The interaction representation and nonadiabatic corrections to adiabatic evolution operators

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Abstract

This paper presents a new approach to operator resummation corrections to adiabatic evolution operators. It is shown that an infinite order correction produces an operator that is equivalent to a propagator in the interaction representation. For a problem in which the adiabatic approximation assumes that certain degrees of freedom are held fixed, the interaction representation correction is just the interaction propagator of the coupling for these degrees of freedom. This formulation allows simple physical interpretation and simple mathematical evaluation of the full correction. No power series or cumulant methods are needed. Application to double well splitting when coupled to a bath oscillator shows the approach to be highly accurate.

Original languageEnglish (US)
Pages (from-to)1394-1398
Number of pages5
JournalJournal of Chemical Physics
Volume104
Issue number4
DOIs
StatePublished - Jan 1 1996

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ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

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