FRUMAM

Fédération de Recherche des Unités de Mathématiques de Marseille – FR2291

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COLLOQUIUM

5 avril/16 h 00 min - 17 h 00 min

Chères et chers collègues,
 
Le prochain Colloquium de Mathématiques de la FRUMAM aura lieu ce vendredi 5 avril de 16h à 17h dans la salle de séminaire au deuxième étage de la FRUMAM. Nous y aurons le plaisir d’écouter Yves Pomeau nous parler du sujet dont le titre et le résumé suivent.
Céline, Charles et Raphaël

 

 

 

 Quantum mechanics and statistical physics

Even though quantum mechanics (QM) is usually introduced as a fundamentally statistical theory it has attracted over the years a moderate attention of the scientists in the field of statistical theories, be they mathematicians or physicists. The ever lingering philosophical discussions on interpretation of QM witness a status of uncertainty of its understanding. Following the plan of our joint book with Minh-Binh Tran on “The statistical physics of non equilibrium quantum phenomena” (Springer) I shall explain first how to put the random emission of photons by an atom in an excited state into a correct statistical framework based on Kolmogorov equation for random process, based on the shortness of the duration of the emission process or “quantum jump”. In a second part I shall explain the dynamics of a typically quantum process, the condensation of atoms of a Bose gas in the ground state of lowest energy. This is explained by a finite time blow up of solutions of the Boltzmann-Nordheim kinetic equation. This blow up, contrary to some expectations, is described by a singularity of the second kind in the sense of Zeldovich. I will explain also how to describe what happens after blow-up.

Détails

Date :
5 avril
Heure :
16 h 00 min - 17 h 00 min

Organisateurs

Céline Lacaux
Raphael Beuzart-Plessis
Charles Bordenave