Symmetries in Physics

Group Theory Applied to Physical Problems

AvWolfgang Ludwig,Claus Falter

Häftad, Engelska, 1996

Del 64 i serien Springer Series in Solid-State Sciences

541 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt över 249 kr.

Beskrivning

Symmetries in Physics presents the fundamental theories of symmetry, together with many examples of applications taken from several different branches of physics. Emphasis is placed on the theory of group representations and on the powerful method of projection operators. The excercises are intended to stimulate readers to apply the techniques demonstrated in the text.

Produktinformation

Utgivningsdatum:1996-01-15
Mått:230 x 300 x 6 mm
Vikt:295 g
Format:Häftad
Språk:Engelska
Serie:Springer Series in Solid-State Sciences
Antal sidor:473
Upplaga:2
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540602842

Utforska kategorier

Innehållsförteckning

1. Introduction.- 2. Elements of the Theory of Finite Groups.- 2.1 Symmetry and Group Concepts: A Basic Example.- 2.2 General Theorems on Group Theory.- 2.3 Conjugacy Classes.- 3. Discrete Symmetry Groups.- 3.1 Point Groups.- 3.2 Colour Groups and Magnetic Groups.- 3.3 Double Groups.- 3.4 Lattices, the Translation Group and Space Group.- 3.5 Permutation Groups.- 3.6 Other Finite Groups.- 4. Representations of Finite Groups.- 4.1 Linear Spaces and Operators.- 4.2 Introduction to the Theory of Representations.- 4.3 Group Algebra.- 4.4 Direct Products.- 5. Irreducible Representations of Special Groups.- 5.1 Point and Double Point Groups.- 5.2 Magnetic Point Groups. Time Reversal.- 5.3 Translation Groups.- 5.4 Permutation Groups.- 5.5 Tensor Representations.- 6. Tensor Operators and Expectation Values.- 6.1 Tensors and Spinors.- 6.2 The Wigner-Eckart Theorem.- 6.3 Eigenvalue Problems.- 6.4 Perturbation Calculus.- 7. Molecular Spectra.- 7.1 Molecular Vibrations.- 7.2 Electron Functions and Spectra.- 7.3 Many-Electron Problems.- 8. Selection Rules and Matrix Elements.- 8.1 Selection Rules of Tensor Operators.- 8.2 The Jahn-Teller Theorem.- 8.3 Radiative Transitions.- 8.4 Crystal Field Theory.- 8.5 Independent Components of Material Tensors.- 9. Representations of Space Groups.- 9.1 Representations of Normal Space Groups.- 9.2 Allowable Irreducible Representations of the Little Group Gk.- 9.3 Projection Operators and Basis Functions.- 9.4 Representations of Magnetic Space Groups.- 10. Excitation Spectra and Selection Rules in Crystals.- 10.1 Spectra — Some General Statements.- 10.2 Lattice Vibrations.- 10.3 Electron Energy Bands.- 10.4 Selection Rules for Interactions in Crystals.- 11. Lie Groups and Lie Algebras.- 11.1 General Foundations.- 11.2 Unitary Representations ofLie Groups.- 11.3 Clebsch-Gordan Coefficients and the Wigner-Eckart.- Theorem.- 11.4 The Cartan-Weyl Basis for Semisimple Lie Algebras.- 12. Representations by Young Diagrams. The Method of Irreducible Tensors.- 13. Applications of the Theory of Continuous Groups.- 13.1 Elementary Particle Spectra.- 13.2 Atomic Spectra.- 13.3 Nuclear Spectra.- 13.4 Dynamical Symmetries of Classical Systems.- 14. Internal Symmetries and Gauge Theories.- 14.1 Internal Symmetries of Fields.- 14.2 Gauge Transformations of the First Kind.- 14.3 Gauge Transformations of the Second Kind.- 14.4 Gauge Theories with Spontaneously Broken Symmetry.- 14.5 Non-Abelian Gauge Theories and Symmetry Breaking.- Appendices.- A. Character Tables.- B. Representations of Generators.- C. Standard Young-Yamanouchi Representations of the Permutation Groups P3 - P5.- D. Continuous Groups.- E. Stars of k and Symmetry of Special k-Vectors.- F. Noether’s Theorem.- G. Space-Time Symmetry.- H. Goldstone’s Theorem.- I. Remarks on 5-fold Symmetry.- J. Supersymmetry.- K. List of Symbols and Abbreviations.- References.- Additional Reading.

