A new class of non-Hermitian Hamiltonians with real spectra

2002/04/05 by T. V. Fityo, T V Fityo · 2 citations
Mathematics · Physics and Astronomy · #Class (philosophy) #Construct (python library) #Focus (optics) #Geometry and complex manifolds #New class #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #Real line #Spectral line #quant-ph

paper · pdf · doi:10.1088/0305-4470/35/28/308

6 pages

arxiv created 2002/04/05 · openalex publication_date 2002/07/05 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We construct a new class of non-Hermitian Hamiltonians with real spectra. The Hamiltonians possess one explicitly known eigenfunction.

Citations

• Factorization and superpotential of thePTsymmetric Hamiltonian
• Real Spectra in Non-Hermitian Hamiltonians HavingPTSymmetry

Cited by

• η-weak-pseudo-Hermiticity generators and exact solvability
• Pseudo-reality and pseudo-adjointness of Hamiltonians