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The Hilbert-Space Structure of Non-Hermitian Theories with Real Spectra

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Czechoslovak Journal of Physics Aims and scope

Abstract

We investigate the quantum-mechanical interpretation of models with non-Hermitian Hamiltonians and real spectra. After describing a general framework to reformulate such models in terms of Hermitian Hamiltonians defined on the Hilbert space L 2(-∞, ∞), we discuss the significance of the algebra of physical observables.

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Authors and Affiliations

  1. Fachbereich Physik, Universität Siegen, Germany

    Ralph Kretschmer

  2. Soltan Institute for Nuclear Studies, Warsaw, Poland

    Lech Szymanowski

Authors
  1. Ralph Kretschmer
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  2. Lech Szymanowski
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Kretschmer, R., Szymanowski, L. The Hilbert-Space Structure of Non-Hermitian Theories with Real Spectra. Czechoslovak Journal of Physics 54, 71–75 (2004). https://doi.org/10.1023/B:CJOP.0000014370.87951.43

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  • DOI: https://doi.org/10.1023/B:CJOP.0000014370.87951.43

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