Finite Groups, Method of Characters, Application to Solid State Physics. Permutation Group SN, Young Tableau. Lie Algebras, Classification, Root Spaces. Dynkin Diagrams, Laplacians on Groups, Coherent States on Groups, Motion in Group Space, Nonlinear Models, Integrable Systems. The Fermi-Dirac distribution and the Sommerfeld theory of metals.
Crystal lattices .
The reciprocal lattice. X-ray diffraction from crystals. Electrons in a periodic potential . Bloch s theorum, Brillouin zones, the Fermi surface. Band structure .