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010 _a 2022000139
020 _z9781316518618
_q(hardback)
040 _aDLC
_beng
_cIISERB
_erda
042 _apcc
050 0 0 _aQC20
082 0 0 _a530.15 G94S
_223
084 _aSCI040000
_2bisacsh
100 1 _aGuidry, Mike.
_929848
245 1 0 _aSymmetry, broken symmetry, and topology in modern physics :
_ba first course
_cMike Guidry, Yang Sun.
260 _aCambridge:
_bCambridge University Press,
_c2022.
263 _a2205
300 _axxxii, 632p.
504 _aIncludes bibliographical references and index.
505 0 _aSome 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.
520 _a"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. 344 homework problems are included, with full solutions available to instructors, and a subset of 172 of these problems have full solutions available to students"--
650 0 _aMathematical physics.
_929849
650 0 _aSymmetry groups.
_929850
650 0 _aSymmetry (Physics)
_929851
650 0 _aGroup theory.
_929852
650 0 _aTopology.
_929853
650 7 _aSCIENCE / Physics / Mathematical & Computational
_2bisacsh
_929854
700 1 _aSun, Yang.
_929855
776 0 8 _iPrint version:
_aGuidry, M. W.
_tSymmetry, broken symmetry, and topology in modern physics
_dCambridge ; New York, NY : Cambridge University Press, 2022
_z9781316518618
_w(DLC) 2022000138
906 _a7
_bcbc
_corignew
_d1
_eecip
_f20
_gy-gencatlg
942 _2ddc
_cBK
999 _c10217
_d10217