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A Reality Proof in PT-Symmetric Quantum Mechanics

2003/09/22 by Patrick Dorey, Clare Dunning, Roberto Tateo · 1 citation
Physics and Astronomy · #Advanced Differential Geometry Research #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #hep-th

paper · pdf · doi:10.1023/b:cjop.0000014365.19507.b6

published as Czech.J.Phys. 54 (2004) 35-41 · 7 pages, 2 figures, latex. Contribution to the proceedings of Pseudo-Hermitian Hamiltonians in Quantum Physics, Prague, 2003

arxiv created 2003/09/22 · openalex publication_date 2004/01/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We review the proof of a conjecture concerning the reality of the spectra of certain PT-symmetric quantum mechanical systems, obtained via a connection between the theories of ordinary differential equations and integrable models. Spectral equivalences inspired by the correspondence are also discussed.

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