A time-dependent approach to the total scattering cross section
- 1 September 1979
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 12 (9), 1469-1492
- https://doi.org/10.1088/0305-4470/12/9/014
Abstract
A method is developed, within the framework of time-dependent scattering theory, of proving finiteness at almost all energies of the total cross section for scattering by a wide class of potentials which roughly decrease more rapidly than r-2 at infinity, but which may have arbitrary local singularities.Keywords
This publication has 17 references indexed in Scilit:
- Asymptotic completeness for quantum mechanical potential scatteringCommunications in Mathematical Physics, 1978
- A note on Hunziker's theoremCommunications in Mathematical Physics, 1977
- Existence and completeness of the wave operators in scattering theory with momentum-dependent potentialsJournal of Functional Analysis, 1977
- On the decoupling of finite singularities from the question of asymptotic completeness in two body quantum systemsJournal of Functional Analysis, 1976
- Scattering into cones. II. n-body problemsJournal of Mathematical Physics, 1973
- Singular PotentialsReviews of Modern Physics, 1971
- Scattering into cones I: Potential scatteringCommunications in Mathematical Physics, 1969
- Møller operators for scattering on singular potentialsCommunications in Mathematical Physics, 1966
- Asymptotic Behavior and Subtractions in the Mandelstam RepresentationPhysical Review B, 1961
- Rigorous Derivation of the Phase Shift Formula for the Hilbert Space Scattering Operator of a Single ParticleJournal of Mathematical Physics, 1960