Séminaire des Doctorants et Doctorantes

Qu'est-ce que la quantification ?

by Denis Perice


The goal of this talk is to give a very brief introduction to quantum mechanics from a mathematician perspective by answering the question: what is quantization? Or more explicitly: how does one go from a classical theory of mechanics to a quantum one? We will start by some classical mechanics context and then discuss what axioms a quantum theory should satisfies with a focus on observables (intuitively: quantities that can be observed in a physics laboratory). Finally we will give one possible answer to the question by introducing the Wigner-Weyl transform.