Minimal time for the approximate bilinear control of Schrödinger equations-Reference-Cited by-同舟云学术

Minimal time for the approximate bilinear control of Schrödinger equations

Published:2018-01-09 Issue:5 Volume:41 Page:1831-1844
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Meth Appl Sci

Author:

Beauchard Karine¹,Coron Jean‐Michel²,Teismann Holger³^ORCID

Affiliation:

1. Université Rennes, CNRS, IRMAR ‐ UMR 6625 F‐35000 Rennes France

2. Sorbonne Universités, UPMC Univ. Paris 06, UMR 7598Laboratoire Jacques‐Louis Lions F‐75005 Paris, France, and ETH‐ITS, Clausiusstrasse 47, 8092 Zürich Switzerland

3. Department of Mathematics and StatisticsAcadia University Wolfville, NS Canada

Funder

Natural Sciences and Engineering Research Council of Canada

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.4710

Reference11 articles.

1. A construction of the fundamental solution for the Schrödinger equation

2. Nonlinear Schrödinger equation with time dependent potential;Carles R;Commun Math Sci,2011

3. Controllability of the discrete‐spectrum Schrödinger equation driven by an external field;Chambrion T;Ann Inst H Poincaré Anal Non Linéaire,2009

4. A weak spectral condition for the controllability of the bilinear Schrödinger equation with application to the control of a rotating planar molecule;Boscain U;Comm Math Phys,2012

5. Multi‐input Schrödinger equation: controllability, tracking, and application to the quantum angular momentum;Boscain U;J Differ Equ,2014

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