A Remark on Continuum Eigenfunctions of N-Body Schrödinger Operators

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Let H be a generalized N-body Schrödinger operator on IRn. We study exponential decay properties of polynomially bounded solutions to Schrödinger's equation Hu = λu, where λ lies in the negative essential spectrum of H, using Agmon's method. Our results show that such solutions decay exponentially outside an infinite, closed subset of n depending on λ and so represent bound clusters of particles. These results partially characterize negative energy continuum eigenfunctions of H.

Original languageEnglish
Pages (from-to)451-454
Number of pages4
JournalNorth-Holland Mathematics Studies
Issue numberC
StatePublished - Jan 1 1984

ASJC Scopus subject areas

  • General Mathematics


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