Kursinformation

Introduction to quantum mechanics: postulates of quantum mechanics, Schrödinger equation, uncertainty principle (2h)

Review of basic quantum mechanics: real-space and momentum-space representation, bra/ket formalism and connection to the vector space and completeness relation (2h)

Free particle, particle in a box (1D and 2D) (2h)

Harmonic oscillator: algebraic solution, ladder operators (2h)

Central potentials: the Hydrogen atom (2h)

Pauli principle and antisymmetrization of wavefunction, spin and orbital angular momenta (4h)

non-degenerate time-independent perturbation theory, variational principle (Rayleigh-Ritz), Hartree Fock (4h)

time-dependent quantum mechanics: Schrödinger, Heisenberg and Dirac picture, time-dependent Schrödinger equation, Heisenberg equation of motion, time evolution operator (4h)

time-dependent perturbation theory: intermediate/interaction picture, transition probabilities, constant and periodic perturbations, sudden approximation (4h)

introduction to quantum-statistical mechanics: statistical/density operator, thermal density matrices, quantum-statistical expectation values, statistical mixtures and pure states, thermal Boltzmann operator (2h)