Lehre

Lehrende: Dr. Georg Rohringer

Veranstaltungsart: Vorlesung

Semesterwochenstunden: 4

Unterrichtssprache: Englisch

Inhalte:

• Introduction to correlated many-body sytems
• Second Quantization
• One- and two-particle Green's functions
• Matsubara formalism
• Diagrammatic perturbation theory and Feynman diagrams
• Fermi liquid theory
• Linear response theory
• Applications: Magnetism and (Super)conductivity
• Outlook: Dynamical mean field theory and beyond

Lernziel:

Upon successful completion of the module the students are acquainted with the relevant quantum field theoretical methods for the theoretical description of strongly correlated many-body systems and are able to independently apply these techniques to model as well as realistic many-particle systems.

Lehrungerlagen:

• Overview
• Lecture Notes 1: Introduction to correlated many-body systems - Mean Field Theories
• Lecture Notes 2: Second Quantization
• Lecture Notes 3a: One- and two-particle Green's functions and Matsubara formalism
• Lecture Notes 3b: One- and two-particle Green's functions and Matsubara formalism
• Lecture Notes 4: Diagrammatic perturbation theory and Feynman diagrams (including basics of Fermi Liquid Theory)
• Lecture Notes 5: Linear response theory and Applications: Superconductivity, Magnetism and Charge fluctuations

Literatur:

• A. A. Abrikosov , L. P. Gorkov , I. E. Dzyloshinski , Methods of Quantum Field Theory in Statistical Physics, Dover Publications, Inc. New York, 1963
• A. Altland and B. Simons, Condensed Matter Field Theory, Cambridge University Press, 2010
• K. Elk und W. Gasser, Die Methode der Greenschen Funktionen in der Festkörperphysik, Akademia Verlag, Berlin 1979
• A. L. Fetter and J. D. Walecka , Quantum Theory of Many Particle Systems, Dover Publications, 2003
• A. M. Zagoskin , Quantum Theory of Many Body Systems, Springer Science+Business Media New York, 1998

Übungsgruppenleiter für "Übungen zur Physik I und Einführung in die Theoretische Physik I". Mehre Informationen zu dieser Lehrveranstaltung sind auf STiNE verfügbar.

Lehrende: Dr. Georg Rohringer

Veranstaltungsart: Vorlesung

Semesterwochenstunden: 2

Unterrichtssprache: Englisch

Inhalte:

• Introduction to correlated many-body sytems
• Second Quantization
• One- and two-particle Green's functions
• Matsubara formalism
• Diagrammatic perturbation theory and Feynman diagrams
• Fermi liquid theory
• Linear response theory
• Applications: Magnetism and (Super)conductivity
• Outlook: Dynamical mean field theory and beyond

Lernziel:

Upon successful completion of the module the students are acquainted with the relevant quantum field theoretical methods for the theoretical description of strongly correlated many-body systems and are able to independently apply these techniques to model as well as realistic many-particle systems.

Lehrungerlagen:

• Overview
• Lecture Notes 1: Introduction to correlated many-body systems - Mean Field Theories
• Lecture Notes 2: Second Quantization
• Lecture Notes 3a: One- and two-particle Green's functions and Matsubara formalism
• Lecture Notes 3b: One- and two-particle Green's functions and Matsubara formalism
• Lecture Notes 4: Diagrammatic perturbation theory and Feynman diagrams (including basics of Fermi Liquid Theory)
• Lecture Notes 5: Linear response theory and Applications: Superconductivity, Magnetism and Charge fluctuations

Literatur:

• A. A. Abrikosov , L. P. Gorkov , I. E. Dzyloshinski , Methods of Quantum Field Theory in Statistical Physics, Dover Publications, Inc. New York, 1963
• A. Altland and B. Simons, Condensed Matter Field Theory, Cambridge University Press, 2010
• K. Elk und W. Gasser, Die Methode der Greenschen Funktionen in der Festkörperphysik, Akademia Verlag, Berlin 1979
• A. L. Fetter and J. D. Walecka , Quantum Theory of Many Particle Systems, Dover Publications, 2003
• A. M. Zagoskin , Quantum Theory of Many Body Systems, Springer Science+Business Media New York, 1998