Universität Wien
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260183 VO Tensors, Spinors, Twistors and all that (2012W)

2.50 ECTS (2.00 SWS), SPL 26 - Physik

Details

Language: German

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Monday 08.10. 17:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Tuesday 09.10. 17:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Monday 15.10. 17:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Tuesday 16.10. 17:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Monday 22.10. 17:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Tuesday 23.10. 17:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Monday 29.10. 17:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Tuesday 30.10. 17:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Monday 05.11. 17:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Tuesday 06.11. 17:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Monday 12.11. 17:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Tuesday 13.11. 17:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Monday 19.11. 17:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Tuesday 20.11. 17:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Monday 26.11. 17:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Tuesday 27.11. 17:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Monday 03.12. 17:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Tuesday 04.12. 17:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Monday 10.12. 17:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Tuesday 11.12. 17:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Monday 17.12. 17:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Tuesday 18.12. 17:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Monday 07.01. 17:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Tuesday 08.01. 17:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Monday 14.01. 17:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Tuesday 15.01. 17:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Monday 21.01. 17:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Tuesday 22.01. 17:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Monday 28.01. 17:00 - 18:00 Kleiner Seminarraum, Zi.3510, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Tuesday 29.01. 17:00 - 18:00 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

MaV 4, PD250, PD320

Last modified: Mo 07.09.2020 15:41