Supersymmetric quasi-Hermitian Hamiltonians with point interactions on a loop

Abstract

We explore some aspects of {\mathcal{PT}} -symmetric Hamiltonians with two point interactions. We determine classes of point interactions for which the Hamiltonians are supersymmetric. We prove that these Hamiltonians are quasi-Hermitian and find a very simple formula for the metric operator Θ and its square root rhov as well. Further, we present the quasi-Hermitian Hamiltonian (with one-point interaction) with a continuous spectrum.

Identifiers

DOI

10.1088/1751-8113/41/24/244025

Citations and references