Journal of Mathematical Chemistry

, Volume 50, Issue 3, pp 620–635 | Cite as

Single switch surface hopping for molecular quantum dynamics

  • Clotilde Fermanian-Kammerer
  • Caroline Lasser
Original Paper


The aim of this text is to present a surface hopping approximation for molecular quantum dynamics obeying a Schrödinger equation with crossing eigenvalue surfaces. After motivating Schrödinger equations with matrix valued potentials, we describe the single switch algorithm and present some numerical results. Then we discuss the algorithm’s mathematical justification and describe extensions to more general situations, where three eigenvalue surfaces intersect or the eigenvalues are of multiplicity two. We emphasize the generality of this surface hopping approximation for non-adiabatic transitions.


Molecular dynamics Conical intersections Surface hopping 


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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.LAMA UMR CNRS 8050Université Paris ESTCréteil CedexFrance
  2. 2.Technische Universität MünchenGarchingGermany

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