Numerical test of the semiclassical approximation to the multicurve-crossing problem: Three-state model for He/sup +/ + Ne collisions

Journal Article · Thu Sep 01 04:00:00 EDT 1977 · Phys. Rev., A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.16.1082· OSTI ID:7214238

Laing, J R; George, T F

Transitions between adiabatic surfaces are described semiclassically via trajectories propagating about their complex intersection point. This intersection point is a branch point of the potential function and a simple pole of the nonadiabatic coupling. Thus transitions may be described without explicit introduction of the nonadiabatic coupling. This structure is independent of the total number of states, but is most easily shown for two-state systems. A three-state model of the He/sup +/ + Ne collision system is solved by treating the three-state interaction as a sequence of two-state interactions. The results are in excellent agreement with accurate quantum calculations.

• Research Organization: Department of Chemistry, The University of Rochester, Rochester, New York 14627
• OSTI ID: 7214238
• Journal Information: Phys. Rev., A; (United States), Journal Name: Phys. Rev., A; (United States) Vol. 16:3; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

640304* -- Atomic
Molecular & Chemical Physics-- Collision Phenomena
74 ATOMIC AND MOLECULAR PHYSICS
ATOM COLLISIONS
COLLISIONS
ELEMENTS
HELIUM IONS
INTERATOMIC FORCES
ION COLLISIONS
ION-ATOM COLLISIONS
MATHEMATICAL MODELS
NEON
NONMETALS
RARE GASES