Colloque

Intervenant :

**LOSS Michael (Georgia Institute of Technology)**

Titre :

**Optimal criteria for magnetic fields that bind electrons**

Le :

**30/05/2022**de :

**14:30**à :

**15:30**

**This talk will provide a basic introduction to the three dimensional Dirac equation that describes an electron interacting with a magnetic field. Over the years a lot of work has gone into constructing zero energy solutions, also known as zero modes, for said equation. In this talk I will explain the importance of zero modes and will show how they relate to the stability of the hydrogen atom. After presenting explicit examples, I will state necessary conditions for the magnetic field so that zero modes exist. Here, of particular interest is a sharp inequality that is optimized by a magnetic field whose field lines are interlinking circles. This pattern results from pulling back the Hopf fibration on the three sphere to three dimensional space using the stereographic projection.**

Salle :

**A709**