Formal scattering theory by an algebraic approach

Y. Alhassid*, R. D. Levine

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

Formal scattering theory is recast in a Lie-algebraic form. The central result is an algebraic Lippmann-Schwinger equation for the wave operator from which an algebraic form of the Born series (containing only linked terms) is obtained. When a finite Lie algebra is sufficient, The Mo/ller wave operator, on the energy shell, can be solved for explicitly as an element of the corresponding group. The method is illustrated for the separable potential whose relevant algebra is found to be U(1,1).

Original languageEnglish
Pages (from-to)739-741
Number of pages3
JournalPhysical Review Letters
Volume54
Issue number8
DOIs
StatePublished - 1985

Fingerprint

Dive into the research topics of 'Formal scattering theory by an algebraic approach'. Together they form a unique fingerprint.

Cite this