Two new integrable cases of two-dimensional quantum mechanics with a magnetic field
Quantum Physics
2016-06-29 v2 Mathematical Physics
math.MP
Abstract
Two integrable cases of two-dimensional Schr\"odinger 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.
Keywords
Cite
@article{arxiv.1602.03375,
title = {Two new integrable cases of two-dimensional quantum mechanics with a magnetic field},
author = {Vladimir Marikhin},
journal= {arXiv preprint arXiv:1602.03375},
year = {2016}
}
Comments
7 pages, few mistakes eliminated