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James D. Louck 作者

譯者

2008-9 出版日期

644 頁數

$ 212.00 價格

叢書系列

9789812814722 圖書編碼

Unitary Symmetry And Combinatorics 在線電子書圖書標籤: 物理學 Math

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發表於2024-09-22

Unitary Symmetry And Combinatorics 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Unitary Symmetry And Combinatorics 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Unitary Symmetry And Combinatorics 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Unitary Symmetry And Combinatorics 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Unitary Symmetry And Combinatorics 在線電子書圖書描述

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.

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