Conditional observability versus self-duality in a schematic model

Abstract

In a simple PT-symmetric model we demonstrate that and how the violation of a reflection symmetry $E_j=-E_{N+1-j}$ of the spectrum (called "self-duality" by Dunne and Shifman) is connected with the loss of the simplicity of the shape of the boundary of the domain D of parameters where the Hamiltonian H is quasi-Hermitian, i.e., where all the bound-state energies are real.

11 pages, 2 figures

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Cited by in corpus (2)

• Fundamental length in quantum theories with PT-symmetric Hamiltonians
• Anomalous real spectra of non-Hermitian quantum graphs in strong-coupling regime