1. Introduction 2. Quantum states, distance measures, entanglement, correlations, non-locality 3. Quantum communication 4. Quantum computation 5. Physical realization 6. Open Quantum Systems and Quantum Operations 7. Information, entropy and capacity

1. Introduction 2. Classical phase transitions and universality 3. Statistical mechanics and path integrals 4. Renormalization group 5. Theoretical models for quantum phase transitions 6. Quantum phase transitions: Primer 7. Magnetic quantum phase transitions 8. Quantum phase transitions of bosons and fermions 9. Applications: Quantum phase transitions in metals, deconfined quantum criticality, quantum phase transitions in high-energy physics, asymptotic safety scenario of quantum gravity

1. Structure and symmetry of crystalline solids 2. Lattice vibrations and phonons 3. Non-interacting electrons in solids 4. Theory of electron transport 5. Electrons in magnetic fields 6. Interacting electrons and collective excitations

Statistical Physics of polymers and biological membranes, active processes, stochastic motion in potential energy landscapes, dynamics of biological molecules

Electronic structure of strongly correlated systems: One-particle vs. Many-body framework, Ground state and Excitations,Density of States and Spectral Weights, H2 molecule – Heitler-London, Hubbard, Total energy diagrams - Configuration interaction, Atomic multiplet theory - Solid state screening, Transition Metal Oxides: Zaanen-Sawatzky-Allen, Kondo systems: Gunnarsson and Schönhammer, Mixed Valent Systems, Doping dependence, Transfer of Spectral Weight, Green’s Functions formalism.