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

R. Kretschmer·L. Szymanowski
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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 $L_2(-\infty,\infty)$, we discuss the significance of the algebra of physical observables.

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R. Kretschmer, L. Szymanowski. 2003-09-15. The Hilbert-Space Structure of Non-Hermitian Theories with Real Spectra. https://doi.org/10.1023/b%3Acjop.0000014370.87951.43

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