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Course Syllabus
pdf file

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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.
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Midterm and Final

Midterm the pdf file .
Solution .

Back to home

Last modified: Jan 7, 2010.

Formalism: path integrals, operators,

Interacting electron gas

Landau Fermi liquid theory

Below to be refined

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 .

Back to home
Last modified: Jan 7, 2010.