ALGEBRAIC APPROACH TO THE SCATTERING MATRIX

1984
4 pages
Published in:
  • Phys.Rev.Lett. 53 (1984) 17-20

Citations per year

198519942003201220212310
Abstract: (APS)
A purely algebraic procedure is presented for calculating recursion relations for S matrices belonging to problems associated with the group SU(1,1). The procedure involves supplementing a recently introduced group-theoretic approach to scattering by an algebraic framework that characterizes asymptotic behavior. Our formulation makes use of the Euclidean group, which contains the symmetry transformations for a free particle. The Coulomb and Pöschl-Teller potentials are discussed to illustrate our methods.
  • S-MATRIX: ASYMPTOTIC BEHAVIOR
  • GROUP THEORY: SU(1,1)
  • POTENTIAL: COULOMB