Interaction of a charged particle with an external electromagnetic field in the presence of a strongly singular potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 46 (1981) no. 3, pp. 316-320
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The method developed in an earlier paper by one of the authors to obtain Schrödinger equations with strongly singular potentials is generalized to the case when an arbitrary external electromagnetic field acts on the particle.
@article{TMF_1981_46_3_a4,
author = {S. V. Talalov and Yu. M. Shirokov},
title = {Interaction of a~charged particle with an external electromagnetic field in the presence of a~strongly singular potential},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {316--320},
year = {1981},
volume = {46},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1981_46_3_a4/}
}
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%0 Journal Article %A S. V. Talalov %A Yu. M. Shirokov %T Interaction of a charged particle with an external electromagnetic field in the presence of a strongly singular potential %J Teoretičeskaâ i matematičeskaâ fizika %D 1981 %P 316-320 %V 46 %N 3 %U http://geodesic.mathdoc.fr/item/TMF_1981_46_3_a4/ %G ru %F TMF_1981_46_3_a4
S. V. Talalov; Yu. M. Shirokov. Interaction of a charged particle with an external electromagnetic field in the presence of a strongly singular potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 46 (1981) no. 3, pp. 316-320. http://geodesic.mathdoc.fr/item/TMF_1981_46_3_a4/
[1] Shirokov Yu. M., “Silno singulyarnye potentsialy v trekhmernoi kvantovoi mekhanike”, TMF, 42:1 (1980), 45–49 | MR
[2] Shirokov Yu. M., “Algebra odnomernykh obobschennykh funktsii”, TMF, 39:3 (1979), 291–301 | MR | Zbl
[3] Shirokov Yu. M., “Algebra trekhmernykh obobschennykh funktsii”, TMF, 40:3 (1979), 348–354 | MR | Zbl
[4] Shirokov M. I., Minimalno-nelokalnaya kvantovaya elektrodinamika svyazannykh elektronov bez potentsialov, Preprint OIYaI R4-12632, OIYaI, Dubna, 1980