Quasi exactly solvable matrix models in sl(n)

Abstract

We reconsider the quasi exactly solvable matrix models constructed recently by R. Zhdanov. The 2$\times$2 matrix operators representing the algebra sl(2) are generalized to matrices of arbitrary dimension and a similar construction is achieved for the algebra sl(n).

LaTeX, 8 pages

References in corpus (3)

• Quasi Exactly Solvable 2$\times$2 Matrix Equations
• On quasi-exactly solvable matrix models
• Quasi-Exactly Solvable Spin 1/2 Schrödinger Operators

Cited by in corpus (2)

• Quadratic Lie algebras and quasi-exact solvability of the two-photon Rabi Hamiltonian
• Quasi Exactly Solvable NxN-Matrix Schroedinger Operators