Regular propagators of bilinear quantum systems
From MaRDI portal
Publication:2286478
DOI10.1016/j.jfa.2019.108412OpenAlexW2991414379WikidataQ126671536 ScholiaQ126671536MaRDI QIDQ2286478
Marco Caponigro, Nabile Boussaid, Thomas Chambrion
Publication date: 22 January 2020
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1406.7847
Related Items
Compactness of Fixed Point Maps and the Ball-Marsden-Slemrod Conjecture ⋮ Local controllability of the bilinear 1D Schrödinger equation with simultaneous estimates ⋮ Small-time bilinear control of Schrödinger equations with application to rotating linear molecules ⋮ Small-time global approximate controllability of bilinear wave equations ⋮ Quadratic behaviors of the 1D linear Schrödinger equation with bilinear control ⋮ Small-time local controllability of the bilinear Schrödinger equation with a nonlinear competition ⋮ A remark on the attainable set of the Schrödinger equation ⋮ Approximately controllable finite-dimensional bilinear systems are controllable ⋮ A Topological Obstruction to the Controllability of Nonlinear Wave Equations with Bilinear Control Term ⋮ Classical and quantum controllability of a rotating asymmetric molecule
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Minimal time for the bilinear control of Schrödinger equations
- Local controllability of 1D linear and nonlinear Schrödinger equations with bilinear control
- Lyapunov control of a quantum particle in a decaying potential
- A construction of the fundamental solution for the Schrödinger equation
- Controllability for a class of nondiagonal hyperbolic distributed bilinear systems
- Differential systems involving impulses
- On systems of ordinary differential equations with measures as controls
- Impulsive control of Lagrangian systems and locomotion in fluids
- Global approximate controllability for Schrödinger equation in higher Sobolev norms and applications
- Controllability of the discrete-spectrum Schrödinger equation driven by an external field
- Growth of Sobolev norms and controllability of the Schrödinger equation
- Periodic excitations of bilinear quantum systems
- Graph completions for impulsive feedback controls
- A weak spectral condition for the controllability of the bilinear Schrödinger equation with application to the control of a rotating planar molecule
- Local controllability of 1D Schrödinger equations with bilinear control and minimal time
- Multi-input Schrödinger equation: controllability, tracking, and application to the quantum angular momentum
- Local controllability of a 1-D Schrödinger equation
- Integration of the equation of evolution in a Banach space
- A PDE Approach to Space-Time Fractional Parabolic Problems
- ON THE CONTINUITY PROPERTIES OF FUNCTIONS SATISFYING A CONDITION OF SIRVINT'S
- Dissipative Operators and Hyperbolic Systems of Partial Differential Equations
- Limitations on the control of Schrödinger equations
- Generic Controllability Properties for the Bilinear Schrödinger Equation
- Local Controllability of a One-Dimensional Beam Equation
- On the Spectrum of C 0 -Semigroups
- Shorter Notes: The Hahn Decomposition Theorem
- Controllability for Distributed Bilinear Systems
- Controllability of Quantum Harmonic Oscillators
- Weakly Coupled Systems in Quantum Control
- Shorter Notes: Some Operator Monotone Functions
- Probability theory. A comprehensive course
- \(C_0\)-groups, commutator methods and spectral theory of \(N\)-body Hamiltonians
- Mathematical models and methods for ab initio quantum chemistry
