QUANTUM SCATTERING FROM ARBITRARY BOUNDARIES

Citation
Mge. Daluz et al., QUANTUM SCATTERING FROM ARBITRARY BOUNDARIES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(3), 1997, pp. 2496-2507
Citations number
21
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
56
Issue
3
Year of publication
1997
Part
A
Pages
2496 - 2507
Database
ISI
SICI code
1063-651X(1997)56:3<2496:QSFAB>2.0.ZU;2-4
Abstract
We present a conceptually and numerically simple method for obtaining scattering eigenstates from arbitrary disconnected open or closed boun daries with very general boundary conditions. As a side effect of the derivation, a solution for partially penetrable walls is also found. A s in the boundary integral Green-function method, an integral equation over the boundary results: however, our approach uses delta-function potentials which can have finite or infinite strength) to enforce boun dary conditions and construct the governing equations: rather than Gre en's theorem.