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Article Dans Une Revue Journal of Mathematical Chemistry Année : 2014

On the control by electromagnetic fields of quantum systems with infinite dimensional Hilbert space

Résumé

We analyze the control by electromagnetic fields of quantum systems with infinite dimensional Hilbert space and a discrete spectrum. Based on recent mathematical results, we rigorously show under which conditions such a system can be approximated in a finite dimensional Hilbert space. For a given threshold error, we estimate this finite dimension in terms of the used control field. As illustrative examples, we consider the cases of a rigid rotor and of a harmonic oscillator.
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hal-01094223 , version 1 (11-12-2014)

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Paternité - Pas d'utilisation commerciale

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Elie Assémat, Thomas Chambrion, Dominique Sugny. On the control by electromagnetic fields of quantum systems with infinite dimensional Hilbert space. Journal of Mathematical Chemistry, 2014, 53 (1), pp.374-385. ⟨10.1007/s10910-014-0429-7⟩. ⟨hal-01094223⟩
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