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

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.

5 pages, uses iopart.cls. Talk given by R. Kretschmer at the 1st International Workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics, Prague, Czech Republic, June 16-17, 2003. To appear in the proceedings

References in corpus (1)

• Complex Extension of Quantum Mechanics

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