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Perturbation of the semiclassical Schr\"odinger equation on negatively curved surfaces by Eswarathasan, Suresh; Riviere, Gabriel is a scholarly article available to read on EtoBox.

What is Perturbation of the semiclassical Schr\"odinger equation on negatively curved surfaces about?

We consider the semiclassical Schr\"odinger equation on a compact negatively curved surface. For any sequence of initial data microlocalized on the unit cotangent bundle, we look at the quantum evolution (below the Ehrenfest time) under small perturbations of the Schr\"odinger equation, and we prove that, in the semiclassical limit and for typical perturbations, the solutions become equidistributed on the unit cotangent bundle.

Author

Eswarathasan, Suresh; Riviere, Gabriel

Published

2014

Language

EN