This monograph integrates unitary symmetry and combinatorics, showing in great detail how the coupling of angular momenta in quantum mechanics is related to binary trees, trivalent trees, cubic graphs, MacMahon's master theorem, and other basic combinatorial concepts. A comprehensive theory of recoupling matrices for quantum angular momentum is developed. For the general unitary group, polynomial forms in many variables called matrix Schur functions have the remarkable property of giving all irreducible representations of the general unitary group and are the basic objects of study. The structure of these irreducible polynomials and the reduction of their Kronecker product is developed in detail, as is the theory of tensor operators.
By:
James D Louck (Los Alamos Nat'l Lab Usa) Imprint: World Scientific Publishing Co Pte Ltd Country of Publication: Singapore Dimensions:
Height: 226mm,
Width: 155mm,
Spine: 41mm
Weight: 1.043kg ISBN:9789812814722 ISBN 10: 9812814728 Pages: 644 Publication Date:02 September 2008 Audience:
College/higher education
,
Further / Higher Education
Format:Hardback Publisher's Status: Active