Showing papers in "Journal of the Research Association of Powder Technology, Japan in 1966"

On the ζ-Potential

Abstract: The eigenchannel method, generalizing the familiar phaseshift method, is formulated for scattering from a Hermitian short range potential. Scattering eigenchannels are defined as eigenstates of some generalized (weighted) operator spectral problem. Eigenvalues of that problem define eigenphaseshifts, the former being the negative of cotangents of the latter. Eigenchannel representations of generalized scattering states, transition operators, and Green operators are constructed. A variational approach to the method is also presented. The general theory is illustrated by applications to scattering of Schr€ odinger and Dirac particles. 2003 Elsevier Inc. All rights reserved.