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MAF900_1

Mathematics and Physical Methods

This is the study programme for 2019/2020. It is subject to change.


The course include important topics from mathematics and theoretical physics, e.g., groups and symmetries, differential geometry, path-integrals and gauge theory.

Learning outcome

After completing the course the student should have knowledge of key aspects of mathematical methods and concepts in mathematical and theoretical physics. This includes group and symmetry term, and differential geometry with applications.

Contents

The course includes the following topics:
Mathematics: Lie groups / algebras, group effects, subjects from differential geometry (among others Differential Forms, orthogonal frames), fiber bundles, tangent bundles, connections.
Physics: Road integrals, generating functionals and perturbasjonsrekken, effective potentials, non-abelian gaugeteorier (Yang-Mills), symmetry breaking, the Higgs mechanism and anomalies.

Required prerequisite knowledge

None.

Recommended previous knowledge

General mathematics knowledge at masters level

Exam

Weight Duration Marks Aid
Oral exam1/1 Pass - FailNone permitted

Course teacher(s)

Course coordinator
Sigbjørn Hervik
Course teacher
Per Amund Amundsen
Head of Department
Bjørn Henrik Auestad

Method of work

5 hours of lectures and exercises per week. If few students the course may be arranged as self study.

Open to

Computer Engineering - PhD
Technology and Natural Science - PhD programme

Course assessment

Form and/or discussion according to established guidelines.

Literature

M Nakahara: Geometry, Topology and Physics.
M. E. Peskin og D. V Scroeder: "An Introduction to Quantum Field Theory"


This is the study programme for 2019/2020. It is subject to change.

Sist oppdatert: 13.11.2019

History