
Accession Number : AD0662755
Title : A PATTERN CALCULUS FOR TENSOR OPERATORS IN THE UNITARY GROUPS,
Corporate Author : DUKE UNIV DURHAM N C
Personal Author(s) : Biedenharn,L. C. ; Louck,J. D.
Report Date : 1967
Pagination or Media Count : 75
Abstract : For a large class of tensor operators in U(n), a surprisingly simple diagrammatic calculus of patterns is shown to exist; to each operator of this class a pattern may be assigned in terms of which the complete algebraic formula for all matrix elements may be read off directly. The class of operators includes all fundamental, elementary and extremal Wigner operators in all U(n). Application of the pattern calculus toward the explicit determination of all tensor operators is discussed. (Author)
Descriptors : (*OPERATORS(MATHEMATICS), TENSOR ANALYSIS), (*GROUPS(MATHEMATICS), PROBLEM SOLVING), MOMENTUM, MATRICES(MATHEMATICS), BOSONS, PERMUTATIONS, TRANSFORMATIONS(MATHEMATICS)
Subject Categories : Theoretical Mathematics
Nuclear Physics & Elementary Particle Physics
Distribution Statement : APPROVED FOR PUBLIC RELEASE