Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg


Oberseminar Differentialgeometrie


Dr. Stefan Keppeler
Universität Tübingen

spricht am
Montag, 11. November 2019
16:00 Uhr
Raum 2004 (L1)
über das Thema:

»Semiclassical quantisation rules for the Dirac and Pauli equations«

We derive explicit semiclassical quantisation conditions for the Dirac and Pauli equations. We show that the spin degree of freedom yields a contribution, deriving from a non-Abelian geometric phase, which is of the same order of magnitude as the Maslov correction in Einstein-Brillouin-Keller quantisation. In order to obtain this result a generalisation of the notion of integrability for a certain skew product flow of classical translational dynamics and classical spin precession has to be derived. As an example we discuss the relativistic Kepler problem with Thomas precession, whose treatment sheds some light on the surprising success of Sommerfeld's theory of fine structure. The approach generalises to other multi-component wave equations.


Hierzu ergeht herzliche Einladung.
Prof. Dr. Urs Frauenfelder

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).

[Impressum]      [Datenschutz],     Mi 30-Okt-2019 13:50:25 MEZ