Accession Number:

AD0270174

Title:

VARIATIONAL CALCULATIONS OF SCATTERING

Descriptive Note:

Corporate Author:

CALIFORNIA UNIV BERKELEY

Personal Author(s):

• SCHWARTZ,CHARLES L.

Report Date:

1961-12-01

Pagination or Media Count:

1.0

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

Descriptors:

• *CALCULUS OF VARIATIONS
• *SCATTERING
• MATHEMATICAL ANALYSIS
• MATRICES(MATHEMATICS)

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE