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.
CITATION STYLE
Marikhin, V. G. (2016). Two new integrable cases of two-dimensional quantum mechanics with a magnetic field. JETP Letters, 103(7), 489–493. https://doi.org/10.1134/S0021364016070092
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