145 citations · 605 across the 33 of their papers we have counts for
8 papers · 1 filter
Construction of maximally non-Hermitian potentials under unbroken PT-symmetry constraint
Miloslav Znojil
A family of discrete Schrödinger equations with imaginary potentials is studied. Inside the domain of unitarity-compatible values of , the reality of all of…
Mutual compatibility/incompatibility of quasi-Hermitian quantum observables
Miloslav Znojil
In the framework of quasi-Hermitian quantum mechanics the eligible operators of observables may be non-Hermitian, , . In principle, the standa…
Complex tridiagonal quantum Hamiltonians and matrix continued fractions
Miloslav Znojil
Quantum resonances described by non-Hermitian tridiagonal-matrix Hamiltonians with complex energy eigenvalues are considered. The method of evaluation of quantities known…
A reappraisal of Lagrangians with non-quadratic velocity dependence and branched Hamiltonians
Bijan Bagchi, Aritra Ghosh, Miloslav Znojil
Time and again, non-conventional forms of Lagrangians with non-quadratic velocity dependence have found attention in the literature. For one thing, such Lagrangians have deep conne…
Interference of non-Hermiticity with Hermiticity at exceptional points
Miloslav Znojil
A family of non-Hermitian but symmetric by toy-model tridiagonal-matrix Hamiltonians with and is studied, fo…
Bifurcations of thresholds in essential spectra of elliptic operators under localized non-Hermitian perturbations
D. I. Borisov, D. A. Zezyulin, M. Znojil
We consider the operator subject to the Dirichlet or Robin condition, where a dom…