Unitary symmetry and combinatorics

著者

• Louck, James D.

書誌事項

Unitary symmetry and combinatorics

James D. Louck

World Scientific, c2008

注記

Includes bibliographical reference (p. 597-609) and index

内容説明・目次

内容説明

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.

目次

• 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.

「Nielsen BookData」 より

• NII書誌ID(NCID): BA87227290
• ISBN:
  • 9789812814722
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New Jersey
• ページ数/冊数: xxi, 619 p.
• 大きさ: 24 cm