具有连续谱的近似可控结果:偶极相互作用的莫尔斯势

SIAM Conf. on Control and its Applications Pub Date : 2015-07-08 DOI:10.1137/1.9781611974072.62

N. Boussaid, M. Caponigro, T. Chambrion

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引用次数: 1

摘要

本文给出了一个模拟化学键的双线性量子系统的正近似可控性结果。主要的困难是由于不受控制的哈密顿量(由莫尔斯势建模)的连续谱部分和相互作用势(偶极相互作用)的无界性的存在。该证明是基于平均技术和谱分析。

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An approximate controllability result with continuous spectrum: the Morse potential with dipolar interaction

This note presents a positive approximate controllability result for a bilinear quantum system modeling a chemical bond. The main difficulties are due to the presence of a continuous spectrum part for the uncontrolled Hamiltonian (modeled by a Morse potential) and the unboundedness of the interaction potential (dipolar interaction). The proof is based on averaging technique and spectral analysis.

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SIAM Conf. on Control and its Applications

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