93 citations · 181 across the 8 of their papers we have counts for
8 papers
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…
Closed formula for the metric in the Hilbert space of a PT-symmetric model
D. Krejcirik, H. Bila, M. Znojil
We introduce a very simple, exactly solvable PT-symmetric non-Hermitian model with real spectrum, and derive a closed formula for the metric operator which relates the problem to a…
Comment on `Solution of the Dirac equation for the Woods-Saxon potential with spin and pseudospin symmetry' [J. Y. Guo and Z-Q. Sheng, Phys. Lett. A 338 (2005) 90]
H. Bila, V. Jakubsky, M. Znojil
Out of the four bound-state solutions presented in loc. cit., only one (viz., the spin-symmetric one, in the low-mass regime) is shown compatible with the physical boundary conditi…
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…