Representation of a complex Green function on a real basis: I. General Theory
Atomic Physics
2009-10-31 v3
Abstract
When the Hamiltonian of a system is represented by a finite matrix, constructed from a discrete basis, the matrix representation of the resolvent covers only one branch. We show how all branches can be specified by the phase of a complex unit of time. This permits the Hamiltonian matrix to be constructed on a real basis; the only duty of the basis is to span the dynamical region of space, without regard for the particular asymptotic boundary conditions that pertain to the problem of interest.
Cite
@article{arxiv.physics/9909028,
title = {Representation of a complex Green function on a real basis: I. General Theory},
author = {Robin Shakeshaft and Bernard Piraux},
journal= {arXiv preprint arXiv:physics/9909028},
year = {2009}
}
Comments
about 40 pages with 5 eps-figures