Many-body Physics II

(Spring 2018)

1. •Lectures: Class P201; Sat. & Mon., 15:30-17:00
   

2. •Tutorials: Class P201; Wed. 10:00-12:00
   

Lecturer: Ali G. Moghaddam & Saeed Abedinpour   

Course's syllabus:

1. •External potential & Feynman diagrams
   

2. •Impurity scatterings & conductivity (diagramatics, self-averaging, Kubo formula, weak localization corrections)
   

3. •Pairwise interactions & Feynman diagrams
   

4. •Interacting electron gas (RPA, self-energies, Gell-mann & Brueckner calculation of correlation energy
   

5. •Screening & dielectric function (plasmons, Landau damping)
   

6. •Fermi liquid theory (semiclassical transport eqs., quasiparticle life-time, mass renormalization, etc.)
   

7. •One-dimensional systems and Luttinger liquids (bosonization, spin-models, etc.)
   

References:

1. •Many-Body Quantum Theory in Condensed Matter Physics, Henrik Bruus & Karsten Flensberg
   

          (Oxford university press, 2004) [main textbook]

1. •Introduction to Many-body Physics, Piers Coleman (Cambridge University Press, 2015)
   

2. •Many-Particle Physics, Gerald D. Mahan, (3rd edition, Kluwer Academics, 2000)
   

Homework Assignments:

         Any problem set should be retuned back with your solutions after two weeks.

Exams (course II):

1. •Midterm exam: 21 Ordibehesht 1397
   

2. •Final exam: 11 Tir 1397
   

Course's Evaluation: 

Final grades will be based on: homework assignments (30%) + midterm exam (30%) + final exam (40%)

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Many-body Physics I

(Winter 2013)

1. •Lectures: Class P101; Sat. & Mon., 9:30-11:00
   

2. •Tutorials: Class P003; Wed. 10:00-12:00
   

Lecturer: Ali G. Moghaddam

   

Course's syllabus:

1. •Introduction: second quantization, solid state physics overview (band structure, Fermi gas, etc.)
   

2. •Mean-field theory (Hartree-Fock (HF) approximation, failure of perturbation beyond 2nd order)
   

3. •Time dependence and different representations (Heisenberg, Schrodinger, and interaction pictures)
   

4. •Linear response theory (quantum version of fluctuation-dissipation theorem, conductance vs. current operators)
   

5. •Green's functions (Imaginary-time Green's functions, Lehmann representation, Matsubara techniques)
   

6. •Equation of motions (time-dependent HF, hierarchical relations)
   

References:

1. •Many-Body Quantum Theory in Condensed Matter Physics, Henrik Bruus & Karsten Flensberg
   

          (Oxford university press, 2004) [main textbook]

1. •Introduction to Many-body Physics, Piers Coleman (lecture notes, now updated as book)
   

2. •Many-Particle Physics, Gerald D. Mahan, (3rd edition, Kluwer Academics, 2000)
   

Homework Assignments:

         Any problem set should be retuned back with your solutions after two weeks.

Exams (course II):

1. •Midterm exam: 11 Bahman 1391
   

2. •Final exam: 19 Esfand 1391
   

Course's Evaluation: 

Final grades will be based on: homework assignments (30%) + midterm exam (30%) + final exam (40%)

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