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- W1650271640 abstract "We study solutions of the time dependent Schrodinger equation on Riemannian manifolds with oscillatory initial conditions given by Lagrangian states. Semiclassical approximations describe these solutions for small h (where h is the semiclassical parameter), but their accuracy for large times is in general only understood up to the Ehrenfest time T ~ ln(1/h), and the most difficult case is the one where the underlying classical system is chaotic. We show that on surfaces of constant negative curvature semiclassical approximations remain accurate for times at least up to T ~ h^(-1/2) in the case that the Lagrangian state is associated with an unstable manifold of the geodesic flow." @default.
- W1650271640 created "2016-06-24" @default.
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- W1650271640 date "2007-05-01" @default.
- W1650271640 modified "2023-09-27" @default.
- W1650271640 title "Semiclassical wave propagation for large times" @default.
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