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

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

2003-09-15

arxiv.org/abs/quant-ph/0309118v1

Czech. J. Phys. 54 (2004) 71

Physics

Quantum Physics

5 pages, uses iopart.cls. Talk given by R. Kretschmer at the 1st International Workshop on Pseudo-Hermitian Hamiltonians in Qu

Scientific paper

10.1023/B:CJOP.0000014370.87951.

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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