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Syllabus for

Academic year
FUF030 - Symmetry and group theory
 
Owner: TTFYA
5,0 Credits (ECTS 7,5)
Grading: TH - Five, Four, Three, Not passed
Level: D
Department: 17 - FUNDAMENTAL PHYSICS


Teaching language: English

Course module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 No Sp
0105 Written and oral assignments 5,0 c Grading: TH   5,0 c    

In programs

TTFYA ENGINEERING PHYSICS, Year 4 (elective)

Examiner:

Docent  Per Salomonson



Eligibility:

For single subject courses within Chalmers programmes the same eligibility requirements apply, as to the programme(s) that the course is part of.

Content

The course treats, first discreet groups with applications to molecular
physics and solisd state physics, then Lie groups and their algebras,
with broad applicability within all areas of modern physics, quantum
mechanics not the least.
The classification of Lie algebras is performed with such general
mathematical methods that even infinite dimensional algebras can be
treated. These latter are fundamental in quantum field theory and hence
central in gravity, string theory, etc., and for understanding of
critical phenomena and phase transitions in condensed matter theory.

Organisation

Lectures

Literature

M. Tinkham: "Group theory and quantum mechanics" (McGraw-Hill 1964),
Christopher Pope: "Geometry and group theory" pp 72-156.
(Available on the web.)
Robert Cahn: " Semisimple Lie Algebras and their representations"
(available on the web).
J. Fuchs and C. Schweigert, "Symmetries, Lie algebras and
representations" (Cambridge 1997, paperback 2003).

Examination

Home problems + oral examination.


Page manager Published: Thu 03 Nov 2022.