Redundant states and Jost functions for nonlocal potentials

1 October 1979

journal article
research article
Published by American Physical Society (APS) in Physical Review C

Vol. 20 (4) , 1251-1255
https://doi.org/10.1103/physrevc.20.1251

Abstract

This paper considers the existence of Jost solutions

f^{\pm} (k, r)

and the Jost functions

L^{\pm} (k)

in the presence of redundant states. The definition of

L^{\pm} (k)

directly in terms of Fredholm determinants associated with kernels of integral equations is discussed. Examples are used to stress the importance of this relationship when the Jost solutions do not exist.

Keywords

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