Discrete transparent boundary conditions for schrodinger-type equations

摘要

We present a general technique for constructing nonlocal trans- parent boundary conditions for one-dimensional Schrodinger-type equations. Our method supplies boundary conditions for the θ- family of implicit one-step discretizations of Schrodinger's equation in time. The use of Mikusinski's operator approach in time avoids direct and inverse transforms between time and frequency domains and thus implements the boundary conditions in a direct manner.