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
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.