Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems IV

P. Deift, W. Hunziker, B. Simon, E. Vock

Research output: Contribution to journalArticle

Abstract

We describe several new techniques for obtaining detailed information on the exponential falloff of discrete eigenfunctions of N-body Schrödinger operators. An example of a new result is the bound (conjectured by Morgan) {Mathematical expression} for an eigenfunction ω of {Mathematical expression} with energy EN. In this bound r1r2... rN are the radii |xi| in increasing order and the α's are restricted by αn<(En-1-En)1/2, where En, for n=0, 1,..., N-1, is the lowest energy of the system described by Hn. Our methods include subharmonic comparison theorems and "geometric spectral analysis".

Original languageEnglish (US)
Pages (from-to)1-34
Number of pages34
JournalCommunications In Mathematical Physics
Volume64
Issue number1
DOIs
StatePublished - Dec 1 1978

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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