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Introduction to the Graphical Theory of Angular Momentum

Case Studies

  • Book
  • © 2009

Overview

  • Only book dealing with specific technique of dealing with coupling coefficients in the theory of angular momentum in advanced quantum theory
  • The graphical technique of this book presents an elegant bypass to longwinded algebraic methods
  • Many examples and results with a large number of diagrams documenting transformations and manipulations
  • Control of the graphical method facilitates the derivation of new equalities and can be applied to complex problems in atomic physics
  • Useful reference to researchers and graduate students
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Tracts in Modern Physics (STMP, volume 234)

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Table of contents (10 chapters)

Keywords

About this book

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.

Reviews

From the reviews:

“The present book presents a concise and solid introduction to the graphical methods in the theory of angular momentum. … Each of the diagrams is completed with an explanatory caption that summarises its main features. … this book provides an excellent opportunity to self-study and exploration in angular momentum theory that goes beyond the standard books on the topic. … it represents a highly interesting complement to the theory, which can be further used to discover or derive new relations undetected until now.” (Rutwig Campoamor-Stursberg, Zentralblatt MATH, Vol. 1187, 2010)

“The present book is intended as a reader-friendly introduction into this area. … It contains a historical background, motivation for writing the book and a brief summary of its contents, and some remarks on applications of the graphical theory, including references to the most important works in this area. … It should also be added that the diagrams, which play such a prominent role in the book, were prepared with the help of the PSTricks package and look really nice.”­­­ (Wojciech Lisiecki, Mathematical Reviews, Issue 2011 d)

Authors and Affiliations

  • Atominstitut der Österreichischen, TU Wien, Wien, Austria

    Ewald Balcar

  • ISIS Facility &, Science & Technology Facilities Council, Didcot, Oxfordshire, United Kingdom

    Stephen W. Lovesey

Bibliographic Information

  • Book Title: Introduction to the Graphical Theory of Angular Momentum

  • Book Subtitle: Case Studies

  • Authors: Ewald Balcar, Stephen W. Lovesey

  • Series Title: Springer Tracts in Modern Physics

  • DOI: https://doi.org/10.1007/978-3-642-03118-2

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2009

  • Hardcover ISBN: 978-3-642-03117-5Published: 30 September 2009

  • Softcover ISBN: 978-3-642-26060-5Published: 14 March 2012

  • eBook ISBN: 978-3-642-03118-2Published: 18 September 2009

  • Series ISSN: 0081-3869

  • Series E-ISSN: 1615-0430

  • Edition Number: 1

  • Number of Pages: XIII, 227

  • Number of Illustrations: 280 b/w illustrations

  • Topics: Mathematical Methods in Physics, Computational Science and Engineering

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