Supersymmetric quasi-Hermitian Hamiltonians with point interactions on a loop

Petr Siegl*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Article number244025
JournalJournal of Physics A: Mathematical and Theoretical
Issue number24
Publication statusPublished - 20 Jun 2008
Externally publishedYes

ASJC Scopus subject areas

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


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