Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Oberseminar Differentialgeometrie

 

Professor Dr. Klaus Richter
Universität Regensburg

 
spricht am
 
Montag, 11. Juli 2022
 
um
 
15:45 Uhr
 
im
 
2004/L1 und Zoom (hybride Veranstaltung)
 
über das Thema:
 

»100 years of semiclassical quantization of helium: old, new and new old quantum theory«

Abstract:
It is about 100 years ago that many eminent physicists around Bohr had failed to generalize Bohr’s successful quantization of the hydrogen problem to the next simplest atom, helium. This led to a crisis of this old quantum “theory”, followed by the birth of the then new quantum theory: quantum mechanics a la Schrödinger and Heisenberg. Based on advances in semiclassical theory of quantum systems with a classically chaotic limit it was eventually possible to develop a semiclassical periodic-orbit theory for the spectrum of the helium atom. While being conceptually simple, helium as a fundamental three-body Coulomb problem however shows a highly complex spectral structure, reflecting a complicated symplectic phase space structure of its classical counterpart, the classical three-body problem. In the first part of my talk I will outline the development towards a new old quantum theory for the helium atom, based on advanced semiclassical methods from quantum chaos theory. In the second part I will consider quantization of chaotic Hamiltonian dynamics more generally and focus on the particular role (in quantum chaos) of braided classical trajectory bundles as a structural element of symplectic dynamics.

If you want to take part via Zoom please ask Prof. Frauenfelder for­ login details: Urs.Frauenfelder@math.uni-augsburg.de


 

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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