46 citations · 213 across the 23 of their papers we have counts for
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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…
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 $…