Course syllabus
Kvantmekanik, fortsättningskurs 2
Quantum Mechanics, Advanced Course 2
FMFN10, 7,5 credits, A (Second Cycle)
Valid for: 2013/14
Decided by: Education Board B
Date of Decision: 2013-04-10
General Information
Elective for: F4, F4-tf
Language of instruction: The course will be given in English
Aim
The course should give the student an ability to perform
calculations and derivations using a modern quantum
mechanical formalism, especially in vector spaces with continuous
eigenvalue spectra. The student should also achieve an improved
ability to assimilate the contents of research articles in modern
physics and be able to apply the formalism on concrete physical
problems.
Learning outcomes
Knowledge and understanding
For a passing grade the student must
- have a knowledge and understanding of the basic foundations of
modern quantum mechanics
- understand the possibilities and limitations of quantum
mechanics
- be able to choose and carry through a quantum mechanical
analysis to solve or illuminate some physical question
Competences and skills
For a passing grade the student must
Be able to derive quantum mechanical relations and solve
physical problems using a modern quantum mechanical formalism
Contents
- Fundamental concepts and quantum dynamics.
- Theory of Angular momemtum, the groups SO(3) and SU(2), Euler
rotations, representations of the rotation operator, addition of
angular momenta, Bell's inequality, tensor operators, Wigner-Eckart
theorem.
- Symmetries in quantum mechanics: Parity, lattice translations,
time-reversal.
- Approximation methods: Interaction picture, time-dependent
perturbation theory.
- Many-particle theory and second quantization: identical
particles, bosons, fermions, field operators.
- Scattering theory: Lippmann-Schwinger equation, Born
approximation, optical theorem, partial waves.
Examination details
Grading scale: TH
Assessment: Written exam with both problems and theory. The grading will be determined from the exam.
Admission
Required prior knowledge: FMFN01 Quantum Mechanics, Advanced Course.
The number of participants is limited to: No
Reading list
- Sakurai, J.J., Modern Quantum Mechanics,Addison-Wesley Publ. Company, 1994, ISBN: 0-201-53929-2.
Contact and other information
Course coordinator: Ferdi Aryasetiawan, ferdi.aryasetiawan@teorfys.lu.se
Course homepage: http://www.matfys.lth.se