121 citations
- Czech Technical University in PragueCZ3 papers
- Joint Institute for Nuclear ResearchRU3 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Charles UniversityCZ2 papers
- University of BelgradeRS2 papers
- A. Alikhanyan National LaboratoryAM1 paper
- Centre de Physique ThéoriqueFR1 paper
- European Organization for Nuclear ResearchCH1 paper
- Ghulam Ishaq Khan Institute of Engineering Sciences and TechnologyPK1 paper
- Helmholtz-Zentrum Dresden-RossendorfDE1 paper
- Humboldt-Universität zu BerlinDE1 paper
- Hungarian Academy of SciencesHU1 paper
12 papers · 1 filter
Matrix Hamiltonians with an algebraic guarantee of unbroken PT-symmetry
Miloslav Znojil
Quantum bound-state energies are assumed generated by PT-symmetric Hamiltonians H where P is, typically, parity. It is known that their spectrum only remains real and observable (i…
Classification of the conditionally observable spectra exhibiting central symmetry
Jun-Hua Chen, Edita Pelantova, Miloslav Znojil
We show how in PT-symmetric 2J-level quantum systems the assumption of an upside-down symmetry (or duality) of their spectra simplifies their classification based on the non-equiva…
On the Role of the Normalization Factors and of the Pseudo-Metric in Crypto-Hermitian Quantum Models
Miloslav Znojil
Among -pseudo-Hermitian Hamiltonians $H ={\cal P}^{-1} H^\dagger \cal P}$ with real spectra, the ''weakly pseudo-Hermitian" ones (i.e., those employing non-self-adjoint $…
Tridiagonal PT-symmetric N by N Hamiltonians and a fine-tuning of their observability domains in the strongly non-Hermitian regime
Miloslav Znojil
A generic PT-symmetric Hamiltonian is assumed tridiagonalized and truncated to N dimensions, and its up-down symmetrized special cases with J=[N/2] real couplings are considered. I…
Conditional observability
Miloslav Znojil
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 o…
Maximal couplings in PT-symmetric chain-models with the real spectrum of energies
Miloslav Znojil
The domain of all the coupling strengths compatible with the reality of the energies is studied for a family of non-Hermitian by matrix Hamiltonians wi…