University of Toronto
                  PDE/Applied Math/Analysis Seminar
                    Friday 29 September, 12:10-1:00pm
                          2195 Bahen Center      



SPEAKER:  Walid Abou Salem

TITLE:    Adiabatic theorems for quantum resonances

ABSTRACT: I discuss mathematically rigorous results on studying the 
	  adiabatic time evolution of quantum resonances over time scales 
	  which are small compared to the lifetime of the resonances. 
	  Three generic cases are studied: The first one is that of shape 
	  resonances corresponding, for example, to the state of a 
	  quantum-mechanical particle in a potential well whose shape 
	  changes over time scales small compared to the escape time of 
	  the particle from the well. The second example concerns 
	  resonances that appear as isolated complex eigenvalues of 
	  spectrally deformed Hamiltonians. The third example concerns
	  resonances arising from eigenvalues embedded in the continuous 
	  spectrum when a perturbation is turned on, such as those 
	  encountered when a small quantum system is coupled to an 
	  infinitely extended, dispersive field. (The results presented 
	  in this talk are based on recent joint work with Juerg Froehlich, 
	  preprint [math-ph/0607054], accepted for publication in CMP.)


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University of Toronto PDE/Applied Math/Analysis Seminar 
http://www.math.toronto.edu/appmath/

2006-2007 organizers:
          Pieter Blue           pblue@ math.toronto.edu
          Almut Burchard        almut@ math.toronto.edu
          Robert McCann		mccann@ math.toronto.edu
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