Refined Cauchy/Littlewood Identities and Their Applications to KPZ Models
By Takashi Imamura
Fredrickson-Andersen $2$-spin Facilitated Model: Sharp Threshold
By Cristina Toninelli
Appears in collection : Giuseppe Dito: "Mathematical Aspects of Quantum Mechanics"
The aim of this mini-course is to provide an introduction to a few topics in functional analysis relevant to Quantum Mechanics. We shall cover the basic theory of unbounded operators on a Hilbert space, and expose the main ideas of the theory of self-adjoint extensions of symmetric operators via well-chosen examples of physical interest.