Supersymmetric η operators

Boris F. Samsonov

Being chosen as a differential operator of a special form, metric \(\eta\) operator becomes unitary equivalent to a one-dimensional Hermitian Hamiltonian with a natural supersymmetric structure. We show that fixing the superpartner of this Hamiltonian permits to determine both the metric operator and corresponding non-Hermitian Hamiltonian. Moreover, under an additional restriction on the non-Hermitian Hamiltonian, it becomes a superpartner of another Hermitian Hamiltonian.

http://arxiv.org/abs/1207.2522

Mathematical Physics (math-ph); Quantum Physics (quant-ph)

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