Accession Number : ADA298792

Title :   Convergence Acceleration for the Kohn Variational Method in the Presence of a Long-Range Interaction,

Corporate Author : PHILLIPS LAB HANSCOM AFB MA

Personal Author(s) : Forrey, Robert C. ; Hill, Robert N. ; Sharma, Ramesh D.

PDF Url : ADA298792

Report Date : 06 SEP 1995

Pagination or Media Count : 19

Abstract : The paper presents a distorted wave generalization of the S-matrix version of the Kohn variational principal developed by Zhang, Chu, and Miller J. Chem. Phys. 88, 10 (1988). For scattering in the presence of a long range interaction, the large-r asymptotic solution to the Schrodinger equation is built into the Kohn variational principal order by order in an effort to accelerate convergence of the short-range square integrable part of the basis set expansion. The improvement in the rate of convergence is demonstrated by applying the method to a long-range model potential. Multichannel scattering is discussed. (AN)

Descriptors :   *SCHRODINGER EQUATION, *VARIATIONAL PRINCIPLES, *S MATRIX, *POTENTIAL SCATTERING, MATHEMATICAL MODELS, REPRINTS, ACCELERATION, CHARGED PARTICLES, ELECTRON ENERGY, APPROXIMATION(MATHEMATICS), CONVERGENCE, WAVE FUNCTIONS, DISTORTION, PLANE WAVES, VARIATIONAL METHODS, MULTICHANNEL, PHASE SHIFT, BESSEL FUNCTIONS.

Subject Categories : Numerical Mathematics
      Nuclear Physics & Elementary Particle Physics

Distribution Statement : APPROVED FOR PUBLIC RELEASE