Accession Number:

AD0412893

Title:

OPERATOR-EQUIVALENTS,

Descriptive Note:

Corporate Author:

HARRY DIAMOND LABS WASHINGTON D C

Personal Author(s):

• Karayianis ,N.
• Morrison,C. A.

Report Date:

1963-06-25

Pagination or Media Count:

12.0

Abstract:

The method of operator-equivalents that is used to evaluate matrix elements of the form JM T JM is discussed. Here, T is the mth component of an irreducible tensor operator of rank , and JM is a total angular momentum state. An operator is constructed from the spherical components of so that it is patently a spherical tensor. The equivalence between T and is discussed, and the relationship of the latter to a Clebsch-Gordan coefficient is obtained. A method for generating the is developed. This method is used to obtain a general expression for for - 6 m and arbitrary the evaluations of these re sults, specifically for 1 6, are tabulated. Author

Descriptors:

• MATRICES(MATHEMATICS)
• MOMENTUM
• TABLES(DATA)

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE