Introduction to the theory of lasers, time-dependent quantum mechanics, atom-laser interactions, above-threshold and multi-photon ionization, high-harmonic-order generation, molecule-laser interactions, femtosecond spectroscopy, coherent control, quantum computing

Frustrated Magnetism is one of the most active research area of modern condensed matter physics. Frustration refers to a situation where the contributions to the potential energy of a many-many body system cannot be simultaneously minimized, a prime example being a antiferromagnetic Ising model on a triangular lattice. Frustration is the source of many novel phases - in particular novel forms of disorder - and exciting phenomena connected to them, such as quantum number fractionalization. Frustrated magnets can e.g. display spin-liquid phases, with a deep connection to topological states of matter.

The lecture will give an introduction to the field, primarily from a theoretical and conceptual perspective. It will cover general ideas, concrete models for frustrated magnets, theoretical methods such as spin-wave theory, parton constructions, and gauge fields, as well as advanced topics. Relevant experimental observations will be discussed as well.

This lecture will explain how one-dimensional systems can be analysed theoretically, and how dramatically different they are from two- and three-dimensional systems. We will cover exciting physical phenomena such as spin-charge separation, understand in what sense bosons, fermions, and spins are the same in one dimension, and provide an introduction to the field theoretical description of one-dimensional systems, as well as the renormalisation group approach.

1. Liquid drop model 2. Wave function methods (Hartree,Hartree-Fock,Configuration interaction,etc.) 3. Density functional theory(DFT) 4. Time dependent DFT.

The course deals with the physical properties of nanostructured materials and their fabrication. The course is accompanied by lab classes. The following topics are discussed:

• scaling laws, mesoscopic systems, quantum effects

• synthesis of clusters and nanotubes

• 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 electron beam lithography, optical lithography, and scanning probe techniques

• giant magnetoresistance, single-electron devices

• microfluidics and colloids

The topics of the lecture course, in brief:

• Cytoskeleton and cellular machines from an engineering perspective
• Biosensors based on nanomaterials
• Microscopy: From basics to super-resolution
• Synthetic biology and artificial life
• DNA-based Nanotechnology
• BioMEMS and BioNEMS
• Biomicrofluidics: Continuous flow and emulsions
• 3D printing

The lecture will address the following apects of molecular nanostructures: - High resolution microscopy (TEM, STM ...) - Chemical bonds in molecular nanostructures - Synthesis and functionalisation of molecular nanostructures - Physical properties and applications of molecular nanostructures - Molecular magnetism - Transport properties of graphene

Topic covered in the lecture will include: transport phenomena (diffusion, convection, ballistic, passive and active), stochastic processes (random walks, Fokker-Planck and master equations), anomalous diffusion (sub- and super- and fractional Brownian motion) and then various applications to biology including motility of cells and bacteria, molecular motors, active nuclear transport and chemotaxis.

Examples of aggregates (photosynthesis, artificial light harvesting units) Electronic excitation transfer Absorption of light Coupling to vibrational degrees of freedom Disorder (Anderson localization) Non-linear optical properties

The lectures will cover modern aspects of various x-ray and neutron scattering methods at large-scale facilities (synchrotrons and neutron sources). These will include elastic and inelastic x-ray scattering, resonant x-ray scattering, neutron diffraction, inelastic neutron scattering, polarized neutron scattering, neutron spin-echo spectroscopy.