Exam schedule:
Friday, July 1, 8:15-12:00, room CE103
Exam rules and questions: PostScript, PDF.

Course schedule:
Wednesday 12-13 (exercises), room PH 31
Wednesday 16-18 (lectures), room CE 103

Lecturer: Prof. Dmitri Ivanov
tel: 3-3419, office: PH-H2-497, e-mail: dmitri.ivanov (at) epfl.ch
Assistant: Dr. George Jackeli
tel: 3-4479, office: PH-H2-454, e-mail: george.jackeli (at) epfl.ch

Course program:
1. Path integral in quantum mechanics. Green's functions and perturbation theory. Feynman diagrams.
2. Elements of quantum field theory. Bosonic and fermionic integrals.

Recommended textbooks and notes:
[1] R.P.Feynman and A.R.Hibbs, Quantum Mechanics and Path Integrals
[2] R.MacKenzie, Path Integral Methods and Applications, quant-ph/0004090
[3] V.I.Arnold, Mathematical Methods of Classical Mechanics (Springer Graduate Texts in Mathematics, No 60)
[4] F.Mila, Mecanique quantique avancee, lecture notes
[5] H.Kleinert and A.Chervyakov, Simple explicit formulas for Gaussian Path Integrals with Time-Dependent Frequencies , quant-ph/9803016 (html version -- may be easier to read)
[6] R.Rajaraman, Solitons and Instantons

Problem sets (bi-weekly):

• Problem Set 1: Propagators in quantum mechanics PostScript, PDF.
  Distributed: 09.03.05
• Problem Set 2: Quasiclassical limit. PostScript, PDF.
  Distributed: 23.03.05
• Problem Set 3: Instantons and fluctuation determinants. PostScript, PDF.
  Distributed: 13.04.05
• Problem Set 4: Path integrals in imaginary time. Motion in a magnetic field. PostScript, PDF.
  Distributed: 27.04.05
• Problem Set 5: Landau levels. Spin tunneling by path integral. PostScript, PDF.
  Distributed: 11.05.05
• Problem Set 6: Bosons and fermions. PostScript, PDF.
  Distributed: 01.06.05

• 09.03.05: Path integral formulation of quantum mechanics. Propagators and Green's functions. [1,4]
  
• 16.03.05: Path integrals in the phase space. Perturbation theory. [1,2]
  
• 23.03.05: Quasiclassical limit of the propagator. [4]
  
• 06.04.05: Bohr-Sommerfeld quantization rule in the path-integral formalism. [6]
  
• 13.04.05: Quasiclassical tunneling and instantons. [2,6]
  
• 20.04.05: Fluctuation determinants and Gelfand-Yaglom formula. [4,5]
  
• 27.04.05: Quantum mechanics in a magnetic field. Aharonov-Bohm effect.
  
• 04.05.05: Landau levels. Lowest landau level in a non-uniform magnetic field.
  
• 11.05.05: Path-integral quantization of spin.
  
• 18.05.05: A little bit of mathematics. Crash-course on differential forms.
  
• 01.06.05: From quantum mechanics to quantum field theory. Bosonic and fermionic path integrals.
  
• 08.06.05: Bosonic and fermionic path integrals (continued). Free bosonic and fermionic fields.
  
• 15.06.05: Free bosonic and fermionic fields (continued). Wick theorem.