English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We consider solutions of the time-dependent Schr\"odinger equation for apotential localised at the points of a Poisson process. We prove convergence ofthe phase-space distribution in the annealed Boltzmann-Grad limit to asemiclassical Wigner (or defect) measure and show that it is a solution of thelinear Boltzmann equation. Our results hold for a large class ofsquare-integrable initial data associated to Wigner measures, includingLangragian states, WKB states and coherent states. This extends importantprevious work by Eng and Erd\H{o}s.

Schr\"odinger evolution in a low-density random potential: annealed  convergence to the linear Boltzmann equation for general semiclassical Wigner  measures