In Spring 2023, I was a teaching assistant for the Quantum Mechanics course for second-year Bachelor’s students in Physics. The lectures were given by Dr. Dmitry Fedorov and Dr. Loris Di Cairano (under the guidance of Prof. Alexandre Tkatchenko). In my weekly seminars, I explained solutions to textbook quantum-mechanical problems and introduced students to important practical aspects of quantum mechanics. The seminars were held in a blackboard style, which I found a thoroughly enjoyable and inspiring experience. In each class, I first refreshed the minimum required theory and connected it to the lectures, and we then worked through examples together. I made a habit of inviting students to the blackboard and guiding them through the solution, which kept the classes interactive and let me correct typical mistakes on the fly.

I also prepared homework problems for each seminar, which you can find below.

Seminars

• Seminar 1: Wavefunctions and their probabilistic interpretation, normalization condition. Homework
• Seminar 2: Operators, commutators, functions of operators. Homework
• Seminar 3: Eigenvalue problem for an operator, stationary Schrödinger equation, particle in a box. Homework
• Seminar 4: Quantum harmonic oscillator, ladder operators. Homework with explanatory solutions
• Seminar 7: Angular momentum operator, its commutators and properties. Homework
• Seminar 8: Spin operator and Pauli matrices, hydrogen atom. Homework
• Seminar 9: Rayleigh–Schrödinger perturbation theory. Homework
• Seminar 10: Time-dependent perturbation theory and Fermi’s golden rule. Homework