عنوان

Group theory in a nutshell for physicists

شابک

9780691162690)hardcover :alk. paper(

عنوان اصلي

Group theory in a nutshell for physicists

نام نخستين پديدآور

A. Zee

محل نشرو پخش و غیره

New Jersey

نام ناشر، پخش کننده و غيره

Princeton University Press,

تاریخ نشرو بخش و غیره

]2016[

نام خاص و کميت اثر

pages

عنوان فروست

In a nutshell

عنوان فروست

Series: In a nutshell )Princeton, N.J.(

متن يادداشت

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 Poincarae -- 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.

متن يادداشت

Includes bibliographical references and index.

عنصر شناسه ای

Group theory

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عنصر شناسه اي

Zee, A. author

عنصر شناسه اي

Title

نوع ماده

English Book