Effective Hamiltonian for a microwave billiard with attached waveguide

HJ Stöckmann, E Persson, YH Kim, M Barth, U Kuhl… - Physical Review E, 2002 - APS
In a recent work the resonance widths in a microwave billiard with attached waveguide were
studied in dependence on the coupling strength [E. Persson et al., Phys. Rev. Lett. 85, 2478 …

Efficient method for scattering problems in open billiards: Theory and applications

GB Akguc, TH Seligman - Physical Review B—Condensed Matter and …, 2006 - APS
We present an efficient method to solve scattering problems in two-dimensional open
billiards with two leads and a complicated scattering region. The basic idea is to transform …

Quasibound states in two-and three-dimensional open quantum systems

AM Barr, LE Reichl - Physical Review A—Atomic, Molecular, and Optical …, 2010 - APS
We derive expressions for the scattering matrix and the Wigner-Smith delay time, applicable
to open systems in two and three spatial dimensions, in terms of a non-Hermitian effective …

Bound states in the Brillouin zone continuum

MD Porter, A Barr, A Barr, LE Reichl - Physica B: Condensed Matter, 2019 - Elsevier
Abstract Systems with space periodic Hamiltonians have unique scattering properties. The
discrete translational symmetry associated with periodicity of the Hamiltonian creates …

Thermoelectric Efficiency of Nanowires with Long Range Surface Disorder

GB Akguc - Nanoscale Thermoelectrics, 2013 - Springer
Thermoelectric efficiency of nanowires is shown to be enhanced when they have disordered
surfaces with long range correlations. To show this effect, one needs to solve Schrödinger …

Manifestations of Chaos in Quantum Scattering Processes

LE Reichl, LE Reichl - The Transition to Chaos: Conservative Classical …, 2004 - Springer
In the late 1970s, the field of “quantum chaos” underwent a transformation when two
seemingly different branches of physics, random matrix theory and chaos theory, merged …