Lyapunov control of a quantum particle in a decaying potential
type: Distribution
access URL: https://inria.hal.science/hal-00793568
format: HTML
issued: 2026-05-14T05:22:33.704233
modified: 2026-05-14T05:22:33.682030

Lyapunov control of a quantum particle in a decaying potential
type: Dataset
contact point: Organization
  fn: CCSD
keyword: infoeu-reposemanticsarticle
keyword: lyapunov-techniques
keyword: dispersive-estimates
keyword: pre-compactness
keyword: approximate-stabilization
keyword: nonlinear-control-of-pdes
keyword: journal-articles
landing page: 0294-1449
description: A Lyapunov-based approach for the trajectory generation of an N-dimensional Schrödinger equation in whole RN is proposed. For the case of a quantum particle in an N-dimensional decaying potential the convergence is precisely analyzed. The free system admitting a mixed spectrum, the dispersion through the absolutely continuous part is the main obstacle to ensure such a stabilization result. Whenever, the system is completely initialized in the discrete part of the spectrum, a Lyapunov strategy encoding both the distance with respect to the target state and the penalization of the passage through the continuous part of the spectrum, ensures the approximate stabilization.
issued: 2026-05-14T05:22:33.695383
language: en
modified: 2026-05-14T05:22:33.695389

test_moissonnage_selune
type: Agent