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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.
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Contributor : Jacques Villain Connect in order to contact the contributor
Submitted on : Tuesday, June 16, 2009 - 7:46:34 PM
Last modification on : Tuesday, May 11, 2021 - 11:36:17 AM
Long-term archiving on: : Friday, June 11, 2010 - 12:51:38 AM


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



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



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