Syllabus for |
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| FUF030 - Symmetry and group theory |
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| Owner: TTFYA |
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5,0 Credits (ECTS 7,5) |
| Grading: TH - Five, Four, Three, Not passed |
| Level: D |
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Department: 17 - FUNDAMENTAL PHYSICS
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Teaching language: English
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Credit distribution |
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Examination dates |
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Sp1 |
Sp2 |
Sp3 |
Sp4 |
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No Sp |
| 0105 |
Written and oral assignments |
5,0 c |
Grading: TH |
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5,0 c
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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.