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Unitary Symmetry And Combinatorics James D Louck

Name: Unitary Symmetry And Combinatorics James D Louck
SKU: BELL-1143190
Price: 31.00 USD
Availability: InStock
Rating: 4.4 (102 reviews)

SKU: BELL-1143190

$ 31.00 ~~$ 45.00~~ (-31%)

4.4

102 reviews

Unitary Symmetry And Combinatorics James D Louck instant download after payment.

Publisher: World Scientific

File Extension: PDF

File size: 2.81 MB

Pages: 619

Author: James D. Louck

ISBN: 9789812814722, 9812814728

Language: English

Year: 2008

Product desciption

Unitary Symmetry And Combinatorics James D Louck by James D. Louck 9789812814722, 9812814728 instant download after payment.

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.

Contents: Quantum Angular Momentum; Composite Systems; Graphs and Adjacency Diagrams; Generating Functions; The D -Polynomials: Form; Operator Actions in Hilbert Space; The D-Polynomials: Structure; The General Linear and Unitary Groups; Tensor Operator Theory; Compendium A: Basic Algebraic Objects; Compendium B: Combinatorial Objects.