(MW 9:30am -10:50pm, Mayer Hall A 2623) Course Syllabus pdf file

Lecture notes


Elements of Bethe Ansatz

Lecture 1 (scanned), (typed) : 2 magons, Bethe Ansatz equation, string states (bound states)

Lecture 2 : Many-magon states, factorization of scattering amplitude

Lecture 3 : Spin-1/2 antiferromagnetic spin chain, ground state energy, and spinon excitations

Lecture 4 : 1D boson with delta interaction - Lieb -Liniger

Lecture 5 : 1D fermion with delta interaction - Yang-Baxter

Lecture 6 : Quantum Inverse method -- Fadeev

Lecture 7 : Nested Bethe Ansatz

Lecture 8 : Hubbard model at infinite U -- Ogata-Shiba

Lecture 9 : Hubbard model at half filling -- Lieb-Wu


Elements of Conformal Field Theory

Lecture 1 : Conformal invarance

Lecture 2 : Correlation functions

Lecture 3 : Nother Theorem

Lecture 4 : Conformal Ward Identities, central charge

Lecture 5 : Free boson (I) -- fundamental

Lecture 6 : Free boson (II) OPE

Lecture 7 : Primary fieds

Lecture 8 : Free fermions

howework assignment
HW1: TBA.

HW2: TBA.

HW 3: TBA.

Mid Term TBA

Final Exam TBA,

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Last modified: Jan 7, 2010.