Quasi exactly solvable matrix Schroedinger operators

Abstract

Two families of quasi exactly solvable 2*2 matrix Schroedinger operators are constructed. The first one is based on a polynomial matrix potential and depends on three parameters. The second is a one-parameter generalisation of the scalar Lame equation. The relationship between these operators and QES Hamiltonians already considered in the literature is pointed out.

LaTeX, 9 pp, new results added

References in corpus (1)

• The Goldstone model static solutions on S^1

Cited by in corpus (2)

• Quasi Exactly Solvable NxN-Matrix Schroedinger Operators
• Exactly Solvable Three-body SUSY Systems with Internal Degrees of Freedom