Author:
Guidry, M. W. (Michael Wayne) author.
ImprintCambridge, United Kingdom ; New York, NY : Cambridge University Press, 2022.
Descriptionxxxii, 632 pages : illustrations ; 26 cm
Note:Some properties of groups -- Introduction to Lie groups -- Permutation groups -- Electrons on periodic lattices -- The rotation group -- Classification of Lie algebras -- Unitary and special unitary groups -- SU(3) flavor symmetry -- Harmonic oscillators and SU(3) -- SU(3) matrix elements -- Introduction to non-compact groups -- The Lorentz group -- Lorentz-covariant fields -- Poincaré invariance -- Gauge invariance -- Spontaneous symmetry breaking -- The Higgs mechanism -- The standard model -- Dynamical symmetry -- Generalized coherent states -- Restoring symmetry by projection -- Quantum phase transitions -- Topology, manifolds, and metrics -- Topological solitons -- Geometry and Gauge theories -- Geometrical phases -- Topology of the quantum Hall effect -- Topological matter -- Angular momentum recoupling -- Nuclear Fermion dynamical symmetry -- Superconductivity and superfluidity -- Current algebra -- Grand unified theories.
Bibliography Note:Includes bibliographical references (pages 609-616) and index.
Note:"Written for use in teaching and for self-study, this book provides a comprehensive and pedagogical introduction to groups, algebras, geometry, and topology. It assimilates modern applications of these concepts, assuming only an advanced undergraduate preparation in physics. It provides a balanced view of group theory, Lie algebras, and topological concepts, while emphasizing a broad range of modern applications such as Lorentz and Poincaré invariance, coherent states, quantum phase transitions, the quantum Hall effect, topological matter, and Chern numbers, among many others. An example-based approach is adopted from the outset, and the book includes worked examples and informational boxes to illustrate and expand on key concepts."-- Provided by publisher.
