Syllabus academic year 2007/2008
QUANTUM MECHANICS, ADVANCED COURSEFMF033

Higher education credits: 7,5. Grading scale: TH. Level: A (Second level). Language of instruction: The course will be given in English on demand. FMF033 overlap following cours/es: FMF030, FFF165, FFF165 och FMFN01. Optional for: F3, F3asf, F3tf, N4. Course coordinator: Prof Cecilia Jarlskog, cecilia.jarlskog@matfys.lth.se, Fysik, kurslaboratoriet. Recommended prerequisits: Basic Quantum Mechanics. Assessment: Written exam with both problems and theory. Home page: http://www.matfys.lth.se/kvantFK.html.

Aim
Quantum Mechanics is basic for all modern physics. This course gives a deeper understanding that all physicists need both experimentalists and theoreticians. Both theory and applications are treated in the course. Applications are choosen in close relations to other courses.

Knowledge and understanding
For a passing grade the student must

- know formalism and mathematical methods

- know how to apply the theory on real problems

- know how to use se quantum mechanics in some applications

Skills and abilities
For a passing grade the student must

- know how to use the methods of Q M to analyse and make calculations on relevant physical problems

- know methods to determine if a Q M or classical treatment is needed

Judgement and approach
For a passing grade the student must

be able to discuss and communicate Q M problems

Contents
Matrix representation. Dirac formalism. Hamiltonian for a particle in an electromagnetic field. Operator formalism for the harmonic oscillator. Landau levels and phonon states. Second order perturbation theory. Time-dependent perturbation theory and Fermi’s golden rule. General theory of angular momenta and spin. Addition of angular momenta.. The Stark and Zeeman effects. The Stern-Gerlach experiment. Elementary theory for quantization of the electromagnetic field - transitions and selection rules. The nuclear single-particle potential, the Nilsson model.

Literature
Ohlén, G: Quantum Mechanics II, Compendium, Lund.