Supersymmetric quasi-Hermitian Hamiltonians with point interactions on a loop

Petr Siegl

doi:10.1088/1751-8113/41/24/244025

Supersymmetric quasi-Hermitian Hamiltonians with point interactions on a loop

Petr Siegl^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

We explore some aspects of 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 ρ as well. Further, we present the quasi-Hermitian Hamiltonian (with one-point interaction) with a continuous spectrum.

Original language	English
Article number	244025
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	41
Issue number	24
DOIs	https://doi.org/10.1088/1751-8113/41/24/244025
Publication status	Published - 20 Jun 2008
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Modelling and Simulation
Mathematical Physics
Physics and Astronomy(all)

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10.1088/1751-8113/41/24/244025

Cite this

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abstract = "We explore some aspects of 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 ρ as well. Further, we present the quasi-Hermitian Hamiltonian (with one-point interaction) with a continuous spectrum.",

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AB - We explore some aspects of 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 ρ as well. Further, we present the quasi-Hermitian Hamiltonian (with one-point interaction) with a continuous spectrum.

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Supersymmetric quasi-Hermitian Hamiltonians with point interactions on a loop

Abstract

ASJC Scopus subject areas

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