On the existence of eigenvalues of the Schrödinger operator H-λW in a gap of σ(H)

Percy A. Deift, Rainer Hempel

Research output: Contribution to journalArticle

Abstract

The authors prove a number of results asserting the existence of eigenvalues of the Schrödinger operator H-λW in a gap of σ(H), where H=-Δ+V and V and W are bounded. The existence of these eigenvalues is an important element in the theory of the colour of crystals. The basic theorems are proved in ℝv; stronger results for v=1 are also presented.

Original languageEnglish (US)
Pages (from-to)461-490
Number of pages30
JournalCommunications In Mathematical Physics
Volume103
Issue number3
DOIs
StatePublished - Sep 1986

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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