Mike Guidry (Knoxville University of Tennessee), Yang Sun (China Shanghai Jiao Tong University)
Symmetry, Broken Symmetry, and Topology in Modern Physics
A First Course
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Mike Guidry (Knoxville University of Tennessee), Yang Sun (China Shanghai Jiao Tong University)
Symmetry, Broken Symmetry, and Topology in Modern Physics
A First Course
- Gebundenes Buch
Aimed at instructors and graduate students, this book provides a detailed introduction to the modern applications of groups, algebras, and topology in physics. Adopting an example-based approach, it contains worked examples throughout and over 300 problems of varying complexity. Separate instructor and student solutions manuals are available.
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Aimed at instructors and graduate students, this book provides a detailed introduction to the modern applications of groups, algebras, and topology in physics. Adopting an example-based approach, it contains worked examples throughout and over 300 problems of varying complexity. Separate instructor and student solutions manuals are available.
Produktdetails
- Produktdetails
- Verlag: Cambridge University Press
- Seitenzahl: 664
- Erscheinungstermin: 31. März 2022
- Englisch
- Abmessung: 251mm x 195mm x 36mm
- Gewicht: 1562g
- ISBN-13: 9781316518618
- ISBN-10: 1316518612
- Artikelnr.: 62818910
- Verlag: Cambridge University Press
- Seitenzahl: 664
- Erscheinungstermin: 31. März 2022
- Englisch
- Abmessung: 251mm x 195mm x 36mm
- Gewicht: 1562g
- ISBN-13: 9781316518618
- ISBN-10: 1316518612
- Artikelnr.: 62818910
Mike Guidry is Professor in Physics and Astronomy at the University of Tennessee. He is the author of more than 125 journal articles and six published textbooks. He has been the Lead Educational Technology Developer for several major college textbooks in introductory physics, astronomy, biology, genetics, and microbiology. During his career, he has won multiple teaching awards and has taken the lead in a variety of science outreach initiatives.
Preface
Part I. Symmetry Groups and Algebras: 1. Introduction
2. Some properties of groups
3. Introduction to lie groups
4. Permutation groups
5. Electrons on periodic lattices
6. The rotation group
7. Classification of lie algebras
8. Unitary and special unitary groups
9. SU(3) flavor symmetry
10. Harmonic oscillators and SU(3)
11. SU(3) matrix elements
12. Introduction to non-compact groups
13. The Lorentz group
14. Lorentz covariant fields
15. Poincaré invariance
16. Gauge invariance
Part II. Broken Symmetry: 17. Spontaneous symmetry breaking
18. The Higgs mechanism
19. The standard model
20. Dynamical symmetry
21. Generalized coherent states
22. Restoring symmetry by projection
23. Quantum phase transitions
Part III. Topology and Geometry: 24. Topology, manifolds, and metrics
25. Topological solitons
26. Geometry and gauge theories
27. Geometrical phases
28. Topology of the quantum Hall effect
29. Topological matter
Part IV. A Variety of Physical Applications: 30. Angular momentum recoupling
31. Nuclear fermion dynamical symmetry
32. Superconductivity and superfluidity
33. Current algebra
34. Grand unified theories
Appendix A. Second quantization
Appendix B. Natural units
Appendix C. Angular momentum tables
Appendix D. Lie algebras
References
Index.
Part I. Symmetry Groups and Algebras: 1. Introduction
2. Some properties of groups
3. Introduction to lie groups
4. Permutation groups
5. Electrons on periodic lattices
6. The rotation group
7. Classification of lie algebras
8. Unitary and special unitary groups
9. SU(3) flavor symmetry
10. Harmonic oscillators and SU(3)
11. SU(3) matrix elements
12. Introduction to non-compact groups
13. The Lorentz group
14. Lorentz covariant fields
15. Poincaré invariance
16. Gauge invariance
Part II. Broken Symmetry: 17. Spontaneous symmetry breaking
18. The Higgs mechanism
19. The standard model
20. Dynamical symmetry
21. Generalized coherent states
22. Restoring symmetry by projection
23. Quantum phase transitions
Part III. Topology and Geometry: 24. Topology, manifolds, and metrics
25. Topological solitons
26. Geometry and gauge theories
27. Geometrical phases
28. Topology of the quantum Hall effect
29. Topological matter
Part IV. A Variety of Physical Applications: 30. Angular momentum recoupling
31. Nuclear fermion dynamical symmetry
32. Superconductivity and superfluidity
33. Current algebra
34. Grand unified theories
Appendix A. Second quantization
Appendix B. Natural units
Appendix C. Angular momentum tables
Appendix D. Lie algebras
References
Index.
Preface
Part I. Symmetry Groups and Algebras: 1. Introduction
2. Some properties of groups
3. Introduction to lie groups
4. Permutation groups
5. Electrons on periodic lattices
6. The rotation group
7. Classification of lie algebras
8. Unitary and special unitary groups
9. SU(3) flavor symmetry
10. Harmonic oscillators and SU(3)
11. SU(3) matrix elements
12. Introduction to non-compact groups
13. The Lorentz group
14. Lorentz covariant fields
15. Poincaré invariance
16. Gauge invariance
Part II. Broken Symmetry: 17. Spontaneous symmetry breaking
18. The Higgs mechanism
19. The standard model
20. Dynamical symmetry
21. Generalized coherent states
22. Restoring symmetry by projection
23. Quantum phase transitions
Part III. Topology and Geometry: 24. Topology, manifolds, and metrics
25. Topological solitons
26. Geometry and gauge theories
27. Geometrical phases
28. Topology of the quantum Hall effect
29. Topological matter
Part IV. A Variety of Physical Applications: 30. Angular momentum recoupling
31. Nuclear fermion dynamical symmetry
32. Superconductivity and superfluidity
33. Current algebra
34. Grand unified theories
Appendix A. Second quantization
Appendix B. Natural units
Appendix C. Angular momentum tables
Appendix D. Lie algebras
References
Index.
Part I. Symmetry Groups and Algebras: 1. Introduction
2. Some properties of groups
3. Introduction to lie groups
4. Permutation groups
5. Electrons on periodic lattices
6. The rotation group
7. Classification of lie algebras
8. Unitary and special unitary groups
9. SU(3) flavor symmetry
10. Harmonic oscillators and SU(3)
11. SU(3) matrix elements
12. Introduction to non-compact groups
13. The Lorentz group
14. Lorentz covariant fields
15. Poincaré invariance
16. Gauge invariance
Part II. Broken Symmetry: 17. Spontaneous symmetry breaking
18. The Higgs mechanism
19. The standard model
20. Dynamical symmetry
21. Generalized coherent states
22. Restoring symmetry by projection
23. Quantum phase transitions
Part III. Topology and Geometry: 24. Topology, manifolds, and metrics
25. Topological solitons
26. Geometry and gauge theories
27. Geometrical phases
28. Topology of the quantum Hall effect
29. Topological matter
Part IV. A Variety of Physical Applications: 30. Angular momentum recoupling
31. Nuclear fermion dynamical symmetry
32. Superconductivity and superfluidity
33. Current algebra
34. Grand unified theories
Appendix A. Second quantization
Appendix B. Natural units
Appendix C. Angular momentum tables
Appendix D. Lie algebras
References
Index.