The course is addressed to students in experimental and theoretical condensed matter physics and provides a theoretical introduction to a variety of important concepts used in this field.

Introduction to Electrodynamics. Discussion and formulation of Maxwell’s equations in vacuum and with matter. Connection to the special theory of relativity.

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A guided self-study of original papers and of advanced textbooks in theoretical physics. Within the general topic, determined each semester, participants give a presentation on a particular theme.

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General structure of quantum theory: Hilbert spaces, states and observables, equations of motion, Heisenberg uncertainty relation, symmetries, angular momentum addition, EPR paradox, Schrödinger and Heisenberg picture.Applications: simple potentials in wave mechanics, scattering and resonance, harmonic oscillator, hydrogen atom, and perturbation theory.

Many-body quantum physics rests on symmetry considerations that lead to two kinds of particles, fermions and bosons. Formal techniques include Hartree-Fock theory and second-quantization techniques, as well as quantum statistics with ensembles. Few- and many-body systems include atoms, molecules, the Fermi sea, elastic chains, radiation and its interaction with matter, and ideal quantum gases.

The lecture covers the concepts of classical and quantum statistical physics. The discussion ranges from foundations to specific systems, including their formalisms and techniques, such as bosonic and fermionic gases, and magnetism. Phenomena, most notably phase transitions, are treated by methods such as exact solutions, mean-field approximations, and the renormalization group.

This course unit is an alternative if no suitable "Proseminar Theoretical Physics" is available of if the proseminar is already overbooked.

This course unit is an alternative if no suitable "Proseminar Theoretical Physics" is available of if the proseminar is already overbooked.

No description available.

I. Thermodynamics1. The laws of thermodynamics2. The thermodynamic potentials3. Multicomponent thermodynamics4. The third lawII. Kinetic theory of gases5. The Boltzmann equation6. HydrodynamicsIII. Statistical mechanics7. Classical statistical mechanics8. Quantum statistics9. Applications of quantum statistics10.Ideal quantum gases11.The Ising model

Thermodynamics and its applications, and basics of the kinetic theory of gases and of statistical mechanics: equilibrium, work and heat, laws of thermodynamics, Carnot process, absolute temperature, entropy, ideal gas, thermodynamic potentials, phase transitions, multicomponent systems; Boltzmann equation, H-Theorem, Maxwell-Boltzmann distribution; statistical ensembles.

Thermodynamics and its applications, and the basics of the Kinetic Theory of Gases and of Statistical Mechanics: equilibrium, work and heat, Laws of Thermodynamics, Carnot process, absolute temperature, entropy, ideal gas, thermodynamic potentials, phase transitions, multicomponent systems; Boltzmann equation, H-Theorem, Maxwell-Boltzmann distribution; statistical ensembles.