Unitary Symmetry And Combinatorics 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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James D. Louck 作者

译者

2008-9 出版日期

644 页数

$ 212.00 价格

丛书系列

9789812814722 图书编码

Unitary Symmetry And Combinatorics 在线电子书图书标签: 物理學 Math

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发表于2024-09-22

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Unitary Symmetry And Combinatorics 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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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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