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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2017, Volume 106, Issue 9, Pages 577–580
DOI: https://doi.org/10.7868/S0370274X17210093 (Mi jetpl5413) 		 
METHODS OF THEORETICAL PHYSICS

On some integrable cases of the two-dimensional motion of a charged particle in an electromagnetic field

V. G. Marikhin

Landau Institute for Theoretical Physics, Chernogolovka, Moscow region, Russia
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DOI: https://doi.org/10.7868/S0370274X17210093
Abstract: Two cases of the two-dimensional motion of a charged particle in an electromagnetic field have been integrated. In these cases, the Hamiltonian commutes with the angular momentum. Variables are separable in polar coordinates. The vector potential and potential energy have been taken from my recent work regarding two cases of the two-dimensional Schrödinger equation, which belong to quasi-exactly solvable problems. In these cases, semiclassical and exact wavefunctions have been compared in classically forbidden regions.
Funding agency Grant number
Russian Science Foundation 16-11-10349
Received: 06.09.2017
Revised: 04.10.2017
English version:
Journal of Experimental and Theoretical Physics Letters, 2017, Volume 106, Issue 9, Pages 600–603
DOI: https://doi.org/10.1134/S0021364017210081
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. G. Marikhin, “On some integrable cases of the two-dimensional motion of a charged particle in an electromagnetic field”, Pis'ma v Zh. Èksper. Teoret. Fiz., 106:9 (2017), 577–580; JETP Letters, 106:9 (2017), 600–603
Citation in format AMSBIB
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