Hopping and jumping between potential energy surfaces

E. J. Heller, Bilha Segev, A. V. Sergeev

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


Novel approaches to surface hopping (in the case in which surfaces cross in classically allowed regions) and surface "jumping" (in cases in which they never cross or they cross in classically forbidden regions) are discussed. Classically forbidden transitions necessarily involve discontinuous "jumps" in position or momentum or both (but so as to preserve energy). In general, the jumps are discontinuous changes in nuclear positions or momenta on the time scale of the electronic transition. After reviewing various approaches in one dimension, a phase-space approach is applied to multidimensional systems with large energy gaps, in which the traditional semiclassical approaches are more difficult to apply. The concept of jumps extends the spirit of surface hopping into new regimes.

Original languageEnglish
Pages (from-to)8471-8478
Number of pages8
JournalJournal of Physical Chemistry B
Issue number33
StatePublished - 22 Aug 2002

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry
  • Surfaces, Coatings and Films
  • Materials Chemistry


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