%0 Journal Article
%A Wuttke, Joachim
%T The zig-zag walk with scattering and absorption on the real half line and in a lattice model
%J Journal of physics / A
%V 47
%N 21
%@ 1751-8121
%C Bristol
%I IOP Publ.
%M FZJ-2014-03303
%P 215203 -
%D 2014
%X The Darwin?Hamilton equations, describing one-dimensional transport with scattering and absorption, are expanded into a recursion. The solution involves ballot numbers. The recurrence probability as function of scattering order is given by Catalan numbers. To reproduce this analytical result in a lattice model, a novel relation between Narayana and Catalan numbers is derived.
%F PUB:(DE-HGF)16
%9 Journal Article
%U <Go to ISI:>//WOS:000336718700008
%R 10.1088/1751-8113/47/21/215203
%U https://juser.fz-juelich.de/record/153823