SUSY transformations between digonalizable and non-diagonalizable Hamiltonians
Quantum Physics
2009-11-11 v1
Abstract
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.
Cite
@article{arxiv.quant-ph/0503075,
title = {SUSY transformations between digonalizable and non-diagonalizable Hamiltonians},
author = {B F Samsonov},
journal= {arXiv preprint arXiv:quant-ph/0503075},
year = {2009}
}