Study Unitary Symmetry And Combinatorics (9812814728)

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James D. Louck "Unitary Symmetry And Combinatorics"

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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	Science/Engineering Symmetry Rules: How Science and Nature Are Founded on Symmetry Joseph Rosen “Symmetry Rules: How Science and Nature Are Founded on Symmetry" Springer \| 2008-04-01 \| ISBN:3540759727 \| PDF \| 319 pages \| 2 Mb When we use science to describe and understand the world around us, we are in essence grasping ...
	Science/Engineering Combinatorics: Set Systems, Hypergraphs, Families of Vectors and Probabilistic Combinatorics Bela Bollobás “Combinatorics: Set Systems, Hypergraphs, Families of Vectors and Probabilistic Combinatorics" Cambridge University Press \| 1986-08-29 \| ISBN: 0521337038 \| 190 pages \| Djvu \| 3 MB Combinatorics is a book whose main th ...
	Science/Engineering Unitary Representations of the Poincare Group and Relativistic Wave Equations Unitary Representations of the Poincare Group and Relativistic Wave Equations: Y Ohnuki (Nagoya, Japan), translated by S Kitakado & T Sugiyama (Nagoya, Japan) World Scientific Pub Co Inc \| ISBN: 997150250X \| November 1988 \| djvu (ocr) ...
	Technical Unitary Representations and Harmonic Analysis Unitary Representations and Harmonic Analysis Publisher: North-Holland \| ISBN: 0444885935 \| edition 1990 \| PDF \| 452 pages \| 18,43 mbThe principal aim of this book is to give an introduction to harmonic analysis and the theory of unitary r ...
	Science/Engineering Symmetry Rules: How Science and Nature Are Founded on Symmetry (The Frontiers Collection) Author: Joe RosenPublisher: Springer (2008)Binding: Hardcover, 305 pagespricer: $59.95ISBN-10: 3540759727editorialreviewsWhen we use science to describe and understand the world around us, we are in essence grasping nature through symmetry. ...
	Science/Engineering The Unitary and Rotation Groups (Lectures on Applied Mathematics, Volume 3)

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