Recursion relations for the overlap of a Morse continuum state with a Lanczos basis state

Journal Article · Fri Apr 15 04:00:00 EDT 1988 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.37.3151· OSTI ID:5235779

Lutrus, C K; Suck Salk, S H

In the resonant reactive scattering theory of Mundel, Berman, and Domcke (Phys. Rev. A 32, 181 (1985)), the overlap of a Morse continuum state and a Lanczos basis state appears in the expression of transition amplitude. In their study, recursion relations for Green's functions in the Lanczos basis were used for computational efficiency. In this paper we derive new recursion relations specifically for the evaluation of overlap between the Morse continuum wave and Lanczos basis state that appears in the transition amplitude of resonant scattering. They are found to be simple to use with great accuracy.

• Research Organization: Department of Physics and Graduate Center for Cloud Physics Research, University of Missouri--Rolla, Rolla, Missouri 65401-0249
• OSTI ID: 5235779
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 37:8; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

640304* -- Atomic
Molecular & Chemical Physics-- Collision Phenomena
74 ATOMIC AND MOLECULAR PHYSICS
AMPLITUDES
COLLISIONS
ELECTRON COLLISIONS
ELECTRON-MOLECULE COLLISIONS
FUNCTIONS
GREEN FUNCTION
INELASTIC SCATTERING
MOLECULE COLLISIONS
RECURSION RELATIONS
RESONANCE SCATTERING
SCATTERING
TRANSITION AMPLITUDES