PT-Symmetric, Quasi-Exactly Solvable matrix Hamiltonians

Abstract

Matrix quasi exactly solvable operators are considered and new conditions are determined to test whether a matrix differential operator possesses one or several finite dimensional invariant vector spaces. New examples of $2\times 2$-matrix quasi exactly solvable operators are constructed with the emphasis set on PT-symmetric Hamiltonians.

14 pages, 1 figure, one equation corrected, results added

References in corpus (1)

• Operator ordering in Two-dimensional N=1 supersymmetry with curved manifold