Limitations on the control of Schrödinger equations
ESAIM: COCV, 12 4 (2006) 615-635
Published online: 2006-10-11
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Nonhomogeneous boundary-value problems for one-dimensional nonlinear Schrödinger equations
Jerry L. Bona, Shu-Ming Sun and Bing-Yu ZhangJournal de Mathématiques Pures et Appliquées (2017)
DOI: 10.1016/j.matpur.2017.11.001
See this article
Local controllability and non-controllability for a 1D wave equation with bilinear control
Karine BeauchardJournal of Differential Equations 250 (4) 2064 (2011)
DOI: 10.1016/j.jde.2010.10.008
See this article
Local controllability of 1D Schrödinger equations with bilinear control and minimal time
Morgan Morancey and Karine BeauchardMathematical Control and Related Fields 4 (2) 125 (2014)
DOI: 10.3934/mcrf.2014.4.125
See this article
Controllablity of a quantum particle in a 1D variable domain
Karine BeauchardESAIM: Control, Optimisation and Calculus of Variations 14 (1) 105 (2008)
DOI: 10.1051/cocv:2007047
See this article
Finite Controllability of Infinite-Dimensional Quantum Systems
Anthony M. Bloch, Roger W. Brockett and Chitra RanganIEEE Transactions on Automatic Control 55 (8) 1797 (2010)
DOI: 10.1109/TAC.2010.2044273
See this article
Local Exact Controllability of a One-Dimensional Nonlinear Schrödinger Equation
Karine Beauchard, Horst Lange and Holger TeismannSIAM Journal on Control and Optimization 53 (5) 2781 (2015)
DOI: 10.1137/140951618
See this article
Approximate Controllability, Exact Controllability, and Conical Eigenvalue Intersections for Quantum Mechanical Systems
Ugo Boscain, Jean-Paul Gauthier, Francesco Rossi and Mario SigalottiCommunications in Mathematical Physics 333 (3) 1225 (2015)
DOI: 10.1007/s00220-014-2195-6
See this article
Controllability of the cubic Schroedinger equation via a low-dimensional source term
Andrey SarychevMathematical Control and Related Fields 2 (3) 247 (2012)
DOI: 10.3934/mcrf.2012.2.247
See this article
Local controllability of 1D linear and nonlinear Schrödinger equations with bilinear control
Karine Beauchard and Camille LaurentJournal de Mathématiques Pures et Appliquées 94 (5) 520 (2010)
DOI: 10.1016/j.matpur.2010.04.001
See this article
Controllability of Schrödinger equation with a nonlocal term
Mariano De Leo, Constanza Sánchez Fernández de la Vega and Diego RialESAIM: Control, Optimisation and Calculus of Variations 20 (1) 23 (2014)
DOI: 10.1051/cocv/2013052
See this article
Weakly Coupled Systems in Quantum Control
Nabile Boussaid, Marco Caponigro and Thomas ChambrionIEEE Transactions on Automatic Control 58 (9) 2205 (2013)
DOI: 10.1109/TAC.2013.2255948
See this article
Local Exact Controllability and Stabilizability of the Nonlinear Schrödinger Equation on a Bounded Interval
Lionel Rosier and Bing-Yu ZhangSIAM Journal on Control and Optimization 48 (2) 972 (2009)
DOI: 10.1137/070709578
See this article
CONTROL AND STABILIZATION OF THE NONLINEAR SCHRÖDINGER EQUATION ON RECTANGLES
LIONEL ROSIER and BING-YU ZHANGMathematical Models and Methods in Applied Sciences 20 (12) 2293 (2010)
DOI: 10.1142/S0218202510004933
See this article
Exact boundary controllability of the nonlinear Schrödinger equation
Lionel Rosier and Bing-Yu ZhangJournal of Differential Equations 246 (10) 4129 (2009)
DOI: 10.1016/j.jde.2008.11.004
See this article
On the problem of quantum control in infinite dimensions
R Vilela Mendes and Vladimir I Man'koJournal of Physics A: Mathematical and Theoretical 44 (13) 135302 (2011)
DOI: 10.1088/1751-8113/44/13/135302
See this article
Controllability of the nonlinear Schrödinger equation in the vicinity of the ground state
H. Lange and H. TeismannMathematical Methods in the Applied Sciences 30 (13) 1483 (2007)
DOI: 10.1002/mma.849
See this article