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Descripción
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| In this talk we shall present some results on the dynamics of solutions to semiclassical Schrödinger-type equations on the torus at time scales that tend to in?nity as the semiclassical parameter tends to zero. We are interested in characterizing the set of (time-dependent) semiclassical measures associated to sequences of solutions to these equations, and in particular how the structure of this set depends on the time scale. We show the existence of a threshold, below which the set of semiclassical measures contains all orbit measures associated to classical dynamics and above which all semiclassical measures are absolutely continuous in position variable. This is joint work with N Anantharaman and C. Fermanian-Kammerer. | |
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Internacional
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Si |
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ISSN o ISBN
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000000000 |
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Entidad relacionada
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Quantum chaos, resonances and semi-classical measures conference |
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Nacionalidad Entidad
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FRANCIA |
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Lugar del congreso
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Roscoff |