Closed formula for the metric in the Hilbert space of a PT-symmetric model

Abstract

We introduce a very simple, exactly solvable PT-symmetric non-Hermitian model with real spectrum, and derive a closed formula for the metric operator which relates the problem to a Hermitian one.

LaTeX, 13 pages; to appear in Journal of Physics A

References in corpus (1)

• Point Interactions: PT-Hermiticity and Reality of the Spectrum

Cited by in corpus (10)

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• Discrete PT-symmetric models of scattering
• Non-Hermitian Hamiltonians of Lie algebraic type
• A return to observability near exceptional points in a schematic PT-symmetric model
• Calculation of the metric in the Hilbert space of a PT-symmetric model via the spectral theorem
• PT-symmetric deformations of Calogero models
• Non-Hermitian spectral effects in a PT-symmetric waveguide
• Fundamental length in quantum theories with PT-symmetric Hamiltonians II: The case of quantum graphs
• Exact Isospectral Pairs of PT-Symmetric Hamiltonians
• Surprising spectra of PT-symmetric point interactions