Perturbations of the Schrodinger equation on negatively curved surfaces

Eswarathasan, Suresh and Riviere, Gabriel 2017. Perturbations of the Schrodinger equation on negatively curved surfaces. Journal of the Mathematical Institute of Jussieu 16 (4) , pp. 787-835. 10.1017/S1474748015000262

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Abstract

We consider the semiclassical Schrödinger 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 Schrödinger equation, and we prove that, in the semiclassical limit, and for typical perturbations, the solutions become equidistributed on the unit cotangent bundle.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	Cambridge University Press
Date of First Compliant Deposit:	30 March 2016
Date of Acceptance:	19 July 2015
Last Modified:	20 Nov 2023 04:05
URI:	https://orca.cardiff.ac.uk/id/eprint/86435

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