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Group theory in a nutshell for physicists

Group theory in a nutshell for physicists (Loan 5 times)

Material type
단행본
Personal Author
Zee, A.
Title Statement
Group theory in a nutshell for physicists / A. Zee.
Publication, Distribution, etc
Princeton, New Jersey :   Princeton University Press,   c2016.  
Physical Medium
xviii, 613 p. : ill. ; 26 cm.
Series Statement
In a nutshell
ISBN
9780691162690 (hardcover : alk. paper) 0691162697 (hardcover : alk. paper)
Content Notes
Review of linear algebra -- Symmetry and groups -- Finite groups -- Rotation and the notion of Lie algebra -- Representation theory -- Schur's lemma and the great orthogonality theorem -- Character is a function of class -- Real, pseudoreal, complex, and the number of square roots -- Crystals -- Euler, Fermat, and Wilson -- Frobenius groups -- Quantum mechanics and group theory: degeneracy -- Group theory and harmonic motion -- Symmetry in the laws of physics: Lagrangian and Hamiltonian -- Tensors and representations of the rotation groups SO(N) -- Lie algebra of SO(3) and ladder operators: creation and annihilation -- Angular momentum and Clebsch-Gordan decomposition -- Tensors and representations of the unitary groups SU(N) -- SU(2): double covering and the spinor -- The electron spin and Kramer's degeneracy -- Integration over continuous groups, topology, and coset manifolds -- Symplectic groups and their algebras -- From Lagrangian mechanics to quantum field theory: it's but a skip and a hop -- Multiplying irreducible representations of finite groups: return to the tetrahedral group -- Crystal field splitting -- Group theory and special functions -- Covering the tetrahedron -- Isospin and and the discovery of a vast internal space -- The Eightfold Way of SU(3) -- The Lie algebra of SU(3) and its root vectors -- Group theory guides us into the microscopic world -- The poor man finds his roots -- Roots and weights for orthogonal, unitary, and symplectic algebras -- Lie algebras in general -- Killing-Cartan classification -- Dynkin diagrams -- SO(2N) and its spinors -- Galileo, Lorentz, and Poincaré -- SL(2,C) double covers SO(3,1): group theory leads us to the Weyl equation -- From the Weyl equation to the Dirac equation -- Dirac and Majorana spinors: antimatter and pseudoreality -- The hydrogen atom and SO(4) -- The unexpected emergence of the Dirac equation in condensed matter physics -- The even more unexpected emergence of the Majorana equation in condensed matter physics -- Contraction and extension -- Conformal algebra -- The expanding universe and group theory -- The gauged universe -- Grand unification and SU(5) -- From SU(5) to SO(10) -- The family mystery.
Bibliography, Etc. Note
Includes bibliographical references and index.
Subject Added Entry-Topical Term
Group theory.
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001 000045947362
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008 180712s2016 njua b 001 0 eng d
010 ▼a 2015037408
020 ▼a 9780691162690 (hardcover : alk. paper)
020 ▼a 0691162697 (hardcover : alk. paper)
035 ▼a (KERIS)REF000017994659
040 ▼a OU/DLC ▼b eng ▼c OU ▼e rda ▼d DLC ▼d 211009
050 0 0 ▼a QC20.7.G76 ▼b Z44 2016
082 0 0 ▼a 512/.2 ▼2 23
084 ▼a 512.2 ▼2 DDCK
090 ▼a 512.2 ▼b Z43g
100 1 ▼a Zee, A.
245 1 0 ▼a Group theory in a nutshell for physicists / ▼c A. Zee.
260 ▼a Princeton, New Jersey : ▼b Princeton University Press, ▼c c2016.
300 ▼a xviii, 613 p. : ▼b ill. ; ▼c 26 cm.
490 1 ▼a In a nutshell
504 ▼a Includes bibliographical references and index.
505 0 ▼a Review of linear algebra -- Symmetry and groups -- Finite groups -- Rotation and the notion of Lie algebra -- Representation theory -- Schur's lemma and the great orthogonality theorem -- Character is a function of class -- Real, pseudoreal, complex, and the number of square roots -- Crystals -- Euler, Fermat, and Wilson -- Frobenius groups -- Quantum mechanics and group theory: degeneracy -- Group theory and harmonic motion -- Symmetry in the laws of physics: Lagrangian and Hamiltonian -- Tensors and representations of the rotation groups SO(N) -- Lie algebra of SO(3) and ladder operators: creation and annihilation -- Angular momentum and Clebsch-Gordan decomposition -- Tensors and representations of the unitary groups SU(N) -- SU(2): double covering and the spinor -- The electron spin and Kramer's degeneracy -- Integration over continuous groups, topology, and coset manifolds -- Symplectic groups and their algebras -- From Lagrangian mechanics to quantum field theory: it's but a skip and a hop -- Multiplying irreducible representations of finite groups: return to the tetrahedral group -- Crystal field splitting -- Group theory and special functions -- Covering the tetrahedron -- Isospin and and the discovery of a vast internal space -- The Eightfold Way of SU(3) -- The Lie algebra of SU(3) and its root vectors -- Group theory guides us into the microscopic world -- The poor man finds his roots -- Roots and weights for orthogonal, unitary, and symplectic algebras -- Lie algebras in general -- Killing-Cartan classification -- Dynkin diagrams -- SO(2N) and its spinors -- Galileo, Lorentz, and Poincaré -- SL(2,C) double covers SO(3,1): group theory leads us to the Weyl equation -- From the Weyl equation to the Dirac equation -- Dirac and Majorana spinors: antimatter and pseudoreality -- The hydrogen atom and SO(4) -- The unexpected emergence of the Dirac equation in condensed matter physics -- The even more unexpected emergence of the Majorana equation in condensed matter physics -- Contraction and extension -- Conformal algebra -- The expanding universe and group theory -- The gauged universe -- Grand unification and SU(5) -- From SU(5) to SO(10) -- The family mystery.
650 0 ▼a Group theory.
830 0 ▼a In a nutshell (Princeton, N.J.).
945 ▼a KLPA

