Universität Wien FIND

Due to the COVID-19 pandemic, changes to courses and exams may be necessary at short notice. Inform yourself about the current status on u:find and check your e-mails regularly.

Please read the information on https://studieren.univie.ac.at/en/info.

260183 VO Tensors, Spinors, Twistors and all that (2010W)

2.50 ECTS (2.00 SWS), SPL 26 - Physik

Details

max. 15 participants
Language: German

Lecturers

Classes (iCal) - next class is marked with N

Monday 11.10. 17:15 - 18:30 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Tuesday 12.10. 17:15 - 18:30 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Monday 18.10. 17:15 - 18:30 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Tuesday 19.10. 17:15 - 18:30 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Monday 25.10. 17:15 - 18:30 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Monday 08.11. 17:15 - 18:30 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Tuesday 09.11. 17:15 - 18:30 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Monday 15.11. 17:15 - 18:30 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Tuesday 16.11. 17:15 - 18:30 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Monday 22.11. 17:15 - 18:30 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Tuesday 23.11. 17:15 - 18:30 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Monday 29.11. 17:15 - 18:30 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Tuesday 30.11. 17:15 - 18:30 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Monday 06.12. 17:15 - 18:30 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Tuesday 07.12. 17:15 - 18:30 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Monday 13.12. 17:15 - 18:30 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Tuesday 14.12. 17:15 - 18:30 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Monday 10.01. 17:15 - 18:30 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Tuesday 11.01. 17:15 - 18:30 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Monday 17.01. 17:15 - 18:30 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Tuesday 18.01. 17:15 - 18:30 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Monday 24.01. 17:15 - 18:30 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Tuesday 25.01. 17:15 - 18:30 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
Monday 31.01. 17:15 - 18:30 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien

Information

Aims, contents and method of the course

Focus: Quantum structure and geometry of space, time and matter

Tensors for the general linear group
Tensors for the (pseudo)orthogonal groups
2-component spinors for the Lorentz group
Clifford-Dirac algebra and spinors in n dimensions
Chiral (=Weyl=semi-=half-)spinors, Dirac-, Pauli-, bi- (=Cartan) spinors
Invariant bi- and sesquilinear forms, invariant conjugations, Majorana spinors
Relation between spinors and tensors; pure spinors
Twistors and the conformal group of Minkowski space
SO(8), parallelisms of the 7-sphere, triality

Assessment and permitted materials

Oral exam

Minimum requirements and assessment criteria

To deepen and broaden the knowledge about tensors and spinors (higher dimensions).

Examination topics

Standard lecture course

Reading list

Cartan 1966; Penrose&Rindler 1985/86

Association in the course directory

PD250,320

Last modified: Mo 07.09.2020 15:41