Smooth adiabatic evolutions with leaky power tails

J. E. Avron, A. Elgart

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Adiabatic evolutions with a gap condition have, under a range of circumstances, exponentially small tails that describe the leaking out of the spectral subspace. In general, adiabatic evolutions without a gap condition do not seem to have this feature. This is a known fact for eigenvalue crossing. We show that this is also the case for eigenvalues at the threshold of the continuous spectrum by considering the Friedrichs model.

Original languageEnglish
Pages (from-to)L537-L546
JournalJournal of Physics A: Mathematical and General
Issue number50
StatePublished - 17 Dec 1999
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy


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