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Mathematics Colloquium

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Date:  Tuesday, April 11, 2006

Title:  Applications of Modified Fredholm Determinants

Abstract:  We recall that several familiar objects in applied and mathematical physics, such as Jost functions, Floquet discriminants, and Evans functions, are actually modified Fredholm determinants associated with appropriate Birman-Schwinger-type integral operators. We will describe an abstract perturbation approach (essentially due to Kato) and some elements of the Birman-Schwinger principle in connection with non-self-adjoint operators in Hilbert space, and then discuss some recent applications to spectral and scattering theory in connection with two- and three-dimensional Schrodinger operators.


Speaker:  Fritz Gesztesy
Institution:  University of Missouri-Columbia

 

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