Email this article Two new integrable cases of two-dimensional quantum mechanics with a magnetic field
- Authors: Marikhin V.G.1
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Affiliations:
- Landau Institute for Theoretical Physics
- Issue: Vol 103, No 7 (2016)
- Pages: 489-493
- Section: Methods of Theoretical Physics
- URL: https://journals.rcsi.science/0021-3640/article/view/159225
- DOI: https://doi.org/10.1134/S0021364016070092
- ID: 159225
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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 equations through biconfluent and confluent Heun functions. The quantization rules will be derived for both systems under consideration.
About the authors
V. G. Marikhin
Landau Institute for Theoretical Physics
Author for correspondence.
Email: mvg@itp.ac.ru
Russian Federation, Chernogolovka, Moscow region, 119334
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