Abstract
We present a method for efficiently calculating the one-particle Green's function (OPGF) for the interaction of a particle with a static potential using an iterative procedure that avoids the necessity for inversion of large matrices. The OPGF for a hierarchy of successively larger systems converging to the full system under study are thereby also obtained. We demonstrate the usefulness of the method, applying it to determine the bound-state spectrum and density of states of one particle interacting with mesoscopic size and extended two-dimensional systems. Applications to a variety of physical systems are briefly discussed.
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