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Supersymmetric quasi-Hermitian Hamiltonians with point interactions on a loop

P. Siegl 1
1 APC - THEORIE
APC (UMR_7164) - AstroParticule et Cosmologie, Institut für theoretische Physik
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.
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http://hal.in2p3.fr/in2p3-00364792
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Submitted on : Friday, February 27, 2009 - 11:54:32 AM
Last modification on : Wednesday, October 21, 2020 - 4:32:15 PM

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P. Siegl. Supersymmetric quasi-Hermitian Hamiltonians with point interactions on a loop. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2008, 41, pp.244025. ⟨10.1088/1751-8113/41/24/244025⟩. ⟨in2p3-00364792⟩

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