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arxiv: quant-ph/0409146 · v2 · submitted 2004-09-22 · 🪐 quant-ph

Strong Analytic Controllability for Hydrogen Control Systems

classification 🪐 quant-ph
keywords controlhydrogenanalyticatomcontrollabilityrealizationstrongsystem
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The realization and representation of so(4,2) associated with the hydrogen atom Hamiltonian are derived. By choosing operators from the realization of so(4,2) as interacting Hamiltonians, a hydrogen atom control system is constructed, and it is proved that this control system is strongly analytically controllable based on a time-dependent strong analytic controllability theorem.

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