Ontology type: schema:Chapter
2012
AUTHORS ABSTRACTWe prove convergence of the Wigner transforms of solutions to the Schrödinger equation, in a semiclassical limit, to solutions to the Liouville equation. We are able to include in our convergence result rough or singular potentials (with Coulomb repulsive singularities), provided convergence is understood for “almost all” initial data. The rigorous statement involves a suitable extension of the DiPerna–Lions theory to the infinite-dimensional space of probability measure, where both the Wigner and the Liouville dynamics can be read. More... »
PAGES1-11
Nonlinear Partial Differential Equations
ISBN
978-3-642-25360-7
978-3-642-25361-4
http://scigraph.springernature.com/pub.10.1007/978-3-642-25361-4_1
DOIhttp://dx.doi.org/10.1007/978-3-642-25361-4_1
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