Alexander ZHALIJ
Department of Applied Research
Institute of Mathematics of the National Academy of Sciences of Ukraine,
3 Tereshchenkivska  Street, 01601 Kyiv-4, UKRAINE

On integrable three-dimensional quantum systems in magnetic fields

This report is devoted to the construction of integrable three-dimensional quantum systems with scalar and vector potentials. The existence of pairs of commuting integrals of motion not higher than second order in derivatives is considered. Most of the systems obtained are new and not related to the separation of variables in the corresponding Schroedinger equation.