DiscoverAnalysis on Graphs and its ApplicationsPollution-free methods for finding eigenvalues in the gaps of the continuous spectrum
Pollution-free methods for finding eigenvalues in the gaps of the continuous spectrum

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

Update: 2022-01-30
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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.
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Pollution-free methods for finding eigenvalues in the gaps of the continuous spectrum

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

Peter Dubec