Accession Number:

ADA142336

Title:

A Taylor Series in Symmetry-Adaptable Functions.

Descriptive Note:

Technical rept.,

Corporate Author:

OAKLAND UNIV ROCHESTER MICH DEPT OF CHEMISTRY

Personal Author(s):

• McKinley,J. M.
• Schmidt,P. P.

Report Date:

1983-10-01

Pagination or Media Count:

12.0

Abstract:

We present a Taylor series in spherical polar coordinates for a general class of functions which separate into purely angular and purely radial parts. The series depends upon the spherical harmonic functions, and, therefore, is symmetry-adaptable. The general expression for the series is developed and some specific examples are considered. In particular, we note that the Taylor series coincides with the Laplace expansion for the Coulomb potential. When the display the particular series for the exponential, exp-ar, and the inverse power law, r to the minus q power.

Descriptors:

• *TAYLORS SERIES
• *SYMMETRY
• *MOLECULE MOLECULE INTERACTIONS
• FOURIER TRANSFORMATION
• Q SWITCHING
• COORDINATES
• POWER
• EXPANSION
• POTENTIAL ENERGY
• ADAPTATION
• FUNCTIONS(MATHEMATICS)
• BESSEL FUNCTIONS
• LAPLACE TRANSFORMATION
• HARMONIC ANALYSIS

Subject Categories:

• Theoretical Mathematics
• Nuclear Physics and Elementary Particle Physics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE