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Quasi Exactly Solvable NxN-Matrix Schroedinger Operators

Yves Brihaye, Betti Hartmann

quant-pharXiv:quant-ph/0101073

Abstract

New examples of matrix quasi exactly solvable Schroedinger operators are constructed. One of them constitutes a matrix generalization of the quasi exactly solvable anharmonic oscillator, the corresponding invariant vector space is constructed explicitely. Also investigated are matrix generalizations of the Lame equation.

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