This article is cited in 5 papers

METHODS OF THEORETICAL PHYSICS

Two new integrable cases of two-dimensional quantum mechanics with a magnetic field

V. G. Marikhin

Landau Institute for Theoretical Physics of the RAS, 119334 Chernogolovka, Russia

Abstract: Two integrable cases of two-dimensional Schrödinger equation with a magnetic field are proposed. Using the polar coordinates and the symmetrical gauge, we will obtain solutions of these equation through Biconfluent and Confluent Heun functions. The quantization rules will be derived for both systems under consideration.

Received: 12.02.2016
Revised: 24.02.2016

Language: English

DOI: 10.7868/S0370274X16070122

 English version: Journal of Experimental and Theoretical Physics Letters, 2016, 103:7, 489–493

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