Quantum Physics III. Winter Semester 2005-2006
Links to other previous and current courses:
(click here)
Exam schedule:
Monday, February 20 and
Tuesday, February 21 (click here!), room CE100
Exam rules and topics:
PostScript, PDF.
Course schedule:
Tuesday 13-14 (exercises), room CE 105
Thursday 12-14 (lectures), room CE 103
Lecturer: Prof. Dmitri Ivanov
tel: 3-3419, office: PH-H2-497, e-mail: dmitri.ivanov (at) epfl.ch
Assistant: Benoit Crouzy
e-mail: benoit.crouzy (at) epfl.ch
Course program:
1. Quasiclassical approximation
2. Scattering theory
3. Atoms and molecules
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.
Problem sets:
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Problem Set 0: Reviewing basic quantum mechanics.
PostScript, PDF.
Distributed: 27.10.05.
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Problem Set 1: Quasiclassical energy levels.
PostScript, PDF.
Distributed: 03.11.05.
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Problem Set 2: Quasiclassical wave functions.
PostScript, PDF.
Distributed: 17.11.05.
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Problem Set 3: Quasiclassical tunneling.
PostScript, PDF.
Distributed: 24.11.05.
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Problem Set 4: Quasistationary states. Perturbation theory for scattering.
PostScript, PDF.
Distributed: 01.12.05.
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Problem Set 5: Scattering amplitude and cross section. Born approximation.
PostScript, PDF.
Distributed: 22.12.05.
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Problem Set 6: Scattering of slow particles. Scattering of fast particles.
PostScript, PDF.
Distributed: 19.01.06.
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Problem Set 7: Atoms with two and more electrons.
PostScript, PDF.
Distributed: 26.01.06.
Previous and forthcoming lectures:
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27.10.05: Schroedinger equation. Quasiclassical wave function.
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03.11.05: Boundary conditions for quasiclassical wave functions.
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10.11.04: Boundary conditions for quasiclassical wave functions
(continued). Bohr-Sommerfeld quantization rule.
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17.11.04: Bohr-Sommerfeld quantization rule in a centrally symmetric field.
Quasiclassical tunneling.
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24.11.04: Quasiclassical tunneling (continued).
Reflection "above the barrier".
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01.12.05: Perturbation theory for scattering (one-dimensional).
Quasistationary states.
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08.12.05: Quasistationary states (continued).
General notions of elastic scattering. Scattering amplitudes
and cross sections.
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15.12.05: Free spherical waves. Scattering amplitudes in terms of phase
shifts.
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22.12.05: Unitarity condition for scattering. Optical theorem.
Born approximation.
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12.01.06: Scattering of low particles. Resonant scattering.
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19.01.06: Resonant scattering (continued). Scattering of fast
particles (eikonal approximation).
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26.01.06: Scattering of identical particles.
Many-electron atoms. Hartree-Fock approximation.
written and maintained by D.Ivanov.
Last updated: 02.02.2006.