Theory of Inelastic Collisions. II. The Proof of Conjectured Rules for the WKB-Type General Solutions
- 15 April 1970
- journal article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 52 (8) , 3903-3911
- https://doi.org/10.1063/1.1673589
Abstract
A set of the rules which were conjectured in the first paper of this series for obtaining the WKB-type general solutions of N-coupled radial Schrödinger equations are either derived or proved under an assumption of distinct eigenvalues of a matrix AN′ which is directly related to the coupled equations. These coupled radial Schrödinger equations occur in the multichannel approach in the theory of inelastic collisions of atoms and molecules.Keywords
This publication has 8 references indexed in Scilit:
- Theory of Inelastic Collisions: The WKB-Type General SolutionsThe Journal of Chemical Physics, 1970
- New Method for Constructing Wavefunctions for Bound States and ScatteringThe Journal of Chemical Physics, 1969
- Computational Procedure for the Close-Coupled Rotational Excitation Problem: Scattering of Diatomic Molecules by AtomsThe Journal of Chemical Physics, 1968
- Quantum-Mechanical Calculations of the Inelastic Cross Sections for Rotational Excitation of Para and Ortho H2 upon Collision with HeThe Journal of Chemical Physics, 1968
- A validation of the method of amplitude density functions in computing the S-matrix for a scattering problemChemical Physics Letters, 1967
- Structural features of the S-matrix for the rotational excitation of homonuclear diatomic molecules by atom impact: close-coupled versus approximate computationsChemical Physics Letters, 1967
- Vibrational and Rotational Transitions in Molecular CollisionsProgress of Theoretical Physics Supplement, 1963
- Semiclassical description of scatteringAnnals of Physics, 1959