Conditional observability

Abstract

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

21 pp incl. 10 fig

References in corpus (8)

• MHD alpha^2-dynamo, Squire equation and PT-symmetric interpolation between square well and harmonic oscillator
• Maximal couplings in PT-symmetric chain-models with the real spectrum of energies
• A return to observability near exceptional points in a schematic PT-symmetric model
• Fragile PT-symmetry in a solvable model
• Isospectrality of spherical MHD dynamo operators: pseudo-Hermiticity and a no-go theorem
• Quasi-hermitian Quantum Mechanics in Phase Space
• Linear representation of energy-dependent Hamiltonians
• Solvable relativistic quantum dots with vibrational spectra

Cited by in corpus (3)

• Tridiagonal PT-symmetric N by N Hamiltonians and a fine-tuning of their observability domains in the strongly non-Hermitian regime
• Classification of the conditionally observable spectra exhibiting central symmetry
• Conditional observability versus self-duality in a schematic model