| 000 | 00000nam u2200205 a 4500 | |
| 001 | 000045947362 | |
| 005 | 20180712153706 | |
| 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 |
소장정보
| No. | 소장처 | 청구기호 | 등록번호 | 도서상태 | 반납예정일 | 예약 | 서비스 |
|---|---|---|---|---|---|---|---|
| No. 1 | 소장처 과학도서관/Sci-Info(2층서고)/ | 청구기호 512.2 Z43g | 등록번호 121245248 | 도서상태 대출가능 | 반납예정일 | 예약 | 서비스 |
컨텐츠정보
목차
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.
