93 citations · 181 across the 8 of their papers we have counts for
6 papers · 1 filter
Spectra of PT-symmetric Hamiltonians on Tobogganic Contours
Hynek Bíla
A non-standard generalisation of the Bender potentials $x^2(\ii x^\ve)$ is suggested. The spectra are obtained numerically and some of their particular properties are discussed.
Adiabatic time-dependent metrics in PT-symmetric quantum theories
Hynek Bíla
We introduce an approach to scattering problems in theories with non-Hermitian Hamiltonian, usually known as PT-symmetric quantum theories, by means of the adiabatic switching of t…
PT-supersymmetric partner of a short-range square well
C. Quesne, B. Bagchi, S. Mallik +3
In a box of size , a spatially antisymmetric square-well potential of a purely imaginary strength and size is interpreted as an initial element of the SUSY hi…
PT-symmetric supersymmetry in a solvable short-range model
B. Bagchi, H. Bila, V. Jakubsky +3
The simplest purely imaginary and piecewise constant -symmetric potential located inside a larger box is studied. Unless its strength exceeds a certain critical value, all…
Pseudo-Hermitian approach to energy-dependent Klein-Gordon models
Miloslav Znojil, Hynek Bila, Vit Jakubsky
The relativistic Klein-Gordon system is studied as an illustration of Quantum Mechanics using non-Hermitian operators as observables. A version of the model is considered containin…
Energy-dependent Hamiltonians and their pseudo-Hermitian interpretation
Miloslav Znojil, Hynek Bila, Vit Jakubsky
The concept of energy-dependent forces in quantum mechanics is re-analysed. We suggest a simplification of their study via the representation of each self-adjoint and energy-depend…