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PT-Symmetric, Quasi-Exactly Solvable matrix Hamiltonians

Y. Brihaye·Ancilla Nininahazwe·Bhabani Prasad Mandal
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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.

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Y. Brihaye, Ancilla Nininahazwe, Bhabani Prasad Mandal. 2007-02-20. PT-Symmetric, Quasi-Exactly Solvable matrix Hamiltonians. https://doi.org/10.1088/1751-8113/40/43/014

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