Choice of phase in the CS and IOS approximation
With the recognition that the angular momentum representations of unit position and momentum directional states must have different but uniquely related phases, the previously presented expression of scattering amplitude in terms of IOS angle dependent phase shifts must be modified. This resolves a major disagreement between IOS and close coupled degeneracy averaged differential cross sections. It is found that the phase factors appearing in the differential cross section have nothing to do with any particular choice of decoupling parameter. As a consequence, the differential cross section is relatively insensitive to the choice of CS decoupling parameter. The phase relations obtained are also in agreement with those deduced from the Born approximation.
- Research Organization:
- Department of Chemistry, University of British Columbia, Vancouver, Canada V6T 1Y6
- OSTI ID:
- 5424377
- Journal Information:
- J. Chem. Phys.; (United States), Vol. 76:7
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
MOLECULE COLLISIONS
ANGULAR MOMENTUM OPERATORS
SUDDEN APPROXIMATION
BORN APPROXIMATION
DIFFERENTIAL CROSS SECTIONS
PHASE SHIFT
POSITION OPERATORS
S MATRIX
COLLISIONS
CROSS SECTIONS
MATHEMATICAL OPERATORS
MATRICES
QUANTUM OPERATORS
640304* - Atomic
Molecular & Chemical Physics- Collision Phenomena
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics