SUSY transformations between digonalizable and non-diagonalizable Hamiltonians

Details SUSY transformations between digonalizable and non-diagonalizable Hamiltonians SUSY transformations between digonalizable and non-diagonalizable Hamiltonians

2005-03-08

arxiv.org/abs/quant-ph/0503075v1

An extended version is published in J. Phys. A: Math. Gen. 38 (2005) L397--L403

Physics

Quantum Physics

Scientific paper

10.1088/0305-4470/38/21/L04

Recently (see quant-ph/0503040) an explicit example has been given of a
PT-symmetric non-diagonalizable Hamiltonian. In this paper we show that such
Hamiltonians appear as supersymmetric (SUSY) partners of Hermitian (hence
diagonalizable) Hamiltonians and they can be turned back to diagonalizable
forms by appropriate SUSY transformations.

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