46 citations · 213 across the 23 of their papers we have counts for
23 papers
PT-symmetric quantum systems with positive P
Miloslav Znojil, Hendrik B. Geyer
A new version of PT-symmetric quantum theory is proposed and illustrated by an N-site-lattice Legendre oscillator. The essence of the innovation lies in the replacement of parity P…
Sturm-Schroedinger equations: formula for metric
Miloslav Znojil, Hendrik B. Geyer
Sturm-Schroedinger equations with and are considered, with a weak point of the theory lying in the purely numerical matrix-inve…
Non-Hermitian Hamiltonians, Metric, Other Observables and Physical Implications
H. B. Geyer, W. D. Heiss, F. G. Scholtz
The metric associated with a quasi-Hermitian Hamiltonian and its physical implications are scrutinised. Consequences of the non-uniqueness such as the question of the probability i…
Construction of a unique metric in quasi-Hermitian quantum mechanics: non-existence of the charge operator in a 2 x 2 matrix model
Miloslav Znojil, Hendrik B. Geyer
For a specific exactly solvable 2 by 2 matrix model with a PT-symmetric Hamiltonian possessing a real spectrum, we construct all the eligible physical metrics and show that none of…
Analysis of the Strong Coupling Limit of the Richardson Hamiltonian using the Dyson Mapping
I. Snyman, H. B. Geyer
The Richardson Hamiltonian describes superconducting correlations in a metallic nanograin. We do a perturbative analysis of this and related Hamiltonians, around the strong pairing…
Operator equations and Moyal products -- metrics in quasi-hermitian quantum mechanics
F G Scholtz, H B Geyer
The Moyal product is used to cast the equation for the metric of a non-hermitian Hamiltonian in the form of a differential equation. For Hamiltonians of the form with $…