Supersymmetric η operators

DOI10.1088/1751-8113/45/44/444028zbMATH Open1261.47096arXiv1207.2522OpenAlexW3103766423MaRDI QIDQ4913258

Boris F. Samsonov

Publication date: 5 April 2013

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/1207.2522

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Supersymmetry and quantum mechanics (81Q60)

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