On complex perturbations of infinite band Schrodinger operators

2015/02/20 by Leonid Golinskiĭ, Golinskii, L., Stanislas Kupin +1 · 1 citation
Mathematics · #Spectral Theory in Mathematical Physics #Differential Equations and Boundary Problems #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1502.06022

Abstract

We study a complex perturbation of a self-adjoint infinite band Schrodinger operator (defined in the form sense), and obtain the Lieb--Thirring type inequalities for the rate of convergence of the discrete spectrum of the perturbed operator to the joint essential spectrum of both operators.

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