93 citations · 121 across the 3 of their papers we have counts for
6 papers
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…
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…