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):
Control of fractional in-time Schrodinger equations via comprehensive Caputo derivative strategies
Luis Caicedo Torres and Ciprian G. GalEvolution Equations and Control Theory (2024)
https://doi.org/10.3934/eect.2024028
Enhancing quantum exchanges between two oscillators
Q. Ansel, A. D. Chepelianskii and J. LagesPhysical Review A 107 (4) (2023)
https://doi.org/10.1103/PhysRevA.107.042609
Existence of unattainable states for Schrödinger type flows on the half-line
Türker Özsarı and Konstantinos KalimerisIMA Journal of Mathematical Control and Information 40 (4) 789 (2023)
https://doi.org/10.1093/imamci/dnad032
Variational functionals for the driven quantum harmonic oscillator
G. Devillanova, G. Florio and F. MaddalenaComplex Variables and Elliptic Equations 66 (2) 312 (2021)
https://doi.org/10.1080/17476933.2020.1720006
Regular propagators of bilinear quantum systems
Nabile Boussaïd, Marco Caponigro and Thomas ChambrionJournal of Functional Analysis 278 (6) 108412 (2020)
https://doi.org/10.1016/j.jfa.2019.108412
On the bilinear control of the Gross-Pitaevskii equation
Thomas Chambrion and Laurent ThomannAnnales de l'Institut Henri Poincaré C, Analyse non linéaire 37 (3) 605 (2020)
https://doi.org/10.1016/j.anihpc.2020.01.001
4971 (2019)
https://doi.org/10.1109/CDC40024.2019.9029511
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)
https://doi.org/10.1016/j.matpur.2017.11.001
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)
https://doi.org/10.1137/140951618
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)
https://doi.org/10.1007/s00220-014-2195-6
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)
https://doi.org/10.1051/cocv/2013052
Local controllability of 1D Schrödinger equations with bilinear control and minimal time
Karine Beauchard and Morgan MoranceyMathematical Control & Related Fields 4 (2) 125 (2014)
https://doi.org/10.3934/mcrf.2014.4.125
Weakly Coupled Systems in Quantum Control
Nabile Boussaid, Marco Caponigro and Thomas ChambrionIEEE Transactions on Automatic Control 58 (9) 2205 (2013)
https://doi.org/10.1109/TAC.2013.2255948
5825 (2012)
https://doi.org/10.1109/ACC.2012.6315502
Controllability of the cubic Schroedinger equation via a low-dimensional source term
Andrey SarychevMathematical Control & Related Fields 2 (3) 247 (2012)
https://doi.org/10.3934/mcrf.2012.2.247
Local controllability and non-controllability for a 1D wave equation with bilinear control
Karine BeauchardJournal of Differential Equations 250 (4) 2064 (2011)
https://doi.org/10.1016/j.jde.2010.10.008
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)
https://doi.org/10.1088/1751-8113/44/13/135302
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)
https://doi.org/10.1142/S0218202510004933
Finite Controllability of Infinite-Dimensional Quantum Systems
Anthony M. Bloch, Roger W. Brockett and Chitra RanganIEEE Transactions on Automatic Control 55 (8) 1797 (2010)
https://doi.org/10.1109/TAC.2010.2044273
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)
https://doi.org/10.1016/j.matpur.2010.04.001
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)
https://doi.org/10.1137/070709578
Exact boundary controllability of the nonlinear Schrödinger equation
Lionel Rosier and Bing-Yu ZhangJournal of Differential Equations 246 (10) 4129 (2009)
https://doi.org/10.1016/j.jde.2008.11.004
Controllablity of a quantum particle in a 1D variable domain
Karine BeauchardESAIM: Control, Optimisation and Calculus of Variations 14 (1) 105 (2008)
https://doi.org/10.1051/cocv:2007047
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)
https://doi.org/10.1002/mma.849