Pseudo-Hermiticity and some consequences of a generalized quantum condition

2005/08/09 by Bijan Bagchi, B. Bagchi, C. Quesne +2 · 1 citation
Mathematics · Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #hep-th #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1088/0305-4470/38/40/l01

published as J.Phys. A38 (2005) L647-L652 · 10 pages, no figure

arxiv created 2005/08/09 · openalex publication_date 2005/09/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We exploit the hidden symmetry structure of a recently proposed non-Hermitian Hamiltonian and of its Hermitian equivalent one. This sheds new light on the pseudo-Hermitian character of the former and allows access to a generalized quantum condition. Special cases lead to hyperbolic and Morse-like potentials in the framework of a coordinate-dependent mass model.

Citations

• Pseudo-Hermiticity of Hamiltonians under imaginary shift of the coordinate: real spectrum of complex potentials

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