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Group theory in a nutshell for physicists /
| 主要作者: | |
|---|---|
| 格式: | Printed Book |
| 出版: |
Princeton:
Princeton University Press,
2016.
|
| 叢編: | In a nutshell
|
| 主題: | |
| 在線閱讀: | http://www.loc.gov/catdir/enhancements/fy1603/2015037408-d.html https://www.loc.gov/catdir/enhancements/fy1611/2015037408-b.html |
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| 999 | |c 158736 |d 158732 | ||
| 020 | |a 9780691162690 | ||
| 082 | 0 | 0 | |a 512.2 |b Q6 |
| 100 | 1 | |a Zee, A. |9 159167 | |
| 245 | 1 | 0 | |a Group theory in a nutshell for physicists / |c A. Zee. |
| 260 | |a Princeton: |b Princeton University Press, |c 2016. | ||
| 300 | |a 613 p. | ||
| 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. |9 159179 | |
| 856 | 4 | 2 | |u http://www.loc.gov/catdir/enhancements/fy1603/2015037408-d.html |
| 856 | 4 | 2 | |u https://www.loc.gov/catdir/enhancements/fy1611/2015037408-b.html |
| 942 | |c BK | ||
| 952 | |0 0 |1 0 |4 0 |6 512_200000000000000_Q6 |7 0 |9 157193 |a MGUL |b MGUL |c GEN |d 2018-06-20 |e Cosmo Books |g 6147.00 |l 0 |o 512.2 Q6 |p 59962 |r 2018-06-20 |w 2018-06-20 |y BK | ||