Angular Momentum Techniques In Quantum Mechanics

Author : V. Devanathan
Publisher : Springer Science & Business Media
Page : 242 pages
File Size : 47,7 Mb
Release : 2006-04-11
Category : Science
ISBN : 9780306471230

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Angular Momentum Techniques in Quantum Mechanics by V. Devanathan Pdf

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.

Author : L. C. Biedenharn,James D. Louck
Publisher : Westview Press
Page : 756 pages
File Size : 55,6 Mb
Release : 1981
Category : Science
ISBN : MINN:319510004835498

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Angular Momentum in Quantum Physics by L. C. Biedenharn,James D. Louck Pdf

Author : Claude Cohen-Tannoudji,Bernard Diu,Franck Laloë
Publisher : John Wiley & Sons
Page : 707 pages
File Size : 54,6 Mb
Release : 2019-12-04
Category : Science
ISBN : 9783527345540

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Quantum Mechanics, Volume 2 by Claude Cohen-Tannoudji,Bernard Diu,Franck Laloë Pdf

This new edition of the unrivalled textbook introduces concepts such as the quantum theory of scattering by a potential, special and general cases of adding angular momenta, time-independent and time-dependent perturbation theory, and systems of identical particles. The entire book has been revised to take into account new developments in quantum mechanics curricula. The textbook retains its typical style also in the new edition: it explains the fundamental concepts in chapters which are elaborated in accompanying complements that provide more detailed discussions, examples and applications. * The quantum mechanics classic in a new edition: written by 1997 Nobel laureate Claude Cohen-Tannoudji and his colleagues Bernard Diu and Franck Laloë * As easily comprehensible as possible: all steps of the physical background and its mathematical representation are spelled out explicitly * Comprehensive: in addition to the fundamentals themselves, the book contains more than 170 worked examples plus exercises Claude Cohen-Tannoudji was a researcher at the Kastler-Brossel laboratory of the Ecole Normale Supérieure in Paris where he also studied and received his PhD in 1962. In 1973 he became Professor of atomic and molecular physics at the Collège des France. His main research interests were optical pumping, quantum optics and atom-photon interactions. In 1997, Claude Cohen-Tannoudji, together with Steven Chu and William D. Phillips, was awarded the Nobel Prize in Physics for his research on laser cooling and trapping of neutral atoms. Bernard Diu was Professor at the Denis Diderot University (Paris VII). He was engaged in research at the Laboratory of Theoretical Physics and High Energy where his focus was on strong interactions physics and statistical mechanics. Franck Laloë was a researcher at the Kastler-Brossel laboratory of the Ecole Normale Supérieure in Paris. His first assignment was with the University of Paris VI before he was appointed to the CNRS, the French National Research Center. His research was focused on optical pumping, statistical mechanics of quantum gases, musical acoustics and the foundations of quantum mechanics.

Author : A. R. Edmonds
Publisher : Princeton University Press
Page : 160 pages
File Size : 55,9 Mb
Release : 2016-08-10
Category : Science
ISBN : 9781400884186

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Angular Momentum in Quantum Mechanics by A. R. Edmonds Pdf

This book offers a concise introduction to the angular momentum, one of the most fundamental quantities in all of quantum mechanics. Beginning with the quantization of angular momentum, spin angular momentum, and the orbital angular momentum, the author goes on to discuss the Clebsch-Gordan coefficients for a two-component system. After developing the necessary mathematics, specifically spherical tensors and tensor operators, the author then investigates the 3-j, 6-j, and 9-j symbols. Throughout, the author provides practical applications to atomic, molecular, and nuclear physics. These include partial-wave expansions, the emission and absorption of particles, the proton and electron quadrupole moment, matrix element calculation in practice, and the properties of the symmetrical top molecule.

Author : Eugene Feenberg,George Edward Pake
Publisher : Courier Corporation
Page : 64 pages
File Size : 42,7 Mb
Release : 2013-01-23
Category : Science
ISBN : 9780486173931

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Notes on the Quantum Theory of Angular Momentum by Eugene Feenberg,George Edward Pake Pdf

Informative review considers development of fundamental commutation relations for angular momentum components and vector operators. Additional topics include computation and application of matrix elements of scalar, vector, and tensor operators.

