Absence of singular continuous spectrum in n-body quantum systems

P. Perry, I. M. Sigal, B. Simon

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


For a large class of potentials including arbitrary bounded potentials with r- 2-Єfalloff and also allowing suitable local singularities and slower falloff, we demonstrate that the singular continuous spectrum of N- body quantum Hamiltonians is empty. We accomplish this by extending Mourre’s work on three body problems to N-bodies.

Original languageEnglish
Pages (from-to)1019-1024
Number of pages6
JournalBulletin of the American Mathematical Society
Issue number3
StatePublished - Nov 1980

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


Dive into the research topics of 'Absence of singular continuous spectrum in n-body quantum systems'. Together they form a unique fingerprint.

Cite this