460 citations · 2.4k across the 71 of their papers we have counts for
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Quantum Multiple Scattering: Eigenmode Expansion and Its Applications to Proximity Resonance
Sheng Li, Eric J. Heller
We show that for a general system of N s-wave point scatterers, there are always N eigenmodes. These eigenmodes or eigenchannels play the same role as spherical harmonics for a sph…
Consolidating boundary methods for finding the eigenstates of billiards
Doron Cohen, Natasha Lepore, Eric J. Heller
The plane-wave decomposition method (PWDM), a widely used means of numerically finding eigenstates of the Helmholtz equation in billiard systems is described as a variant of the ma…
Quantum Coherence Beyond the Thermal Length
S. E. J. Shaw, R. Fleischmann, E. J. Heller
Recent experiments have used scattering to map the flow of electrons in a two-dimensional electron gas. Among other things, the data from these experiments show perseverance of reg…
A new class of semiclassical wave function uniformizations
Jiri Vanicek, Eric J. Heller
We present a new semiclassical technique which relies on replacing complicated classical manifold structure with simpler manifolds, which are then evaluated by the usual semiclassi…