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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.