Adiabatic and non-adiabatic evolution of wave packets and applications to initial value representations

  • Clotilde Fermanian Kammerer

    Université Paris-Est, France; Université Gustave Eiffel, Marne-la-Vallée, France
  • Caroline Lasser

    TU München, Garching, Germany
  • Didier Robert

    Université de Nantes, France
Adiabatic and non-adiabatic evolution of wave packets and applications to initial value representations cover
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Abstract

We review some recent results obtained for the time evolution of wave packets for systems of equations of pseudo-differential type, including Schrödinger ones, and discuss their application to the approximation of the associated unitary propagator. We start with scalar equations, propagation of coherent states, and applications to the Herman–Kluk approximation. Then we discuss the extension of these results to systems with eigenvalues of constant multiplicity or with smooth crossings.