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DTSTART;TZID=Europe/Berlin:20250715T163000
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DTSTAMP:20260504T031742
CREATED:20250707T132940Z
LAST-MODIFIED:20250904T091423Z
UID:10000104-1752597000-1752597000@www.trr352.de
SUMMARY:Optimal criteria for magnetic fields that bind electrons
DESCRIPTION: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.\nIn 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.
URL:https://www.trr352.de/event/optimal-criteria-for-magnetic-fields-that-bind-electrons/
LOCATION:Room A 027\, Theresienstr. 37\, Munich\, 80333\, Germany
CATEGORIES:Colloquia
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