402-0205-00L Quantum Mechanics I
| Semester | Autumn Semester 2020 |
| Lecturers | G. M. Graf |
| Periodicity | yearly recurring course |
| Language of instruction | German |
| Abstract | Introduction to quantum theory: Wave mechanics, Schrödinger equation, angular momentum, central force problems, potential scattering, spin. General structure: Hilbert space, states, observables, equation of motion, density matrix, symmetries, Schrödinger and Heisenberg picture. Approximate methods: perturbation theory, variational approach, quasi-classics. |
| Learning objective | Introduction to single-particle quantum mechanics. Familiarity with basic ideas and concepts (quantisation, operator formalism, symmetries, angular momentum, perturbation theory) and generic examples and applications (bound states, tunneling, hydrogen atom, harmonic oscillator). Ability to solve simple problems. |
| Content | The beginnings of quantum theory with Planck, Einstein and Bohr; wave and matrix mechanics; the formalism of quantum mechanics (states and observables, Hilbert spaces and operators), the measurement process, symmetries (translation, rotations), quantum mechanics in one dimension (bound states, scattering problems, tunnel effect, resonances) as well as in three (central force problems, potential scattering), perturbation theory, variational methods, angular momentum and spin; relationship of QM to classical physics; possibly composite systems and entanglement. |
| Lecture notes | Auf Moodle, in deutscher Sprache |
| Literature | G. Baym, Lectures on Quantum Mechanics E. Merzbacher, Quantum Mechanics L.I. Schiff, Quantum Mechanics R. Feynman and A.R. Hibbs, Quantum Mechanics and Path Integrals J.J. Sakurai: Modern Quantum Mechanics A. Messiah: Quantum Mechanics I S. Weinberg: Lectures on Quantum Mechanics |