Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Symétrie et théorie des groupes à travers la physique

Abstract : Physical properties of matter are tightly related with the kind of symmetry of the medium. Group theory is a systematic tool, though not always easy to handle, to exploit symmetry properties, for instance to find the eigenvectors and eigenvalues of an operator. Certain properties (optical activity, piezoelectricity...) are forbidden in molecules or crystals of high symmetry. A few theorems (Noether, Goldstone...) establish general relations between physical properties and symmetry. Applications of group theory to condensed matter physics, elementary particle physics, quantum mechanics, electromagnetism are reviewed. Group theory is not only a tool, but also a beautiful construction which casts insight into natural phenomena.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

Cited literature [24 references]  Display  Hide  Download

https://hal-cea.archives-ouvertes.fr/cea-00396043
Contributor : Jacques Villain <>
Submitted on : Tuesday, June 16, 2009 - 7:46:34 PM
Last modification on : Friday, July 10, 2020 - 7:58:44 AM
Long-term archiving on: : Friday, June 11, 2010 - 12:51:38 AM

Files

gpejuin16.teX.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : cea-00396043, version 1
  • ARXIV : 0906.3595

Collections

Citation

Jacques Villain. Symétrie et théorie des groupes à travers la physique. 2009. ⟨cea-00396043⟩

Share

Metrics

Record views

255

Files downloads

10658