Upon completing the course, students will possess the following skills. They are able to
- understand and explain basic concepts of probability calculus and their application to physical problems (k2/k3);
- apply their mathematical and physical knowledge for deriving key equations and quantities in the statistical physics of equilibrium systems (k3);
- link concepts from classical and quantum mechanics to the statistical description of macroscopic physical systems in equilibrium (k2-k4);
- apply key methods of statistical physics to model systems and physical problems (k3/k4).
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During the course, students will acquire knowledge in the following areas and concepts of statistical physics:
- mathematical treatment of probability;
- random experiments and random variables;
- moments, cumulants, and characteristic functions;
- concept of missing information and its maximization under constraints;
- link of statistical concepts to thermodynamics;
- statistical ensembles;
- Hamilton formalism of classical mechanics;
- phase space statistics;
- foundations of quantum mechanics;
- mixed quantum states and density matrix;
- basics of quantum many-particle physics;
- fermions and bosons;
- ideal quantum gases.
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