(*)Upon completing the course, students will possess the following skills. They are able to
- explain and summarize key concepts used to describe angular momenta and their coupling in quantum mechanics (k1/k2);
- describe the fundamental concepts of the time evolution of quantum systems, and assess the advantages of different approaches to the time evolution of a given time-dependent quantum system (k1-k4);
- understand the relativistic description of the electron and the non-relativistic limit, and decide for advanced systems whether a non-relativistic limit applies (k1-k3);
- interpret basic principles of the quantization of electromagnetic fields, and apply the concepts of adsorption, spontaneous/induced emission of photons to other quantum systems (k1-k3);
- engage with current research topics in the field (k5).
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(*)During the course, students will acquire knowledge in the following areas and concepts of quantum mechanics:
- angular momentum algebra including spin;
- addition of angular momenta;
- fundamental approaches to the time evolution and time-dependent perturbation theory including Fermi’s Golden Rule;
- variational principle and approximation methods;
- relativistic quantum mechanics of the electron and the non-relativistic limit;
- coupling of Dirac particles to electromagnetic fields;
- field quantization;
- Glauber/coherent states;
- photon adsorption and emission.
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