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ON COMPLEX PERTURBATIONS OF INFINITE BAND SCHRÖDINGER OPERATORS
Language
en
Article de revue
This item was published in
Methods in functional analysis and topology. 2015, vol. 21, n° 3, p. 237-245
Institute of Mathematics NAS of Ukraine
English Abstract
Let H_0 = −d^2/dx^2 + V_0 be an infinite band Schrödinger operator on L^2(R) with a real-valued potential V_0 ∈ L^\infty (R). We study its complex perturbation H = H_0+V , defined in the form sense, and obtain the Lieb-Thirring ...Read more >
Let H_0 = −d^2/dx^2 + V_0 be an infinite band Schrödinger operator on L^2(R) with a real-valued potential V_0 ∈ L^\infty (R). We study its complex perturbation H = H_0+V , defined in the form sense, and obtain the Lieb-Thirring type inequalities for the rate of convergence of the discrete spectrum of H to the joint essential spectrum. The assumptions on V vary depending on the sign of Re V .Read less <
English Keywords
Schrödinger operator
infinite band spectrum
Lieb-Thirring type inequalities
relatively compact perturbation
Origin
Hal imported