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Pollution-free methods for finding eigenvalues in the gaps of the continuous spectrum

Presented by: 
M Levitin [Heriot-Watt]
Date: 
Wednesday 23rd May 2007 - 11:00 to 12:00
Venue: 
INI Seminar Room 1
Abstract: 

We describe a universal non-variational approach allowing to find numerically the eigenvalues of a self-adjoint operator in the gaps of essential spectrum. The method does not produce spurious eigenvalues and gives two-sided a posteriori error estimates. As an illustration, we discuss a periodic Schroedinger operator perturbed by a compact potential.

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