Master’s studies

Syllabus for Mathematical Methods of Physics II

Fysikens matematiska metoder II

Syllabus

  • 10 credits
  • Course code: 1FA155
  • Education cycle: Second cycle
  • Main field(s) of study and in-depth level: Physics A1N
  • Grading system: Fail (U), 3, 4, 5.
  • Established: 2010-03-18
  • Established by: The Faculty Board of Science and Technology
  • Applies from: week 31, 2010
  • Entry requirements: 120 credits with Mathematical Methods of Physics or equivalent.
  • Responsible department: Department of Physics and Astronomy

Learning outcomes

After completing the course, the student should acquire basic knowledge of some advanced topics in Mathematical Physics, such as the elements of functional analysis, the elements of algebra and group theory and the elements of differential geometry. The student should be able to solve problems within these topics and describe their significance in modern physics.

Content

The course is the direct continuation of the course in Mathematical methods of Physics (1FA121). The course deals with advanced topics in mathematical physics: the elements of functional analysis (topological space, metric space, Hilbert space, self-adjoint operators and their application in quantum mechanics), the elements of abstract algebra and group theory (associative, Lie algebra, Lie group, matrix groups, representations), the elements of topology and differential geometry with their application in physics (smooth manifolds, tensors, differential forms, fibre bundles, gauge theory, Yang-Mills theory).

Instruction

Lectures and lessons.

Assessment

Examination at the end of the course.

Reading list

Applies from: week 32, 2010

  • Richtmyer, Robert D. Principles of advanced mathematical physics : Vol. 1

    New York: Springer, Cop. 1978

    Find in the library

  • Richtmyer, Robert D. Principles of advanced mathematical physics : Vol. 2

    New York: Springer, Cop. 1981

    Find in the library