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Introduction to the Graphical Theory of Angular Momentum: Case Studies

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Application of quantum mechanics in physics and chemistry often entails manipulation and evaluation of sums and products of coupling coefficients for the theory of angular momentum. Challenges encountered in such work can be tamed by graphical techniques that provide both the insight and analytical power. The book is the first step-by-step exposition of a graphical method grounded in established work. Copious exercises recover standard results but demonstrate the power to go beyond.

Author(s): Ewald Balcar, Stephen W. Lovesey (auth.)
Series: Springer Tracts in Modern Physics 234
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2009

Language: English
Pages: 227
Tags: Mathematical Methods in Physics;Computational Science and Engineering

Front Matter....Pages i-xi
Introduction....Pages 1-6
Properties of 3 jm - and 3 nj -Symbols....Pages 7-10
Basic Tools for the Graphical Method....Pages 11-30
Orthogonality Relations for 3 jm -Symbols....Pages 31-40
Properties of the 6 j -Symbol....Pages 41-47
Properties of the 9 j -Symbol....Pages 49-53
General Principles for Diagrams....Pages 55-71
Closed Diagrams....Pages 73-117
Open Diagrams....Pages 119-157
Application in Atomic Physics....Pages 159-200
Back Matter....Pages 1-24