Course syllabus

# Kvantmekanik, fortsättningskurs 1

Quantum Mechanics, Advanced Course 1

## FMFN01, 7,5 credits, A (Second Cycle)

## General Information

## Aim

## Learning outcomes

## Contents

## Examination details

## Admission

## Reading list

## Contact and other information

Quantum Mechanics, Advanced Course 1

Valid for: 2021/22

Faculty: Faculty of Engineering, LTH

Decided by: PLED F/Pi

Date of Decision: 2021-04-23

Main field: Nanoscience.

Elective for: F4, F4-tf, F4-f, F4-nf, F4-aft, MFOT1, MNAV2, N4-nf

Language of instruction: The course will be given in English on demand

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.

Competences and skills

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
- be able to discuss and communicate Q M problems.

Judgement and approach

For a passing grade the student must

- realize the importance of quantum mechanics in some applications.

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.

Grading scale: TH - (U,3,4,5) - (Fail, Three, Four, Five)

Assessment: Written exam with both problems and theory. Project work.

The examiner, in consultation with Disability Support Services, may deviate from the regular form of examination in order to provide a permanently disabled student with a form of examination equivalent to that of a student without a disability.

Parts

Code: 0110. Name: Examination.

Credits: 6. Grading scale: TH. Assessment: Written exam. Contents: According to the lectures

Code: 0210. Name: Project Work.

Credits: 1,5. Grading scale: UG. Assessment: Written and oral presentation. Contents: Subject choosen according to student interest

Assumed prior knowledge: Quantum mechanics corresponding to FAFF10 Atomic and Nuclear Physics with Applications or FMFF15 Quantum Mechanics and Mathematical Methods.

The number of participants is limited to: No

The course overlaps following course/s: FMF032, FMF033

- Andreas Wacker, Gunnar Ohlen, and Stephanie Reimann: Compendium Quantum Mechanics FYSN17/FMFN01. Mathematical Physics, 2013. Available from the course home page.

Course coordinator: Stephanie Reimann, Stephanie.Reimann@matfys.lth.se

Course homepage: http://www.matfys.lth.se/education/FMFN01