Quantum diffusion

Instantanés de recherche mathématique à Oberwolfach

Quantum diffusion

If you place a drop of ink into a glass of water, the ink will slowly dissipate into the surrounding water until it is perfectly mixed. If you record your experiment with a camera and play the film backwards, you will see something that is never observed in the real world. Such diffusive and irreversible behaviour is ubiquitous in nature. Nevertheless, the fundamental equations that describe the motion of individual particles — Newton’s and Schrödinger’s equations — are reversible in time: a film depicting the motion of just a few particles looks as realistic when played forwards as when played backwards.
In this snapshot, we discuss how one may try to understand the origin of diffusion starting from the fundamental laws of quantum mechanics.

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Sujet mathématique

Analyse
Théorie des probabilités et statistique

Liens avec d'autres domaines

Physique

Auteur(s)

Antti Knowles
Senior Editor:
Carla Cederbaum
Junior Editor:
Sabiha Tokus

Licence

DOI

10.14760/SNAP-2015-014-EN

Télécharger PDF

PDF

snapshots: overview

Sujet mathématique

Algèbre et théorie des nombres
Analyse
Pédagogie et éducation
Mathématiques discrètes et fondements des mathématiques
Géométrie et Topologie
Calcul numérique et calcul scientifique
Théorie des probabilités et statistique

Liens avec d'autres domaines

Chimie et sciences de la terre
Informatique
Ingénierie et technologie
Finances
Humanités et sciences sociales
Sciences de la vie
Physique
Pensées mathématiques

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