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
 
um
 
16:00 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Semiclassical quantisation rules for the Dirac and Pauli equations«

Abstract:
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).



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