Event time:
Monday, February 20, 2006 - 11:30am to 12:30pm
Location:
215 LOM
Speaker:
Fritz Gesztesy
Speaker affiliation:
University of Missouri
Event description:
We intend to 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 Schr"odinger operators.