Mer från samma författare

Bergey's Manual of Systematic Bacteriology

William B. Whitman, Karl-Heinz Schleifer, Fred A. Rainey, Wolfgang Ludwig, Noel R. Krieg, Dorothy Jones, George Garrity, Paul Vos

E-bok

2011

8 116 kr

Bergey's Manual of Systematic Bacteriology

Daniel Brown, Naomi Ward, James T. Staley, Bruce J. Paster, Brian P. Hedlund, William B. Whitman, Wolfgang Ludwig, Noel R. Krieg

E-bok

2011

5 354 kr

Bergey's Manual of Systematic Bacteriology

Paul Vos, George Garrity, Dorothy Jones, Noel R. Krieg, Wolfgang Ludwig, Fred A. Rainey, Karl-Heinz Schleifer, William B. Whitman

6 932 kr

Bergey's Manual of Systematic Bacteriology

Noel R. Krieg, Wolfgang Ludwig, William B. Whitman, Brian P. Hedlund, Bruce J. Paster, James T. Staley, Naomi Ward, Daniel Brown

Inbunden, 2010

4 185 kr

Bergey's Manual of Systematic Bacteriology

William B. Whitman, Michael Goodfellow, Peter Kämpfer, Hans-Jürgen Busse, Martha E. Trujillo, Wolfgang Ludwig, Ken-ichiro Suzuki

4 546 kr

Bergey's Manual of Systematic Bacteriology

Noel R. Krieg, Wolfgang Ludwig, William B. Whitman, Brian P. Hedlund, Bruce J. Paster, James T. Staley, Naomi Ward, Daniel Brown

Häftad, 2010

4 404 kr

Bergey's Manual of Systematic Bacteriology

Paul Vos, George Garrity, Dorothy Jones, Noel R. Krieg, Wolfgang Ludwig, Fred A. Rainey, Karl-Heinz Schleifer, William B. Whitman

7 139 kr

Bergey's Manual of Systematic Bacteriology

William B. Whitman, Michael Goodfellow, Peter Kämpfer, Hans-Jürgen Busse, Martha E. Trujillo, Wolfgang Ludwig, Ken-ichiro Suzuki

4 546 kr

Del 4

Diversion

Wolfgang Ludwig

Inbunden, 1988

1 465 kr

Diversion

Wolfgang Ludwig

E-bok

2012

1 344 kr

Mer från samma serie

Point-Contact Spectroscopy

Yu.G. Naidyuk, I.K. Yanson

Inbunden, 2004

1 204 kr

Del 145

Point-Contact Spectroscopy

Yu.G. Naidyuk, I.K. Yanson

Häftad, 2011

1 075 kr

Del 193

Strong Fermion Interactions in Fractional Quantum Hall States

Shashikant Mulay, John J. Quinn, Mark Shattuck

Inbunden, 2018

1 288 kr

Del 191

Out-of-Equilibrium Physics of Correlated Electron Systems

Roberta Citro, Ferdinando Mancini

Häftad, 2018

1 182 kr

Del 192

Topology in Magnetism

Jiadong Zang, Vincent Cros, Axel Hoffmann

Häftad, 2019

2 142 kr

Topological Matter

Dario Bercioux, Jérôme Cayssol, Maia G. Vergniory, M. Reyes Calvo

Häftad, 2019

1 235 kr

Del 189

Role of Topology in Materials

Sanju Gupta, Avadh Saxena

Häftad, 2019

1 181 kr

Del 193

Strong Fermion Interactions in Fractional Quantum Hall States

Shashikant Mulay, John J. Quinn, Mark Shattuck

Häftad, 2019

1 075 kr

Del 194

Semiconductor Nanophotonics

Michael Kneissl, Andreas Knorr, Stephan Reitzenstein, Axel Hoffmann

Inbunden, 2020

1 822 kr

Del 194

Semiconductor Nanophotonics

Michael Kneissl, Andreas Knorr, Stephan Reitzenstein, Axel Hoffmann

Häftad, 2021

1 822 kr

Du kanske också är intresserad av