Below is a summary of the topics coverered in the lecture 
sections.

Date		Topics
___________________________________________________________

1/7		Orientation. Symmetry of Condensed Phases

1/9		More on symmetry of condensed phases. Crystals.
		Bravais lattice, primitive translations, basis.
		Crystal systems in two dimensions. 
		
1/11		Crystal systems in 2D (completed), packing fractions.
		Crytal systems in 3D.
		
1/14		Crystal systems in 3D (completed). Miller
		indices for crystal planes. Bragg formulation of 
		scattering problem. 			

1/16		Laue formulation of scattering problem. Reciprocal
		lattices. Reciprocal lattices in 2 and 3 dimensions.
	
1/18		Reciprocal lattices in 3D. Constraints from energy
		conservation. Solutions using powders, rotating
		crystals. Scattering of low energy and high energy
		electron beam. Form factor (introduction.)
		
1/23		Form factor. Calculation of form factor for solid sphere.
		Structure factor. Structure factor for 2D rectangular lattice
		with a basis. Forbidden reflections for centered rectangular
		lattice.
		
1/25		Cohesion in Solids. Van der Waals interaction.

1/28		More on Cohesion. Ionic, Covalent and Metallic Bonding.

1/30		Lattice Vibrations. Solution of the one dimensional nearest
		neighbor chain. Boundary conditions and mode counting.
		
2/1		More on the one dimensional chain. Phonons and sound velocity
		in Na. Math for solving the diatomic linear chain. 
		
2/4		Diatomic linear chain (completed). Method of long waves
		in one dimension. 
		
2/6		Method of long waves in three dimensions. Strain tensors
		and elastic moduli. Symmetry constrains on elastic moduli.
		
		
2/8 		Applications of elastic theory in three dimensions. Elastic
		moduli for cubic systems. Sound in cubic crystal for propagation
		along (100) direction. Bulk modulus and Poisson ratio. 
		
2/11		Thermal properties of solids. Law of Dulong and Petit. Review
		of statistical properties of quantum oscillator. Partition
		function, thermal energy. Equipartition as the high temperature
		limit of the quantum oscillator. Thermal energy in
		the low temperature limit. 
		
2/13		More on heat capacities of solids. Low temperature
		and high temperature expansions. Densities of states in
		one- and three- dimensions. Debye model for phonon
		spectrum. Einstein model for optical modes. 

2/15		Thermal flucuations and translational order in crystals.
		Mean square displacement for three dimensional acoustic
		modes. Quantum and thermal lattice fluctuations. 
		
		
2/18		More on thermal fluctuations. Effect on intensities of
		X-ray reflections. Debye Waller factor. Why 3D crystals
		diffract and 1D crystals can't.
		
2/20		Midterm Examination

2/22		Electronic properties. Drude model. Static conductivity
		and scattering time in the Drude model. Conductivity
		at finite frequency. Resistive and Reactive response
		of the electron gas. Physics for omega*tau >> 1. Drude
		dielectric function. 
		
		
2/25		More on Drude model. Plasma edge in reflectivity. Plasma
		frequencies for some representative metals. Failures of
		Drude theory: heat capacity, thermal conductivity and
		the Lorenz number.
		
2/27		More on failures of Drude model: anomalous sign of Hall
		coefficient. Introduction to quantum model. Energy scales
		for kinetic and electrostatic energies. Kinetic energy
		dominates at high density. Solution of Schroedinger equation
		for free particles inside a macroscopic box. Periodic boundary
		conditions and quantization of k. Aufbau rules from Pauli
		principle. Fermi momentum and Fermi energy. Density of 
		states for three dimensional electron gas. Compact formulation
		of density of states for degenerate electron gas. 
		
3/1		More on the Sommerfeld model. Fermi wavevector and density of
		states in one dimension (two dimensional case as homework). Ground
		state properties of the high density electron gas. Zero point
		energy. Pressure from degenerate Fermi gas. Estimate of pressure
		at metallic densities. Estimate density of matter by balancing
		electrostatic pressure (inward) against Pauli pressure (outward).
		Degenerate electron gas at nonzero temperature. Grand partition
		function. Fermi occupation factors at kT << E_F.
		
3/4		Sommerfeld expansion. Properties of energy derivative of Fermi function.
		Calculating observables as a series in (kT/E_F). Practice problem:
		calculate . Temperature dependence of the chemical potential. 
		
3/6		More on Sommerfeld expansion. Calculation of U(T) to order (kT/E_F)^2. 
		Why there is no linear (kT) term in the energy. Specific heat of the
		electron gas. Comparing electronic and vibrational specific heats.
		Sommerfeld plot of C/T vs T^2 to separate lattice and electronic
		contributions. Comparison of calculated and observed Sommerfeld constants. 				
	
	
3/8		More on specific heat of the electron gas. Comparison of 	
		phonon and electronic contribution to specific heat. Effects
		of dimensionality on phonon and electron specific heats.
		Discussion of T-linear specific heat for BOTH phonons	
		and electrons in one dimension. 
		
