Quantum integrable systems in three-dimensional magnetic fields: the Cartesian case

Details Quantum integrable systems in three-dimensional magnetic fields: the Cartesian case Quantum integrable systems in three-dimensional magnetic fields: the Cartesian case

2008-12-14

arxiv.org/abs/0812.2682v2

Physics

Mathematical Physics

8 pages

Scientific paper

In this paper we construct integrable three-dimensional quantum-mechanical
systems with magnetic fields, admitting pairs of commuting second-order
integrals of motion. The case of Cartesian coordinates is considered. Most of
the systems obtained are new and not related to the separation of variables in
the corresponding Schr\"odinger equation.

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