121 citations · 1k across the 56 of their papers we have counts for
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Fundamental length in quantum theories with PT-symmetric Hamiltonians II: The case of quantum graphs
Miloslav Znojil
Manifestly non-Hermitian quantum graphs with real spectra are introduced and shown tractable as a new class of phenomenological models with several appealing descriptive properties…
Fundamental length in quantum theories with PT-symmetric Hamiltonians
Miloslav Znojil
The direct observability of coordinates x is often lost in PT-symmetric quantum theories. A manifestly non-local Hilbert-space metric enters the double-integral normalization o…
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…
Relativistic vector bosons and PT-symmetry
Jaroslav Smejkal, Vit Jakubsky, Miloslav Znojil
Relativistic massive bosons with spin one are considered in several quantization schemes. In all of them the system is shown described by a non-Hermitian Hamiltonian and helicity o…
PT-symmetry, ghosts, supersymmetry and Klein-Gordon equation
Miloslav Znojil
Parallels between the concepts of symmetry, supersymmetry and (recently introduced) PT-symmetry are reviewed and discussed, with particular emphasis on the new insight in quantum t…
PT-symmetric regularizations in supersymmetric quantum mechanics
Miloslav Znojil
Supersymmetry offers one of the deepest insights in the concept of solvability in quantum mechanics. This insight is, paradoxically, restricted by one of the most serious formal dr…