The role of complex trajectories in elastic scattering
- 1 October 1975
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 63 (7), 3109-3114
- https://doi.org/10.1063/1.431737
Abstract
Undulations in differential elastic cross sections have previously been attributed to interference between the amplitudes of classical trajectories having the same observed scattering angle. From this point of view, oscillations resulting from a monotonically repulsive central potential are hard to understand, since in this case there is no interference from real trajectories. We have examined in detail the complex trajectories for the potential energy function 4r−12, and found that there are complex impact parameters with real positive and negative scattering angles. We showed that the semiclassical formulation of Ford and Wheeler is accurate, provided that the first complex stationary phase point for negative scattering angles is included.Keywords
This publication has 39 references indexed in Scilit:
- Comparison of quasiclassical trajectory and classical S-matrix treatments of collinear collisions of F and D2The Journal of Chemical Physics, 1974
- Semiclassical S-matrix theory of vibrationally inelastic collisions between two diatomic moleculesThe Journal of Chemical Physics, 1974
- Quantum correction factors for classical small angle scattering by inverse power potentialsThe Journal of Chemical Physics, 1974
- Classical S-Matrix for Vibrational Excitation of H2 by Collision with He in Three DimensionsThe Journal of Chemical Physics, 1972
- Exact Series Solution of Classical Deflection Angle for Repulsive Inverse Power PotentialThe Journal of Chemical Physics, 1972
- The convergence behaviour of expansions in the classical collision theoryThe European Physical Journal A, 1965
- Der Regenbogeneffekt und Interferenzerscheinungen bei molekularen StößenThe European Physical Journal A, 1965
- Semiclassical description of scatteringAnnals of Physics, 1959
- Space-Time Approach to Non-Relativistic Quantum MechanicsReviews of Modern Physics, 1948
- The scattering of electrons in ionizing collisions with gas atomsProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1934