Michael Loss
Optimal criteria for magnetic fields that bind electrons
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 e.g. I 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 inequality relates to sharp inequalities for spinors of which some more examples will be given.
Join Zoom Meeting
https://lmu-munich.zoom-x.de/j/69104956117?pwd=aPIDtJTtw2to8JrAK3qwmxvV3CVF1L.1
ID: 691 0495 6117
Code: 222608