Introduction to the Graphical Theory of Angular Momentum - Ewald Balcar, Stephen W. Lovesey

Introduction to the Graphical Theory of Angular Momentum

Case Studies
Buch | Softcover
XIII, 227 Seiten
2012 | 2010
Springer Berlin (Verlag)
978-3-642-26060-5 (ISBN)
235,39 inkl. MwSt
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. Here is the first step-by-step exposition of a graphical method grounded in established work.

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.

Properties of 3- and 3-Symbols.- Basic Tools for the Graphical Method.- Orthogonality Relations for 3-Symbols.- Properties of the 6-Symbol.- Properties of the 9-Symbol.- General Principles for Diagrams.- Closed Diagrams.- Open Diagrams.- Application in Atomic Physics.

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)

Erscheint lt. Verlag 14.3.2012
Reihe/Serie Springer Tracts in Modern Physics
Zusatzinfo XIII, 227 p. 280 illus.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 376 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Naturwissenschaften Physik / Astronomie Allgemeines / Lexika
Naturwissenschaften Physik / Astronomie Theoretische Physik
Schlagworte 3nj-symbols • Angular momentum • Coupling coefficients • Drehimpuls • Graphical method • quantum mechanics • Racah algebra
ISBN-10 3-642-26060-8 / 3642260608
ISBN-13 978-3-642-26060-5 / 9783642260605
Zustand Neuware
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