Matrix shape approach to scattering theory

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15 Scopus citations


A nonperturbative method of solving scattering problems is presented. It is based on the shape of the potential matrices involved. The matrices are expanded in a basis set whose arguments are the quantum numbers of the system. The resulting set of simultaneous linear equations is easily solved. A numerical example of collinear collisions of an atom and a diatomic vibrator is considered, and the effect of potential matrix shape on the inelastic transition probabilities is investigated.

Original languageEnglish (US)
Pages (from-to)407-423
Number of pages17
JournalThe Journal of chemical physics
Issue number1
StatePublished - 1971
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy
  • Physical and Theoretical Chemistry


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