On the partial summation of the Born series

R. D. Levine*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

A partial summation of the Born series for the transition operator, retaining only the contributions from intermediate states on the energy shell, is shown to yield a unitary S matrix and to be equivalent to the use of the first Born approximation for the reaction matrix. For the distorted-wave Born series the results provide an improved approximation for fast (i.e. sudden) molecular collisions.

Original languageEnglish
Article number303
Pages (from-to)839-842
Number of pages4
JournalJournal of Physics B: Atomic and Molecular Physics
Volume2
Issue number8
DOIs
StatePublished - 1969

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