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Science & Engineering Library/Sci-Info(Stacks2)/ Call Number 512.2 Z43g Accession No. 121245248 Availability Available Due Date Make a Reservation Service B M

Contents information

Table of Contents

A brief review of linear algebra -- Symmetry and groups -- Finite groups -- Rotations and the notion of Lie algebra -- Representation theory -- Schur''s lemma and the great orthogonality theorem -- Character is a function of class -- Real, pseudoreal, complex representations, and the number of square roots -- Crystals are beautiful -- Euler''s [phi]-function, Fermat''s little theorem, and Wilson''s theorem -- Frobenius groups -- Quantum mechanics and group theory : parity, Bloch''s theorem, and the Brillouin zone -- Group theory and harmonic motion : zero modes -- Symmetry in the laws of physics : Lagrangian and Hamiltonian -- Tensors and representations of the rotation groups SO(N) -- Lie algebra of SO(3) and ladder operators : creation and annihilation -- Angular momentum and Clebsch-Gordan decomposition -- Tensors and representations of the special unitary groups SU(N) -- SU(2) : double covering and the spinor -- The electron spin and Kramer''s degeneracy --^ Integration over continuous groups, topology, and coset manifold, and SO(4) -- Symplectic groups and their algebras -- From the Lagrangian to quantum field theory : it is but a skip and a hop -- Multiplying irreducible representations of finite groups : return to the tetrahedral group -- Crystal field splitting -- Group theory and special functions -- Covering the tetrahedron -- Isospin and and the discovery of a vast internal space -- The Eightfold Way of SU(3) -- The Lie algebra of SU(3) and its root vectors -- Group theory guides us into the microscopic world -- The poor man finds his roots -- Roots and weights for orthogonal, unitary, and symplectic algebras -- Lie algebras in general -- The Killing-Cartan classification of lie algebras -- Dynkin diagrams -- Spinor representations of orthogonal algebras -- The Lorentz group and relativistic physics -- SL(2,C) double covers SO(3,1) : group theory leads us to the Weyl equation -- From the Weyl equation to the Dirac equation --^ Dirac and Majorana spinors : antimatter and pseudoreality -- A hidden SO(4) algebra in the hydrogen atom -- The unexpected emergence of the Dirac equation in condensed matter physics -- The even more unexpected emergence of the Majorana equation in condensed matter physics -- Contraction and extension -- The conformal algebra -- The expanding universe from group theory -- The gauged universe -- Grand unification and SU(5) -- From SU(5) to SO(10) -- The family mystery.

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