Estimates on the Spectrum of S CHRÖDINGER  Operators with Attractive Boundary Conditions | Zendy

Schröder Manfred | Zendy

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Estimates on the Spectrum of S CHRÖDINGER Operators with Attractive Boundary Conditions

Author(s) -

Schröder Manfred

Publication year - 1989

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.19891420108

Subject(s) - infimum and supremum , mathematics , spectrum (functional analysis) , operator (biology) , boundary (topology) , mathematical analysis , function (biology) , directional derivative , schrödinger's cat , boundary value problem , space (punctuation) , mathematical physics , quantum mechanics , physics , chemistry , biochemistry , linguistics , philosophy , repressor , evolutionary biology , biology , transcription factor , gene

Estimates for the infimum of the spectrum of the Schrödinger operator H Qu = ‐ Δ u at a half space with boundary condition u n = Q u (with u n 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 H Q , are presented.

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