Conditional observability

2007/04/28 by Miloslav Znojil · 1 citation
Mathematics · Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum many-body systems #math-ph #math.MP

paper · pdf · doi:10.1016/j.physletb.2007.05.054

published as Phys. Lett. B 650 (2007) 440 - 446 · 21 pp incl. 10 fig

arxiv created 2007/04/28 · openalex publication_date 2007/06/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02

Abstract

For a quantum Hamiltonian H=H(λ), the observability of the energies E may be robust (whenever all E are real at all λ) or, otherwise, conditional. Using a pseudo-Hermitian family of N-state chain models H=H(N)(λ) we discuss some generic properties of conditionally observable spectra.

Citations

• Conditions for complex spectra in a class of PT symmetric potentials
• Isospectrality of spherical MHD dynamo operators: Pseudo-hermiticity and a no-go theorem
• On some meaningful inner product for real Klein—Gordon fields with positive semi-definite norm
• MHD α2-dynamo, Squire equation and PT-symmetric interpolation between square well and harmonic oscillator
• Linear representation of energy-dependent Hamiltonians
• Fragile PT-symmetry in a solvable model
• Non-Hermitian supersymmetry and singular, 𝒫𝒯-symmetrized oscillators

Cited by

• Tridiagonal \cal PT -symmetricN-by-NHamiltonians and a fine-tuning of their observability domains in the strongly non-Hermitian regime