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

Authors:	Ralph Kretschmer Lech Szymanowski

Institution:	(1) Fachbereich Physik, Universität Siegen, Germany;(2) Soltan Institute for Nuclear Studies, Warsaw, Poland

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.

Keywords:	non-Hermitian Hamiltonians
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