121 citations · 1k across the 56 of their papers we have counts for
5 papers · 1 filter
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 in the PT-symmetric Coulomb potential
Geza Levai, Petr Siegl, Miloslav Znojil
Scattering on the -symmetric Coulomb potential is studied along a U-shaped trajectory circumventing the origin in the complex plane from below. This trajectory refle…
Asymptotically vanishing PT-symmetric potentials and negative-mass Schroedinger equations
Miloslav Znojil, Petr Siegl, Géza Lévai
In paper I [M. Znojil and G. Lévai, Phys. Lett. A 271 (2000) 327] we introduced the Coulomb - Kratzer bound-state problem in its cryptohermitian, PT-symmetric version. An instabili…
Scattering theory using smeared non-Hermitian potentials
Miloslav Znojil
Complex, non-Hermitian potentials V(x) can often generate standard quantum bound states. H. F. Jones [Phys. Rev. D 78, 065032 (2008)] demonstrated that the idea cannot directly be…