Unitary Symmetry And Combinatorics

By: James D Louck

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Hardcover | 2 September 2008

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644 Pages

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24.13 x 16.51 x 3.18

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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.

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You Can Find This Book In

Non-Fiction Mathematics Combinatorics & Graph Theory Science Physics Quantum Physics & Quantum Mechanics & Quantum Field Theory Science in General Booktopia Publisher Services World Scientific Publishing

Quantum angular momentum	p. 1
Composite systems	p. 83
Graphs and adjacency diagrams	p. 163
Generating functions	p. 229
The D[superscript[lambda]]-polynomials : form	p. 261
Operator actions in Hilbert space	p. 285
The D[superscript [lambda]]-polynomials : structure	p. 325
The general linear and unitary groups	p. 355
Tensor operator theory	p. 379
Compendium A : basic algebraic objects	p. 447
Compendium B : combinatorial objects	p. 505
Bibliography	p. 597
Index	p. 611
Table of Contents provided by Blackwell. All Rights Reserved.

Unitary Symmetry And Combinatorics

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