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quant-ph2013★ 9 cited
Polynomial Supersymmetry for Matrix Hamiltonians
Andrey V. Sokolov
We study intertwining relations for matrix one-dimensional, in general, non-Hermitian Hamiltonians by matrix differential operators of arbitrary order. It is established that for a…
quant-ph2006★ 49 cited
Non-Hermitian Quantum Mechanics of Non-diagonalizable Hamiltonians: puzzles with self-orthogonal states
A. V. Sokolov, A. A. Andrianov, F. Cannata
We consider QM with non-Hermitian quasi-diagonalizable Hamiltonians, i.e. the Hamiltonians having a number of Jordan cells in particular biorthogonal bases. The "self-orthogonality…