The Interpretation of Quantum-Mechanical Models with Non-Hermitian Hamiltonians and Real Spectra

Details The Interpretation of Quantum-Mechanical Models with Non-Hermitian Hamiltonians and Real Spectra The Interpretation of Quantum-Mechanical Models with Non-Hermitian Hamiltonians and Real Spectra

2001-05-11

arxiv.org/abs/quant-ph/0105054v1

Physics

Quantum Physics

15 pages, Revtex

Scientific paper

We study the quantum-mechanical interpretation of models with non-Hermitian Hamiltonians and real spectra. We set up a general framework for the analysis of such systems in terms of Hermitian Hamiltonians defined in the usual Hilbert space $L_2(-\infty,\infty)$. Special emphasis is put on the correct definition of the algebra of physical observables. Within this scheme we consider various examples, including the model recently introduced by Cannata et al. and the model of Hatano and Nelson.

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