 %N 2 %U http://geodesic.mathdoc.fr/item/TMF_1989_80_2_a8/ %G ru %F TMF_1989_80_2_a8
I. Yu. Krivsky; V. M. Simulik. Noether analysis of zilch conservation laws and their generalization for the electromagnetic field. I. Use of different formulations of the principle of least action. Teoretičeskaâ i matematičeskaâ fizika, Tome 80 (1989) no. 2, pp. 274-287. http://geodesic.mathdoc.fr/item/TMF_1989_80_2_a8/
[1] Fuschich V. I., Nikitin A. G., Simmetriya uravnenii Maksvella, Naukova dumka, Kiev, 1983 | MR
[2] Vladimirov V. S., Volovich I. V., UMN, 40:4(244) (1985), 17–26 | MR | Zbl
[3] Vladimirov V. S., Volovich I. V., DAN SSSR, 280:2 (1985), 328–333 | MR | Zbl
[4] Abellanas L., Galindo A., Commun. Math. Phys., 79:3 (1981), 341–351 | DOI | MR | Zbl
[5] Hojman S., J. Phys., A17:12 (1984), 2399–2412 | MR | Zbl
[6] Hojman S., Gomes J., J. Math. Phys., 25:6 (1984), 1776–1779 | DOI | MR | Zbl
[7] Ovsyannikov L. V., Gruppovoi analiz differentsialnykh uravnenii, Nauka, M., 1978, 400 pp. | MR
[8] Ibragimov N. Kh., Gruppy preobrazovanii v matematicheskoi fizike, Nauka, M., 1983 | MR
[9] Khamitova R. S., TMF, 52:2 (1982), 244–251 | MR | Zbl
[10] Bessel-Hagen E., Math. Ann., 84 (1921), 258–276 | DOI | MR | Zbl
[11] Plybon B. F., Amer. J. Phys., 42:11 (1974), 998–1001 | DOI | MR
[12] Lipkin D. M., J. Math. Phys., 5:5 (1964), 696–700 | DOI | MR | Zbl
[13] Fradkin D. M., J. Math. Phys., 6:6 (1965), 879–890 | DOI | MR
[14] Kibble T. W. B., J. Math. Phys., 6:7 (1965), 1022–1026 | DOI | MR
[15] Candlin P. I., Nuovo Cim., 37:4 (1965), 1390–1395 | DOI | MR | Zbl
[16] O'Connell R. F., Tompkins D. R., Nuovo Cim., 39:1 (1965), 391–394 | DOI | MR
[17] O'Connell R. F., Tompkins D. R., J. Math. Phys., 6:12 (1965), 1952–1954 | DOI | MR
[18] Fairlie D. B., Nuovo Cim., 37:3 (1965), 897–904 | DOI | MR | Zbl
[19] Mickelsson J., Niederle J., Lett. Math. Phys., 8:3 (1984), 195–205 | DOI | MR | Zbl
[20] Anderson N., Arthurs A. M., Int. J. Electron., 57:4 (1984), 477–478 | DOI
[21] Gordon T. J., Ann. Phys. (USA), 155:2 (1984), 85–107 | DOI | MR | Zbl
[22] Gordon T. J., Class. Quantum Grav., 1:5 (1984), 531–544 | DOI | MR | Zbl
[23] Noether E., “Invariante Variationsprobleme”, Kgl. Ges. Wiss. Nachr. Göttingen Math. Phys., 2 (1918), 235–257; Variatsionnye printsipy mekhaniki, Fizmatgiz, M., 1959, 611–630 | MR
[24] Hill E. L., Rev. Mod. Phys., 23:3 (1951), 253–260 | DOI | MR | Zbl
[25] Ibragimov N. Kh., TMF, 1:3 (1969), 350–359 | MR
[26] Krivskii I. Yu., Simulik V. M., O teoreme Neter dlya preobrazovanii trekh tipov, Preprint KIYaI-85-12, IYaI AN USSR, Kiev, 1985
[27] Krivskii I. Yu., Teoretiko-gruppovye issledovaniya uravnenii matematicheskoi fiziki, IM AN USSR, Kiev, 1985, 134–139 | MR
[28] Krivskii I. Yu., Simulik V. M., O lagranzhevom podkhode dlya elektromagnitnogo polya v terminakh napryazhennostei i zakonakh sokhraneniya, Preprint KIYaI-85-13, IYaI AN USSR, Kiev, 1985 | MR
[29] Krivskii I. Yu., Simulik V. M., UFZh, 30:10 (1985), 1457–1459 | MR
[30] Simulik V. M., Teoretiko-gruppovye issledovaniya uravnenii matematicheskoi fiziki, IM AN USSR, Kiev, 1985, 130–133 | MR
[31] Krivskii I. Yu., Simulik V. M., Vopr. atomn. nauki i tekhn., ser.: Obsch. i yadern. fiz., 1986, no. 1 (34), 29–30
[32] Krivskii I. Yu., Simulik V. M., $P_+^\uparrow$-skalyarnaya funktsiya Lagranzha i zakony sokhraneniya dlya elektromagnitnogo polya v terminakh napryazhennostei, Preprint KIYaI-86-35, IYaI AN USSR, Kiev, 1986
[33] Krivskii I. Yu., Simulik V. M., Relyativistski invariantnaya formulirovka lagranzheva podkhoda k elektrodinamike v terminakh napryazhennostei, Preprint KIYaI-86-41, IYaI AN USSR, Kiev, 1986 | MR
[34] Flato M., Simon J., Sternheimer D., Ann. Phys. (USA), 61:1 (1970), 78–97 | DOI | MR | Zbl
[35] Bayen F., Flato M., J. Math. Phys., 17:7 (1976), 1112–1114 | DOI | MR
[36] Heaviside O., Phil. Trans. Roy. Soc. London, 183A (1982), 423–430
[37] Larmor I., Collected papers, Clarendon Press, London, 1928
[38] Rainich G. Y., Trans. Amer. Math. Soc., 27 (1925), 106–136 | DOI | MR | Zbl
[39] Danilov Yu. A., Gruppovye svoistva uravnenii Maksvella i Nave–Stoksa, Preprint IAE-1452, In-t atomn. energii im. I. V. Kurchatova, M., 1967
[40] Ibragimov N. Kh., DAN SSSR, 178:3 (1968), 566–568 | MR
[41] Laporte O., Uhlenbeck G. E., Phys. Rev., 37 (1931), 1380–1397 | DOI
[42] Oppenheimer J. R., Phys. Rev., 38 (1931), 725–746 | DOI
[43] Mignani R., Recami E., Baldo M., Lett. Nuovo Cim., 11:12, 568–572 | DOI | MR
[44] Borgardt A. A., ZhETF, 34:2 (1958), 334–341
[45] Moses H. E., Nuovo Cim. Suppl., 7:1 (1958), 1–18 | DOI | MR | Zbl
[46] Lomont J. S., Phys. Rev., 111:6 (1958), 1710–1716 | DOI | MR | Zbl
[47] Sudbery A., J. Phys. A, 19:2 (1986), L33–L36 | DOI | MR