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math-ph2006★ 47 cited
Non-linear Supersymmetry for non-Hermitian, non-diagonalizable Hamiltonians: I. General properties
A. A. Andrianov, F. Cannata, A. V. Sokolov
We study complex potentials and related non-diagonalizable Hamiltonians with special emphasis on formal definitions of associated functions and Jordan cells. The nonlinear SUSY for…
math-ph2006★ 16 cited
Non-linear Supersymmetry for non-Hermitian, non-diagonalizable Hamiltonians: II. Rigorous results
A. V. Sokolov
We continue our investigation of the nonlinear SUSY for complex potentials started in the Part I (math-ph/0610024) and prove the theorems characterizing its structure in the case o…