Many-particle quantum mechanics (second quantization, path integral methods and Green’s
functions), interacting bosons (symmetry breaking and phase transition), interacting fermions (Fermi
liquid, superconductivity, Hubbard model and strong correlations), physics in one dimension (Luttinger
liquid, Haldane conjecture and several important exactly solvable models), role of topology (integer and
fractional quantum Hall systems, topological phases and anyons)

-Time-dependent Schrödinger equation: analytical and numerical approaches -Field-matter coupling and two-level systems: Different gauges, Rabi oscillations, Landau-Zener transitions -Atoms in strong laser fields: Ionization and high harmonic generation -Molecules in strong laser fields: H2+ molecule, Born-Oppenheimer approximation, pump-probe, coherent control -sundry topics: quantum computing with molecules, HHG in solids

We will discuss the statistical physics of biological macromolecules and membranes. Starting from basic concepts of equilibrium statistical physics we will discuss conformational statistics and response to forces of polymeric macromolecules. These concepts will then be extended to surface configurations of fluid membranes which are governed by bending energies. The time dependence of molecular movements can be described as stochastic processes. We will discuss Langevin equations and Smoluchovsky equations to address the statistical physics of dynamic macromolecular processes. These concepts can be applied to to passive systems but also can be used to capture the physics of active processes such as the force generation by molecular motors.

 - scaling laws, mesoscopic systems, quantum effects - density of states and electron transport in low-dimensional systems - theoretical foundations of scanning tunnelling microscopy, atomic force microscopy, chemical atomic force microscopy, and near-field scanning optical microscopy - nanostructuring via top-down and bottom-up techniques (electron beam lithography, optical lithography, scanning probe techniques, vapour-liquid-solid…) - nano/microelectronic devices and microelectromechanical system - microfluidics and colloids - lab classes