			
3/20		Magnetism in matter. Atomic paramagnetism and diamagnetism. Size
		of Bohr magneton. Semiclassical discussion of atomic diamagnetism.
		High spin states in partially filled atomic orbitals. Calculations
		of energy and induced magnetization for a lattice of localized spins:
		Curie paramagnetism.
		
		 				
3/22		More on Curie paramagnetism. The Curie susceptibility is inversely proportional
		to absolute temperature. The density of measured Curie spins in a real sample
		is orders of magnitude smaller than the density of electrons. Paramagnetic
		response of a free electron metal. The Pauli susceptibility. Comparison of
		Curie and Pauli paramagnetic response. Diamagnetic response of the electron gas.
		Discussion in two dimensions: Fermi sea and equation of motion for particle momenta. 
		The allowed orbits (in real space) enclose an integral number of flux quanta (hc/e). 		
	
3/25		More on orbital diamagnetism of the degenerate electron gas. Quantization of
		orbits. Allowed energy spectrum. Degeneracy of orbits. Commensurate fillings.
		Finding the magnetization from the magnetic energy. Sign changes of the orbital
		magnetization for the 2 dimensional electron gas. Effects of boundary orbits.
		
3/27		Response of the electron gas to a static electric field. Drude (classical result).
		Equilibrium and nonequilibrium phase space distribution functions. Derive an
		equation of motion for the nonequilibrium distribution function. Solution linearized
		in applied E-field. Calculating the induced current density. Tricks for evaluating
		angle - dependent integral at the Fermi surface. Conductivity from the linearized
		solution to the Boltzmann transport equation. 

3/29		Diffusive and ballistic transport. How to make a quantum wire. Independence
		of right moving and left moving carriers in a quantum wire. Current in response
		to a potential difference in the ballistic regime. Energy considerations..
		where the power is dissipated in a ballistic conductor. Compare Drude, Sommerfeld
		and Bloch models of a solid. 
		
4/1		Nearly free electron model. Periodic functions. Bloch functions.
		Solution of Schroedinger equation in one dimensional periodic
		potential. Reduced Brillouin zone. Empty lattice spectrum.
		
4/3		Perturbing the empty lattice spectrum. Nondegenerate
		perturbation theory in the lowest band. Degenerate perturbation
		theory at Brillouine zone boundary. Spectrum and wavefunctions
		at the band extrema.
		
4/5		State counting in the nearly free electron spectrum. Band filling for
		monovalent, divalent and trivalent elements. One dimensional crystals in
		the tight binding limit. Bound levels and tunneling amplitudes. Solution
		of the one dimensional tight binding problem. Mapping free electron
		solutions into tight binding solutions. 
		
4/8		Tight binding electrons on the square lattice. Effective mass near
		the band minima. Crystal field anisotropy. Hole motion for the nearly
		filled band. Equation of motion for Fermi sea for the nearly
		filled tight binding band. 
		
4/10		Nearly filled band: electron and hole descriptions. Boltzman solution
		for conductivity. Properties of systems will partially filled and
		completely filled electronic bands.  Introduction to semiconductors.
		Band structure near the gap for Si and  GaAs. 

4/12		Densities of states near the gap for semiconductors. Computing the
		density of thermally activated carriers. Calculation of chemical
		potential for intrinsic semiconductor. Numerical estimate of carrier 
		density. Substitutional doping of a semiconductor. n- and p- type
		doping. 		

4/15		More on doped semiconductors. Chemical potential vs. temperature for
		n-doped semiconductor. Thermally activated carrier density versus
		temperature. Estimate of density of thermally activated carriers for
		n-GaAs at room temperature. Mobility and conductivity of doped
		semiconductor. Introduction to superconductivity. Critical temperatures
		of some superconducting materials. Attempts to measure resistance
		in the superconducting state. 
		
4/17		More on superconductors: persistent currents, specific heat of
		the superconducting state, superconducting energy gap, measuring
		the superconducting energy gap by tunneling spectroscopy.
		Magnetic properties of normal metals and superconductors. Perfect
		diamagnetism and Meissner effect. Calculation of susceptibility
		and supercurrents for a superconducting cylinder in a magnetic 
		field.
		
		 		 		
4/18		Magnetic properties of superconductors. Mixed phase: Type II
		superconductors. Introduction to the pairing theory. The
		Cooper problem. Solution for pair binding energy in the Cooper
		problem. 
		
4/19		Cooper problem: estimate of the binding energy. BCS (Bardeen
		Cooper Schrieffer) formulation of the pairing problem. Pairing
		in the presence of pairs. Properties of the paired state:
		mass, charge, spin, density and size of pair. The size of
		a BCS pair is much larger than the mean separation.
		
4/19		(BONUS LECTURE). Pair wavefunction and the BCS condensate.
 		meaning of the amplitude and phase of the pair wavefunction.
		Nonlinear Schroedinger equation for the pair field. Coupling
		the pair field to electromagnetic potentials, V and A. Calculation
		of the current density. Derivation of the London equation, 
		connection with Meissner effect. Flux quantization in
		a superconducting ring.