Search result: Catalogue data in Autumn Semester 2016
|Bachelor Studies (Programme Regulations 2010)|
|Second Year Compulsory Courses|
|Examination Block I|
|401-2303-00L||Complex Analysis||O||6 credits||3V + 2U||R. Pandharipande|
|Abstract||Complex functions of one variable, Cauchy-Riemann equations, Cauchy theorem and integral formula, singularities, residue theorem, index of closed curves, analytic continuation, special functions, conformal mappings, Riemann mapping theorem.|
|Objective||Working Knowledge with functions of one complex variables; in particular applications of the residue theorem|
|Literature||Th. Gamelin: Complex Analysis. Springer 2001 |
E. Titchmarsh: The Theory of Functions. Oxford University Press
D. Salamon: "Funktionentheorie". Birkhauser, 2011. (In German)
L. Ahlfors: "Complex analysis. An introduction to the theory of analytic functions of one complex variable." International Series in Pure and Applied Mathematics. McGraw-Hill Book Co.
B. Palka: "An introduction to complex function theory."
Undergraduate Texts in Mathematics. Springer-Verlag, 1991.
R.Remmert: Theory of Complex Functions. Springer Verlag
|401-2333-00L||Methods of Mathematical Physics I||O||6 credits||3V + 2U||C. A. Keller|
|Abstract||Fourier series. Linear partial differential equations of mathematical physics. Fourier transform. Special functions and eigenfunction expansions. Distributions. Selected problems from quantum mechanics.|
|Prerequisites / Notice||Die Einschreibung in die Übungsgruppen erfolgt online. Melden Sie sich im Laufe der ersten Semesterwoche unter echo.ethz.ch mit Ihrem ETH Account an. Der Übungsbetrieb beginnt in der zweiten Semesterwoche.|
|402-2883-00L||Physics III||O||7 credits||4V + 2U||J. Home|
|Abstract||Introductory course on quantum and atomic physics including optics and statistical physics.|
|Objective||A basic introduction to quantum and atomic physics, including basics of optics and equilibrium statistical physics. The course will focus on the relation of these topics to experimental methods and observations.|
|Content||Evidence for Quantum Mechanics: atoms, photons, photo-electric effect, Rutherford scattering, Compton scattering, de-Broglie waves.|
Quantum mechanics: wavefunctions, operators, Schrodinger's equation, infinite and finite square well potentials, harmonic oscillator, hydrogen atoms, spin.
Atomic structure: Perturbation to basic structure, including Zeeman effect, spin-orbit coupling, many-electron atoms. X-ray spectra, optical selection rules, emission and absorption of radiation, including lasers.
Optics: Fermat's principle, lenses, imaging systems, diffraction, interference, relation between geometrical and wave descriptions, interferometers, spectrometers.
Statistical mechanics: probability distributions, micro and macrostates, Boltzmann distribution, ensembles, equipartition theorem, blackbody spectrum, including Planck distribution
|Lecture notes||Lecture notes will be provided electronically during the course.|
|Literature||Quantum mechanics/Atomic physics/Molecules: "The Physics of Atoms and Quanta", H. Hakan and H. C. Wolf, ISBN 978-3-642-05871-4|
Optics: "Optics", E. Hecht, ISBN 0-321-18878-0
Statistical mechanics: "Statistical Physics", F. Mandl 0-471-91532-7
|Examination Block II|
|402-2203-01L||Classical Mechanics||O||7 credits||4V + 2U||G. M. Graf|
|Abstract||A conceptual introduction to theoretical physics: Newtonian mechanics, central force problem, oscillations, Lagrangian mechanics, symmetries and conservation laws, spinning top, relativistic space-time structure, particles in an electromagnetic field, Hamiltonian mechanics, canonical transformations, integrable systems, Hamilton-Jacobi equation.|
|Third Year Compulsory Courses|
|402-0205-00L||Quantum Mechanics I||O||10 credits||3V + 2U||T. K. Gehrmann|
|Abstract||Introduction to non-relativistic single-particle quantum mechanics. In particular, the basic concepts of quantum mechanics, such as the quantisation of classical systems, wave functions and the description of observables as operators on a Hilbert space, and the formulation of symmetries will be discussed. Basic phenomena will be analysed and illustrated by generic examples.|
|Objective||Introduction to single-particle quantum mechanics. Familiarity with basic ideas and concepts (quantisation, operator formalism, symmetries, perturbation theory) and generic examples and applications (bound states, tunneling, scattering states, in one- and three-dimensional settings). Ability to solve simple problems.|
|Content||Keywords: Schrödinger equation, basic formalism of quantum mechanics (states, operators, commutators, measuring process), symmetries (translations, rotations), quantum mechanics in one dimension, spherically symmetric problems in three dimensions, scattering theory, perturbation theory, variational techniques, spin, addition of angular momenta, relation between QM and classical physics.|
|Literature||F. Schwabl: Quantum mechanics|
J.J. Sakurai: Modern Quantum Mechanics
C. Cohen-Tannoudji: Quantum mechanics I
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