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SUMMARY:An introduction to deformation quantization
DTSTART:20251118T150000Z
DTEND:20251118T160000Z
DTSTAMP:20260504T083700Z
UID:indico-event-15542@indico.math.cnrs.fr
DESCRIPTION:Speakers: Ounéïs Gloton (IMB)\n\nClassical mechanics can be 
 formulated in the setting of symplectic geometry\, in which the algebra of
  observables of a physical system is the algebra of smooth functions on a 
 symplectic manifold. In particular\, the product of observables is a commu
 tative operation. An additional structure called the Poisson bracket makes
  it a Poisson algebra.\nIn quantum mechanics\, however\, this commutativit
 y is lost\, but the anticommutator gives a Poisson algebra structure\, whi
 ch is related to Poisson algebra of the classical system in a certain way 
 through "canonical quantization".\nThe approach of deformation quantizatio
 n is to see the quantum algebra as a deformation of the classical algebra 
 in the parameter of the Planck constant\, thus staying in the setting of s
 ymplectic geometry to treat quantum systems.\n\nhttps://indico.math.cnrs.f
 r/event/15542/
LOCATION:318
URL:https://indico.math.cnrs.fr/event/15542/
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