Quantum field theory applications for solid state and mesoscopic systems
Dr. Ernestas Žąsinas, Master studies, 2 semester, spring, 4,5 ECTS credits.
Course unit content: The basic methods of quantum field theory: field quantization,
properties and use of Green's function, perturbation theory and Feynman's diagrams.
Applications of quantum field methods to calculate the properties of the interacting
electron gas with the aim to understand how various electron interactions result in such
effects as electron mass renormalisation, Coulomb potential screening, plasmons,
superconductivity and magnetism. Solving example problems of mesoscopic systems by
applying the quantum field theory techniques. The charge tunneling and related effects,
charge transport via the randomly disordered potential are the main topics.
Reading list:
1. Many Particle Physics (Physics of Solids and Liquids), G. D. Mahan, Springer; 3
edition (2000).
2. Quantum Theory of Many-Particle Systems, Fetter A. L., Walecka J. D., Dover
Publications (2003).
3. Introduction to Mesoscopic Physics, Imry Y., Oxford University Press (1997).
4. Semiclassical Theory of Mesoscopic Quantum Systems, K. Richter, SpringerVerlag (2000).
5. Many Particle Physics, G. D. Martin, Springer (2000).
Assessment: Examination in write (problem solutions) 50%, oral examination 50%.