Metric operators for quasi-Hermitian Hamiltonians and symmetries of equivalent Hermitian Hamiltonians

2007/07/31 by Ali Mostafazadeh
Physics and Astronomy · #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #quant-ph

paper · pdf · doi:10.1088/1751-8113/41/24/244017

published as J. Phys. A: Math. Theo., 41, 055304 (2008) · 6 pages, published version

openalex publication_date 2008/06/03 · arxiv created 2008/09/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We give a simple proof of the fact that every diagonalizable operator that has a real spectrum is quasi-Hermitian and show how the metric operators associated with a quasi-Hermitian Hamiltonian are related to the symmetry generators of an equivalent Hermitian Hamiltonian.

Citations

• Metric Operator in Pseudo-Hermitian Quantum Mechanics and the Imaginary Cubic Potential