Angular Momentum Techniques in Quantum Mechanics

Angular Momentum Techniques in Quantum Mechanics
Author: V. Devanathan
Publisher: Springer Science & Business Media
Total Pages: 255
Release: 2005-12-17
Genre: Science
ISBN: 030647123X

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 in Quantum Physics

Angular Momentum in Quantum Physics
Author: L. C. Biedenharn
Publisher: Cambridge University Press
Total Pages: 0
Release: 2009-03-12
Genre: Science
ISBN: 9780521102445

This 1985 text develops the theory of angular momentum from the viewpoint of a fundamental symmetry in nature and shows how this concept relates to applied areas of research in modern quantum physics.

Notes on the Quantum Theory of Angular Momentum

Notes on the Quantum Theory of Angular Momentum
Author: Eugene Feenberg
Publisher: Courier Corporation
Total Pages: 68
Release: 1999-01-01
Genre: Science
ISBN: 9780486409238

Informative review considers the development of fundamental commutation relations for angular momentum components and vector operators. Additional topics include the computation and application of matrix elements of scalar, vector, and tensor operators for deriving useful relations in the theory of magnetic moments, electric quadruple moments, and dipole transition probabilities.

Angular Momentum Calculus In Quantum Physics

Angular Momentum Calculus In Quantum Physics
Author: Vincent Gillet
Publisher: World Scientific
Total Pages: 174
Release: 1990-09-28
Genre: Science
ISBN: 9814506591

This book is concerned with the practical aspects of solving angular momentum problems. The novel but fully tested-out method (the Invariant Graph Method) allows one to write down from a single graph the complete final result of the problem. The drawing of the graph involves very few simple, essentially self-evident rules. Still it is a powerful tool to easily solve the most involved physical problems.The method is introduced step-by-step in a sequence of examples, beginning with the simplest matrix elements, and ending with the most general case of a reaction including angular distributions and correlations. The many-body and particle anti-particle systems are fully developed. All aspects: wave functions, vectors, operators, Fock space state vectors and operators, etc., are treated on the same footing. All concepts of angular momentum theory acquire a transparent meaning. Hence the book is valuable not only as a handbook in problem solving, but extremely so as an adjunct in any course on advanced qunatum physics, atomic, molecular, nuclear and particle physics.

Angular Momentum in Quantum Mechanics

Angular Momentum in Quantum Mechanics
Author: A. R. Edmonds
Publisher:
Total Pages: 168
Release: 1957
Genre: Angular momentum (Nuclear physics)
ISBN:

Group theoretical preliminaries -- The quantization of angular momentum -- The coupling of angular momentum vectors -- The representations of finite rotations -- Spherical tensors and tensor operators -- The construction of invariants from the vector-coupling coefficients -- The evaluation of matrix elements in actual problems.

Quantum Mechanics

Quantum Mechanics
Author: Louis Marchildon
Publisher: Springer Science & Business Media
Total Pages: 580
Release: 2002-05-13
Genre: Science
ISBN: 9783540433422

This advanced text develops first the underlying concepts of quantum mechanics, thus starting with state spaces of finite dimension followed by the representation of coordinates with their principal formal elements, and their applications such as the harmonic oscillator, magnetic momentum, the hydrogen atom, stationary perturbations etc. This fresh and original text on quantum mechanics focuses on: the development of numerical methods for obtaining specific results; the presentation of group theory and the systematic use of operators; the introduction of the functional integral and its applications in approximation; the discussion of distant correlations and experimental measurements. Numerous exercises with hints and solutions, examples and applications, and a guide to key references help the student to work with the text.

Graphical Recoupling of Angular Momenta

Graphical Recoupling of Angular Momenta
Author: Donald Richard Lehman
Publisher:
Total Pages: 24
Release: 1973
Genre: Angular momentum (Nuclear physics)
ISBN:

A diagrammatic method for solving angular momentum recoupling problems is presented. It is shown that a few graphical elements with a set of rules for their use lead to the solution of many types of recoupling problems in an intuitive and systematic way. Several examples are given together with exercise to develop the reader's facility with the method. (Author).

Basic Principles and Techniques of Molecular Quantum Mechanics

Basic Principles and Techniques of Molecular Quantum Mechanics
Author: Ralph E. Christoffersen
Publisher: Springer
Total Pages: 0
Release: 2012-03-21
Genre: Science
ISBN: 9781468463620

New textbooks at all levels of chemistry appear with great regularity. Some fields like basic biochemistry, organic reaction mechanisms, and chemical thermody namics are well represented by many excellent texts, and new or revised editions are published sufficiently often to keep up with progress in research. However, some areas of chemistry, especially many of those taught at the graduate level, suffer from a real lack of up-to-date textbooks. The most serious needs occur in fields that are rapidly changing. Textbooks in these subjects usually have to be written by scientists actually involved in the research which is advancing the field. It is not often easy to persuade such individuals to set time aside to help spread the knowledge they have accumulated. Our goal, in this series, is to pinpoint areas of chemistry where recent progress has outpaced what is covered in any available textbooks, and then seek out and persuade experts in these fields to produce relatively concise but instructive introductions to their fields. These should serve the needs of one semester or one quarter graduate courses in chemistry and biochemistry. In some cases, the availability of texts in active research areas should help stimulate the creation of new courses. New York, New York CHARLES R. CANTOR Preface This book is not a traditional quantum chemistry textbook. Instead, it represents a concept that has evolved from teaching graduate courses in quantum chemistry over a number of years, and encountering students with diverse backgrounds.

Quantum Physics

Quantum Physics
Author: Mircea S. Rogalski
Publisher: CRC Press
Total Pages: 504
Release: 1999-03-01
Genre: Science
ISBN: 9789056991845

This book presents the basic concepts and methods of quantum mechanics for upper level undergraduate students, allowing them to master its application to real physical situations. A postulate-based treatment is adopted together with a gradual development of the quantum formalism of wave functions, operators, measurement and temporal evolution. Standard topics of one-dimensional and atomic motion, angular momentum and approximation methods are presented in addition to detailed discussions of many-particle systems, atomic and nuclear radiation. Appropriate mathematical tools and techniques are provided wherever necessary. The core text is supplemented by 77 worked examples, some of which address more complex issues and aspects of present-day research. The aim is to make this textbook a realistic introduction to more advanced and specialized texts. The material provides full coverage of the subject matter, 94 problems with solutions and a further 93 with answers only