Estimates on the Spectrum of SCHRÖDINGER Operators with Attractive Boundary Conditions

Estimates on the Spectrum of SCHRÖDINGER Operators with Attractive Boundary Conditions

Estimates for the infimum of the spectrum of the Schrödinger operator HQu = ‐ Δu at a half space with boundary condition un = Qu (with un denoting the inner normal derivative of u, and Q being a real‐valued function defined at the boundary), and for the number resp. density of surface states of HQ,...

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Veröffentlicht in:Mathematische Nachrichten 1989, Vol.142 (1), p.125-134
1. Verfasser: Schröder, Manfred
Format: Artikel
Sprache:eng
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Zusammenfassung:Estimates for the infimum of the spectrum of the Schrödinger operator HQu = ‐ Δu at a half space with boundary condition un = Qu (with un denoting the inner normal derivative of u, and Q being a real‐valued function defined at the boundary), and for the number resp. density of surface states of HQ, are presented.
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.19891420108