Modified Lippmann--Schwinger equations for two-body scattering theory with long-range interactions
Two kinds of modified Lippmann-Schwinger equations are derived for the case of long-range potentials. The equations of the first kind are homogeneous and are a direct result of the fact that the standard Lippmann-Schwinger equations do not hold when long-range forces are present. The equations of the second kind depend on the existence of an operator Z such that W/sub plus or minus /=s-lim exp(iHt)Z exp-(-iHot). A general recipe for constructing Z is given and ita computation is carried through for the case of asymptotically Coulombic potentials. The resulting equations are used to compare the long-range theory with the theory with a space cutoff (i.e., screened potential) in the limit in which that cutoff is being removed. (auth)
- Research Organization:
- Department of Mathematics, University of Toronto, Toronto M5S 1A1, Canada
- NSA Number:
- NSA-29-006308
- OSTI ID:
- 4378974
- Journal Information:
- J. Math. Phys. (N.Y.), v. 14, no. 10, pp. 1398-1409, Other Information: Orig. Receipt Date: 30-JUN-74
- Country of Publication:
- United States
- Language:
- English
Similar Records
On the Lippmann--Schwinger equation for atom--diatom collisions: A rotating frame treatment
Three-body Lippmann-Schwinger equations