Angular Momentum Techniques in Quantum Mechanics

V. Devanathan (Autor)

Buch | Softcover

242 Seiten

2010
Springer (Verlag)
978-90-481-5281-0 (ISBN)

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A course in angular momentum techniques is essential for quantitative study of problems in atomic physics, molecular physics, nuclear physics and solid state physics. This book has grown out of such a course given to the students of the M. Sc. and M. Phil. degree courses at the University of Madras. An elementary knowledge of quantum mechanics is an essential pre-requisite to undertake this course but no knowledge of group theory is assumed on the part of the readers. Although the subject matter has group-theoretic origin, special efforts have been made to avoid the gro- theoretical language but place emphasis on the algebraic formalism dev- oped by Racah (1942a, 1942b, 1943, 1951). How far I am successful in this project is left to the discerning reader to judge. After the publication of the two classic books, one by Rose and the other by Edmonds on this subject in the year 1957, the application of angular momentum techniques to solve physical problems has become so common that it is found desirable to organize a separate course on this subject to the students of physics. It is to cater to the needs of such students and research workers that this book is written. A large number of questions and problems given at the end of each chapter will enable the reader to have a clearer understanding of the subject.

Angular Momentum Operators and Their Matrix Elements.- Coupling of Two Angular Momenta.- Vectors and Tensors in Spherical Basis.- Rotation Matrices - I.- Rotation Matrices - II.- Tensor Operators and Reduced Matrix Elements.- Coupling of Three Angular Momenta.- Coupling Of Four Angular Momenta.- Partial Waves and the Gradient Formula.- Identical Particles.- Density Matrix and Statistical Tensors.- Products of Angular Momentum Matrices and Their Traces.- The Helicity Formalism.- The Spin States of Dirac Particles.

Erscheint lt. Verlag	8.12.2010
Reihe/Serie	Fundamental Theories of Physics ; 108
Zusatzinfo	XIV, 242 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
	Naturwissenschaften ► Physik / Astronomie ► Atom- / Kern- / Molekularphysik
	Naturwissenschaften ► Physik / Astronomie ► Plasmaphysik
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
ISBN-10	90-481-5281-X / 904815281X
ISBN-13	978-90-481-5281-0 / 9789048152810
Zustand	Neuware