138 citations · 1.3k across the 90 of their papers we have counts for
4 papers · 2 filters
Twisting versus bending in quantum waveguides
David Krejcirik
We make an overview of spectral-geometric effects of twisting and bending in quantum waveguides modelled by the Dirichlet Laplacian in an unbounded three-dimensional tube of unifor…
Calculation of the metric in the Hilbert space of a PT-symmetric model via the spectral theorem
David Krejcirik
In a previous paper (arXiv:math-ph/0604055) we introduced a very simple PT-symmetric non-Hermitian Hamiltonian with real spectrum and derived a closed formula for the metric operat…
PT-symmetric waveguides
Denis Borisov, David Krejcirik
We introduce a planar waveguide of constant width with non-Hermitian PT-symmetric Robin boundary conditions. We study the spectrum of this system in the regime when the boundary co…
Waveguides with combined Dirichlet and Robin boundary conditions
Pedro Freitas, David Krejcirik
We consider the Laplacian in a curved two-dimensional strip of constant width squeezed between two curves, subject to Dirichlet boundary conditions on one of the curves and variabl…