47 citations · 69 across the 3 of their papers we have counts for
3 papers
math-ph2000★ 47 cited
Open quantum dots: resonances from perturbed symmetry and bound states in strong magnetic fields
Pierre Duclos, Pavel Exner, Bernhard Meller
We discuss the Noeckel model of an open quantum dot, i.e., a straight hard-wall channel with a potential well. If this potential depends on the longitudinal variable only, there ar…
math-ph1998★ 10 cited
Resonances In a Box
George A. Hagedorn, Bernhard Meller
We investigate a numerical method for studying resonances in quantum mechanics. We prove rigorously that this method yields accurate approximations to resonance energies and widths…
funct-an1997★ 12 cited
Exponential Bounds on Curvature-Induced Resonances in a Two-Dimensional Dirichlet Tube
P. Duclos, P. Exner, B. Meller
We consider curvature-induced resonances in a planar two-dimensional Dirichlet tube of a width . It is shown that the distances of the corresponding resonance poles from the r…