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On Approximation of the Eigenvalues of Perturbed Periodic Schrodinger Operators

Presented by: 
L Boulton [Edinburgh]
Date: 
Thursday 29th March 2007 - 10:30 to 11:30
Venue: 
INI Seminar Room 2
Abstract: 

In this talk we will address the problem of computing the eigenvalues lying in the gaps of the essential spectrum of a periodic Schrodinger operator perturbed by a fast decreasing potential. We will discuss a geometrically motivated technique, the so called quadratic projection method, in order to achieve convergence free from spectral pollution. The theoretical foundations of the method will be described in detail, and its effectiveness will be illustrated by several examples.

University of Cambridge Research Councils UK
    Clay Mathematics Institute The Leverhulme Trust London Mathematical Society Microsoft Research NM Rothschild and Sons