VARIATIONAL CALCULATIONS OF SCATTERING

Abstract

The behavior of calculated results using variational principles for scattering problems is found to be rather different from that previously known for bound-state problems. As more and more adjustable terms are added to the trial function, the stationary value for the phase shift does not converge smoothly, but may on occasion turn out to be grossly inaccurate. This phenomenon is displayed and partially analyzed, but not completely understood. The conclusion is drawn that for a given amount of computational labor, a scattering phase shift may be determined only to an accuracy an order of magnitude worse than that of the analogous eigenvalue problem. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1961
Accession Number
AD0270174

Entities

People

  • Charles L. Schwartz

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Eigenvalues
  • Mathematics
  • Phase Shift
  • Scattering
  • Stationary
  • Variational Principles

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Educational Psychology
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering