Quantum Physics III. Winter Semester 2006-2007
Links to other previous and current courses:
(click here)
Exam schedule:
Thursday, February 22, (schedule) room CE104
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: George Jackeli
e-mail: george.jackeli (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: 26.10.06.
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Problem Set 1: Quasiclassical energy levels.
PostScript, PDF.
Distributed: 02.11.06.
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Problem Set 2: Quasiclassical wave functions.
PostScript, PDF.
Distributed: 09.11.06.
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Problem Set 3: Quasiclassical tunneling.
PostScript, PDF.
Distributed: 16.11.06.
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Problem Set 4: Quasistationary states. Perturbation theory for scattering.
PostScript, PDF.
Distributed: 23.11.06.
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Problem Set 5: Time-dependent perturbations and adiabatic approximation.
PostScript, PDF.
Distributed: 30.11.06.
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Problem Set 6: Legendre polynomials.
PostScript, PDF.
Distributed: 14.12.06.
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Problem Set 7: Scattering amplitude and cross section. Born approximation.
PostScript, PDF.
Distributed: 21.12.06.
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Problem Set 8: Scattering of slow particles. Scattering of fast particles.
PostScript, PDF.
Distributed: 11.01.07.
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Problem Set 9: Atoms with two and more electrons.
PostScript, PDF.
Distributed: 02.02.07.
Previous and forthcoming lectures:
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26.10.06: Schroedinger equation. Quasiclassical wave function.
Boundary conditions for quasiclassical wave functions.
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02.11.06: Boundary conditions for quasiclassical wave functions (continued).
Bohr-Sommerfeld quantization rule.
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09.11.06: Bohr-Sommerfeld quantization rule in a centrally symmetric potential.
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16.11.06: Quasiclassical tunneling.
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23.11.06: Reflection "above the barrier". Perturbation theory in one dimension.
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30.11.06: Quasistationary states. Time-dependent perturbation theory.
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07.12.06: Adiabatic perturbation theory. Landau-Zener transitions.
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14.12.06: General notions of elastic scattering. Scattering amplitudes and cross sections. Free spherical waves.
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21.12.06: Scattering amplitudes in terms of phase shifts. Unitarity condition for scattering. Optical theorem.
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11.01.07: Born approximation. Scattering of slow particles
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18.01.07: Resonant scattering.
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25.01.07: Scattering of fast particles. Scattering of identical particles.
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02.02.07: Many-electron atoms. Hartree-Fock and Thomas-Fermi approximations.
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09.02.07: Molecules. Adiabatic (Born-Oppenheimer) approximation.
written and maintained by D.Ivanov.
Last updated: 09.02.2007.