Quantum Many-Body Physics 2 D
Aalto University
<p>The course concerns applications of quantum field theory in condensed matter physics including equation-of-motion techniques for many-particle Green s functions and Feynman diagrams for potential scattering and two-particle interactions. The interacting electron gas is of particular interest together with the transport properties of low-dimensional quantum systems such as quantum dots, nanowires, and other mesoscopic conductors. Several physical phenomena and methods are discussed, including optical and tunneling spectroscopy, Coulomb blockade, impurity scattering, and Fermi liquid theory. The course will prepare students for further advanced studies of quantum condensed matter physics, and it will bring them to the forefront of current research in the field.</p><p>The following topics will be discussed:</p><ul><li>Second quantization & the electron gas</li><li>Time-dependence in quantum theory</li><li>Linear response theory</li><li>Transport in mesoscopic systems</li><li>Green's functions</li><li>Equation of motion theory</li><li>Transport in interacting mesoscopic systems</li><li>Imaginary-time Green's functions</li><li>Feynman diagrams and external potentials</li><li>Feynman diagrams and pair interactions</li><li>The interacting electron gas</li><li>Fermi liquid theory</li></ul><p>The topics might slightly differ from year to year.</p>
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