Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg


Oberseminar Differentialgeometrie


Professor Dr. Klaus Richter
Universität Regensburg

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

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

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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