Institute of Mathematics of NAS of Ukraine,
3 Tereshchenkivska Street, 01601 Kyiv-4, UKRAINE
e-mail: spichak@imath.kiev.ua

On multi-parameter families of Hermitian exactly solvable matrix Schroedinger models

Abstract:
Five multi-parameter families of Hermitian exactly solvable matrix Schrodinger operators in one variable was constructed. For this one of the representation of the four-dimensional Lie algebra was used as well as invariant space under its operators and additional operators which act in this space.