Final exam:
January 18, 23, 24, room CE101.
Schedule (PDF file)
Exam rules and topics: PostScript, PDF.

Course schedule:
Thursday 12-14 (lectures), room CE 103
Tuesday 13-15 (exercises), room CE 104

Lecturer: Prof. Dmitri Ivanov
tel: 3-3419, office: PH-H2-497, e-mail: dmitri.ivanov (at) epfl.ch
Assistant: Samuel Bieri
e-mail: samuel.bieri (at) epfl.ch

Course program:
1. Quasiclassical approximation
2. Scattering theory

Recommended textbooks:
L.D.Landau, E.M.Lifshitz, Quantum Mechanics: Non-Relativistic Theory, Vol. 3, Third Edition
G.Baym, Lectures on Quantum Mechanics

Helpful textbook on complex analysis:
P.Henrici, Applied and computational complex analysis.
This three-volume book explains computing integrals by the residue method,
the saddle-point approximation (with the Airy function as an example)
and other helpful info on complex analysis.

Good reading on quasiclassical approximation and analytic continuation method:
M.V.Berry and K.E.Mount, Reports on Progress in Physics, v35(1), p.315 (1972) [link to the PDF file (via EPFL subscription)]

Some references for the course topics: (text file)

Problem sets:

• Problem Set 0: Reviewing basic quantum mechanics. PostScript, PDF.
  Distributed: 20.09.07.
• Problem Set 1: Quasiclassical energy levels. PostScript, PDF.
  Distributed: 27.09.07.
• Problem Set 2: Quasiclassical wave functions. PostScript, PDF.
  Distributed: 04.10.07.
• Problem Set 3: Quasiclassical tunneling. PostScript, PDF.
  Distributed: 11.10.07.
• Problem Set 4: Quasistationary states. Perturbation theory for scattering. PostScript, PDF.
  Distributed: 18.10.07.
• Problem Set 5: Time-dependent perturbations and adiabatic approximation. PostScript, PDF.
  Distributed: 01.11.07.
• Problem Set 6: Legendre polynomials. PostScript, PDF.
  Distributed: 08.11.07.
• Problem Set 7: Scattering amplitude and cross section. Born approximation. PostScript, PDF.
  Distributed: 22.11.07.
• Problem Set 8: Scattering of slow particles. Scattering of fast particles. PostScript, PDF.
  Distributed: 29.11.07.

• 20.09.07: Schroedinger equation. Quasiclassical wave function. Boundary conditions for quasiclassical wave functions.
  
• 27.09.07: Boundary conditions for quasiclassical wave functions (continued). Bohr-Sommerfeld quantization rule.
  
• 04.10.07: Bohr-Sommerfeld quantization rule in a centrally symmetric potential.
  
• 11.10.07: Quasiclassical tunneling.
  
• 18.10.07: Reflection "above the barrier". Perturbation theory in one dimension.
  
• 25.10.07: Quasistationary states. Time-dependent perturbation theory.
  
• 01.11.07: Time-dependent perturbation theory (continued). Adiabatic perturbation theory.
  
• 08.11.07: Adiabatic perturbation theory (continued). Landau-Zener transitions.
  
• 15.11.07: General notions of elastic scattering. Scattering amplitudes and cross sections. Free spherical waves.
  
• 22.11.07: Free spherical waves (continued). Scattering amplitudes in terms of phase shifts.
  
• 29.11.07: Unitarity condition for scattering. Optical theorem. Born approximation.
  
• 6.12.07: Born approximation (continued). Scattering of slow particles.
  
• 13.12.07: Scattering of slow particles (continued). Resonant scattering.
  
• 20.12.07: Scattering of fast particles (eikonal approximation).