MaPhySto - event 43

Mathematical Physics Seminar

Tuesday, 5 August 2003, at 15:00 in Kol. G, University of Aarhus

Ira W. Herbst

Department of Mathematics, University of Virginia, Charlottesville, VA 22903, USA

Absence of quantum states corresponding to unstable classical channels

Abstract
Consider the example of a classical system with electric or magnetic field homogeneous of degree -1. Generically there will be a finite number of directions in space in which a particle can move freely to infinity. These orbits can be stable or unstable depending on the behavior of the linearized equations. In a framework which generalizes these examples, we show that there are no quantum states corresponding to unstable classical channels. This is joint work with Erik Skibsted.

Contact person:Arne Jensen.