Convergence of the Born Expansion

1 March 1960

journal article
Published by AIP Publishing in Journal of Mathematical Physics

Vol. 1 (2) , 131-138
https://doi.org/10.1063/1.1703643

Abstract

The convergence of the iterated Born series for the Green's function in nonrelativistic potential scattering is studied in n dimensions, thus generalizing a recent study of Zemach and Klein. For spherically symmetrical potentials the series is proved to converge at sufficiently high energies for a rather general class of potentials.

Keywords

DIFFERENTIAL EQUATION
GREEN FUNCTION
PERTURBATION THEORY

This publication has 1 reference indexed in Scilit:

The born expansion in non-relativistic quantum theory
Il Nuovo Cimento (1869-1876), 1958