272 citations · 3.8k across the 214 of their papers we have counts for
9 papers · 1 filter
Anisotropy and asymptotic degeneracy of the physical-Hilbert-space inner-product metrics in an exactly solvable crypto-unitary quantum model
Miloslav Znojil
In quantum mechanics (formulated, say, in Schrödinger picture) only the knowledge of a complete set of observables enables us to declare the related physical inner product (i…
Quantum catastrophes: a case study
Miloslav Znojil
The bound-state spectrum of a Hamiltonian H is assumed real in a non-empty domain D of physical values of parameters. This means that for these parameters, H may be called crypto-H…
Quantum star-graph analogues of PT-symmetric square wells
Miloslav Znojil
We pick up a solvable symmetric quantum square well on an interval of (with an dependent non-Hermiticity given by Robin boundary c…
Coulomb potential and the paradoxes of PT-symmetrization
Miloslav Znojil
Besides the standard quantum version of the Coulomb/Kepler problem, an alternative quantum model with not too dissimilar phenomenological (i.e., spectral and scattering) as well as…
Crypto-unitary forms of quantum evolution operators
Miloslav Znojil
For the description of quantum evolution, the use of a manifestly time-dependent quantum Hamiltonian is shown equivalent to the work with…
Non linear pseudo-bosons versus hidden Hermiticity. II: The case of unbounded operators
Fabio Bagarello, Miloslav Znojil
Parallels between the notions of nonlinear pseudobosons and of an apparent non-Hermiticity of observables as shown in paper I (arXiv: 1109.0605) are demonstrated to survive the tra…