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Schrödinger operators with concentric δ-shells
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Cambridge : arXiv
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Abstract
We investigate the spectral properties of the Schrödinger operators in L2(Rn) with a singular interaction supported by an infinite family of concentric spheres HR,α=−Δ+∑k=1∞αkδ(|x|−rk). We obtain necessary and sufficient conditions for the operator HR,α to be self-adjoint, lower-semibounded. Also we investigate the spectral types of HR,α.
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This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.