121 citations · 1k across the 56 of their papers we have counts for
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Time-dependent version of cryptohermitian quantum theory
Miloslav Znojil
For many quantum models an apparent non-Hermiticity of observables corresponds to their hidden Hermiticity in another, physical Hilbert space. For these models we show that the exi…
The complete menu of eligible metrics for a family of toy Hamiltonians with real spectra
Miloslav Znojil
An elementary set of non-Hermitian by matrices with real spectra is considered, assuming that each of these matrices represents a se…
Discrete PT-symmetric models of scattering
Miloslav Znojil
One-dimensional scattering mediated by non-Hermitian Hamiltonians is studied. A schematic set of models is used which simulate two point interactions at a variable strength and dis…
Scattering theory with localized non-Hermiticities
Miloslav Znojil
In the context of the recent interest in solvable models of scattering mediated by non-Hermitian Hamiltonians (cf. H. F. Jones, Phys. Rev. D 76, 125003 (2007)) we show that and how…
PT-symmetric Sturmians
Miloslav Znojil
Sturmian bound states emerging at a fixed energy and numbered by a complete set of real eigencouplings are considered. For Sturm-Schroedinger equations which are manifestly non-Her…
Identification of observables in quantum toboggans
Miloslav Znojil
Quantum systems with real energies generated by an apparently non-Hermitian Hamiltonian may re-acquire the consistent probabilistic interpretation via an ad hoc metric which specif…