Group theory in a nutshell for physi...
Zee, A.

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  • Group theory in a nutshell for physicists /
  • 紀錄類型: 書目-語言資料,印刷品 : Monograph/item
    正題名/作者: Group theory in a nutshell for physicists // A. Zee.
    作者: Zee, A.
    出版者: Princeton, New Jersey :Princeton University Press, : c2016.,
    面頁冊數: xviii, 613 p. :ill. ;26 cm.
    內容註: 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 : zeromodes -- Symmetry in the laws of physics : Lagrangian and Hamiltonian -- Tensors and representations of the rotation groupsSO(N) -- Lie algebra of SO(3) and ladder operators : creation andannihilation -- 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 fieldtheory : 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 emergenceof 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 familymystery.
    標題: Group theory. -
    ISBN: 9780691162690
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W0071999 六樓西文書區HC-Z(6F Western Language Books) 01.外借(書)_YB 一般圖書 QC20.7.G76 Z44 2016 一般使用(Normal) 在架 0
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