Course Syllabus pdf file

Lecture notes
Formalism: path integrals, operators,

Lecture 1 : Path integral for quantum mechanics -- Ref. Nagaosa QFT in CMT chapter 2.1, Wen's book Chapter 2.1

Lecture 2 : Path integral for functional fields -- Ref. Nagaosa QFT in CMT Chapter 2.2, 2.3

Lecture 3 : Path integral for quantum spins and others -- Ref. Nagaosa QFT in CMT Chapter 2.5

Supplementary material : Applications of path integral: double wells, instantons -- Ref. Wen's book Chapter 2.4

Lecture 4 : Linear response theory, Green's functions: time-ordered, retarded, and imaginary time --- Wen's book Chapter 2.2

Interacting electron gas

Lecture 5 : Perturbation theory for fermions -- Wen's book Chapter 5.2, 5.5

Supplementary material : Hartree-Fock theory

Lecture 6 : Jellium model, Lindhard response, screening, plasmon -- Nagaosa QFT in CMT Chapter 4.1, Wen's book Chapter 5.5

Supplementary material : RPA approximation using equation of motions

Landau Fermi liquid theory

Lecture 7 : Landau Fermi liquid Phenomenology (I): Landau parameters and collective excitations

Lecture 8 : Landau Fermi liquid Phenomenology (II): Boltzman equation, zero sound

Lecture 9 : Landau Fermi liquid (III): Microscopic theory: Concenpts of quasiparticles

Lecture 10 : Landau Fermi liquid (IV) -- Microscopic theory: vertex functions.

Lecture 11 : Landau Fermi liquid theory (V) -- Ward Identities and Luttinger theorem.

Lecture 12 : Landau Fermi liquid theory (VI) -- More

Lecture 13 : Electron-Phonon interaction
Below to be refined

Lecture 14 : Superconductivity - BCS-mean field theory

Lecture 15 : Superconductivity - functional field method

Lecture 16-17 : Renormalization group theory for K-T transition

Howework assignment
HW1 pdf Due on May 4 in class. Solution posted on May 8.
HW2 pdf Due on May 4 in class. Solution posted on May 8.
Supplementary HW on Hartree-Fock on Hartree-Fock Solution posted on May 8.
HW3 pdf Due on May 18 in class. Solution posted on May 22.
HW4 pdf Due on Jun 5. Please turn in to me in person. Solution posted on Jun 09.

Midterm and Final

Midterm the pdf file . Solution .

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Last modified: Jan 7, 2010.