A strong operator topology adiabatic theorem

Alexander Elgart, Jeffrey H. Schenker

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We prove an adiabatic theorem for the evolution of spectral data under a weak additive perturbation in the context of a system without an intrinsic time scale. For continuous functions of the unperturbed Hamiltonian the convergence is in norm while for a larger class functions, including the spectral projections associated to embedded eigenvalues, the convergence is in the strong operator topology.

Original languageEnglish
Pages (from-to)569-584
Number of pages16
JournalReviews in Mathematical Physics
Issue number6
StatePublished - 1 Jun 2002
Externally publishedYes


  • Adiabatic evolution
  • Quantum theory
  • Spectral theory

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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