Symmetries in Physics: Group and Representation Theory with Applications
Author:   Andreas Wipf
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:  

9783662726747


Publication Date:   14 March 2026
Format:   Paperback
Availability:   Not yet available   Availability explained
This item is yet to be released. You can pre-order this item and we will dispatch it to you upon its release.

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Symmetries in Physics: Group and Representation Theory with Applications


Overview

The present book guides through the symmetries in physics: It introduces and discusses important groups and symmetries from atomic and molecular physics, solid-state physics, particle physics and (quantum) field theory. The book is aimed at physics students who are either attending lectures on group and representation theory or wish to delve into group theory and symmetries in physics as part of their bachelor's, master's, or doctoral thesis. Topics covered include finite and continuous groups, Lie algebras and their representations, as well as quantum mechanics, classical and quantized field theories, gauge theories, and conformal field theories. The author combines the mathematical foundations with physical applications in the chapters. Examples, exercises, and intermediate questions help readers to check their understanding.

Full Product Details

Author:   Andreas Wipf
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
ISBN:  

9783662726747


ISBN 10:   3662726742
Publication Date:   14 March 2026
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   Forthcoming
Availability:   Not yet available   Availability explained
This item is yet to be released. You can pre-order this item and we will dispatch it to you upon its release.

Table of Contents

Preface.- Abbreviations.- Introduction.- Elements of Group Theory.- Homomorphisms, Subgroups, and Classes.- Finite Groups.- Space-Time Symmetries.- Point Groups.- Space Groups and Crystals.- Lie Groups.- Invariant Integration.- Representations of Groups.- Characters and Schur's Lemma.- Irreducible Representations of Lie Groups.- Theory of Lie Algebras.- Lie Algebras of Lie Groups.- Root Systems and Cartan Classification.- Representations of Lie Algebras.- Symmetries in Quantum Mechanics.- Symmetries in Relativistic QM.- Relativistic Field Theories.- Gauge Theories.- Conformal Field Theories.- Index.

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Author Information

Andreas Wipf conducted research at the Dublin Institute for Advanced Studies, Los Alamos National Laboratory, Max Planck Institute for Physics, and ETH Zurich. Since 1995, he has been a professor of quantum theory at Friedrich Schiller University in Jena. His main areas of work are quantum field theory, symmetries and symmetry breaking, supersymmetry, and lattice field theories.

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