A PATTERN CALCULUS FOR TENSOR OPERATORS IN THE UNITARY GROUPS,

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)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1967
Accession Number
AD0662755

Entities

People

  • J. D. Louck
  • L. C. Biedenharn

Organizations

  • Duke University

Tags

DTIC Thesaurus Topics

  • Behavior And Behavior Mechanisms
  • Behavioral Disciplines And Activities
  • Behavioral Sciences
  • Calculus
  • Cooperation
  • Group Dynamics
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Theoretical Analysis.