Group Symmetries in Nuclear Structure
Group Symmetries in Nuclear Structure

Author: J. Parikh

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 281

ISBN-13: 1468423762

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This book is the result of a graduate-level "special topics" course I gave at the University of Rochester in 1970. The purpose of the course was to discuss as far as possible all known symmetries in nuclei, with special emphasis on dynamical symmetries. Since there was no comprehensive account of this subject in the literature, I was encouraged to write a review based on my lecture notes. The end result is the present volume. Like the course, the book is intended mainly for graduate students and research workers in nuclear physics. The only prior knowledge required to follow the book is graduate-level quantum mechanics and nuclear physics and hence I believe that it can be useful to both experimental and theoretical nuclear physicists. In addition, the book should prepare a student to read the latest literature on the subject and also train him to do group theoretic work in nuclear physics. The organization of the material in the book is described in Chapter 1.

SU(3) Symmetry in Atomic Nuclei
SU(3) Symmetry in Atomic Nuclei

Author: V. K. B. Kota

Publisher: Springer Nature

Published: 2020-04-02

Total Pages: 297

ISBN-13: 9811536031

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This book provides an understandable review of SU(3) representations, SU(3) Wigner–Racah algebra and the SU(3) ⊃ SO(3) integrity basis operators, which are often considered to be difficult and are avoided by most nuclear physicists. Explaining group algebras that apply to specific physical systems and discussing their physical applications, the book is a useful resource for researchers in nuclear physics. At the same time it helps experimentalists to interpret data on rotational nuclei by using SU(3) symmetry that appears in a variety of nuclear models, such as the shell model, pseudo-SU(3) model, proxy-SU(3) model, symplectic Sp(6, R) model, various interacting boson models, various interacting boson–fermion models, and cluster models. In addition to presenting the results from all these models, the book also describes a variety of statistical results that follow from the SU(3) symmetry.

Symmetries in Physics
Symmetries in Physics

Author: Alejandro Frank

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 415

ISBN-13: 3642772846

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This volume gives a borad overview on symmetry methods ypplied to molecular and nuclear physics, to particle physics, decay processes, and phase space dynamics. The thoroughly edited contributions should be of interest not only to scientists but also to thos that want to see how symmetry considerations are put to work in twentieth century physics.

Algebraic Approaches to Nuclear Structure
Algebraic Approaches to Nuclear Structure

Author: A. Castenholz

Publisher: CRC Press

Published: 1993-07-20

Total Pages: 582

ISBN-13: 9783718605385

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This book is devoted to algebraic models and their applications. It presents a simple, but thorough, pedagogic approach, starting from the most elementary ideas and building up to the most recent results of advanced theories. The book is designed for a graduate level treatment.

Symmetries, Lie Algebras and Representations
Symmetries, Lie Algebras and Representations

Author: Jürgen Fuchs

Publisher: Cambridge University Press

Published: 2003-10-07

Total Pages: 464

ISBN-13: 9780521541190

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This book gives an introduction to Lie algebras and their representations. Lie algebras have many applications in mathematics and physics, and any physicist or applied mathematician must nowadays be well acquainted with them.

Symmetries and Group Theory in Particle Physics
Symmetries and Group Theory in Particle Physics

Author: Giovanni Costa

Publisher: Springer

Published: 2012-02-03

Total Pages: 300

ISBN-13: 3642154824

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Symmetries, coupled with the mathematical concept of group theory, are an essential conceptual backbone in the formulation of quantum field theories capable of describing the world of elementary particles. This primer is an introduction to and survey of the underlying concepts and structures needed in order to understand and handle these powerful tools. Specifically, in Part I of the book the symmetries and related group theoretical structures of the Minkowskian space-time manifold are analyzed, while Part II examines the internal symmetries and their related unitary groups, where the interactions between fundamental particles are encoded as we know them from the present standard model of particle physics. This book, based on several courses given by the authors, addresses advanced graduate students and non-specialist researchers wishing to enter active research in the field, and having a working knowledge of classical field theory and relativistic quantum mechanics. Numerous end-of-chapter problems and their solutions will facilitate the use of this book as self-study guide or as course book for topical lectures.

Group Representation Theory For Physicists (2nd Edition)
Group Representation Theory For Physicists (2nd Edition)

Author: Jialun Ping

Publisher: World Scientific Publishing Company

Published: 2002-08-15

Total Pages: 602

ISBN-13: 981310600X

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This book introduces systematically the eigenfunction method, a new approach to the group representation theory which was developed by the authors in the 1970's and 1980's in accordance with the concept and method used in quantum mechanics. It covers the applications of the group theory in various branches of physics and quantum chemistry, especially nuclear and molecular physics. Extensive tables and computational methods are presented.Group Representation Theory for Physicists may serve as a handbook for researchers doing group theory calculations. It is also a good reference book and textbook for undergraduate and graduate students who intend to use group theory in their future research careers.

Quantum Worlds
Quantum Worlds

Author: Olimpia Lombardi

Publisher: Cambridge University Press

Published: 2019-04-11

Total Pages: 411

ISBN-13: 1108473474

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Offers a comprehensive and up-to-date volume on the conceptual and philosophical problems related to the interpretation of quantum mechanics.