Spectra of PT-symmetric Hamiltonians on Tobogganic Contours
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.
quant-ph↗
arXiv subjects
Hynek Bíla
Publications and source records attributed to Hynek Bíla.
Adiabatic time-dependent metrics in PT-symmetric quantum theories
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 the interaction. The modifications of usual methods needed to employ time-dependent metrics are described. We argue that an analogue of the adiabatic theorem hold for time dependent metrics and that its validity forms a necessary condition for consistency of the procedure.
quant-ph↗