Séminaire Jeunes chercheurs (Thaddeus Roussigné, jeudi 20 mars 2025)

La prochaine séance du séminaire Jeunes chercheurs du CEREMADE aura lieu le jeudi 20 mars 2025 à 17h en salle A707. Nous aurons le plaisir d'écouter Thaddeus Roussigné (CEREMADE), qui nous parlera de

Introduction to the hydrogen atom in quantum mechanics

Abstract
Quantum mechanics describes a system by an object known as its wave function. The wave function is governed by the system's Hamiltonian operator through a PDE known as the Schrödinger equation. This talk aims to introduce these quantum ideas through the fundamental case of the hydrogen atom. Specifically, I will discuss how the Schrodinger operator with Coulomb interaction allows atoms to be stable in our universe, and explains the different energy levels in hydrogen's emission spectrum. From a mathematical point of view, this follows from considerations in spectral theory and some functional analysis on the corresponding eigenfunctions.