Author : L. C. Biedenharn,Hendrik Van Dam
Publisher : Unknown
Page : 352 pages
File Size : 54,6 Mb
Release : 1965
Category : Science
ISBN : UOM:39015001328791

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Quantum Theory of Angular Momentum by L. C. Biedenharn,Hendrik Van Dam Pdf

Author : Michael Danos,Vincent Gillet
Publisher : World Scientific
Page : 178 pages
File Size : 43,6 Mb
Release : 1990
Category : Science
ISBN : 9810204124

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Angular Momentum Calculus in Quantum Physics by Michael Danos,Vincent Gillet Pdf

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.

Author : Mircea S. Rogalski,Stuart B. Palmer
Publisher : CRC Press
Page : 488 pages
File Size : 41,8 Mb
Release : 2020-11-17
Category : Science
ISBN : 9781000124736

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Quantum Physics by Mircea S. Rogalski,Stuart B. Palmer Pdf

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

Author : K.T. Hecht
Publisher : Springer Science & Business Media
Page : 768 pages
File Size : 46,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461212720

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Quantum Mechanics by K.T. Hecht Pdf

Intended for beginning graduate students, this text takes the reader from the familiar coordinate representation of quantum mechanics to the modern algebraic approach, emphasizing symmetry principles throughout. After an introduction to the basic postulates and techniques, the book discusses time-independent perturbation theory, angular momentum, identical particles, scatteering theory, and time-dependent perturbation theory. The whole is rounded off with several lectures on relativistic quantum mechanics and on many-body theory.

Author : Louis Marchildon
Publisher : Springer Science & Business Media
Page : 557 pages
File Size : 51,5 Mb
Release : 2013-03-09
Category : Science
ISBN : 9783662047507

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Quantum Mechanics by Louis Marchildon Pdf

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.

Author : Valeria D. Kleiman,Hongkun Park,Robert J. Gordon,Richard N. Zare
Publisher : John Wiley & Sons
Page : 214 pages
File Size : 45,6 Mb
Release : 1998-09-30
Category : Science
ISBN : 047119249X

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A Companion to Angular Momentum by Valeria D. Kleiman,Hongkun Park,Robert J. Gordon,Richard N. Zare Pdf

Angular momentum is a basic concept used in classical physics. Examples of phenomena that are related to angular momentum are: 1) Why a moving bicycle does not fall over and 2) why the currents in the ocean of the rotating earth tend to follow circular motions. Designed as a learning tool for those with limited background in quantum mechanics and to compliment Zare's Angular Momentum, this book provides examples, problems, & solutions in angular momentum in quantum mechanics and its applications to chemistry and physics.

Author : Sakir Erkoc
Publisher : CRC Press
Page : 451 pages
File Size : 44,6 Mb
Release : 2006-07-28
Category : Science
ISBN : 9781584887324

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Fundamentals of Quantum Mechanics by Sakir Erkoc Pdf

Providing a unified account of nonrelativistic quantum mechanics, Fundamentals of Quantum Mechanics covers the principles and formalism of quantum mechanics and the development and application of general techniques for the solution of quantum mechanical problems. The author has done everything possible to make the math in this book accessible. The book is divided into three parts. The first part provides the historical basis and mathematical foundations on nonrelativistic quantum theory. The physical systems considered in this part are mainly in one dimension. The second part covers the fundamentals of quantum theory in three dimensions. Many-particle systems, the motion of a particle in three dimensions, angular and spin momenta, interaction of a charged particle with external fields, and matrix mechanical formulation of quantum mechanics are discussed in this part. The third part contains the approximation methods used in quantum mechanics and scattering theory. Carefully designed to cover the entire topic, the book provides sufficient breadth and depth both to familiarize readers with the basic ideas and mathematical expressions of quantum mechanics and to form the basis for deeper understanding.

Author : Alan Robert Edmonds
Publisher : Unknown
Page : 81 pages
File Size : 45,6 Mb
Release : 1955
Category : Electronic
ISBN : OCLC:878848870

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Angular Momentum in Quantum Mechanics by Alan Robert Edmonds Pdf

Author : Ewald Balcar,Stephen W. Lovesey
Publisher : Springer
Page : 227 pages
File Size : 55,6 Mb
Release : 2009-09-18
Category : Science
ISBN : 9783642031182

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

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 : John P. Killingbeck
Publisher : Unknown
Page : 248 pages
File Size : 55,9 Mb
Release : 1975
Category : Science
ISBN : UOM:39015001329930

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Techniques of Applied Quantum Mechanics by John P. Killingbeck Pdf