Strong Analytic Controllability for Hydrogen Control Systems

Details Strong Analytic Controllability for Hydrogen Control Systems Strong Analytic Controllability for Hydrogen Control Systems

2004-09-22

arxiv.org/abs/quant-ph/0409146v2

Physics

Quantum Physics

6 pages; corrected typo; added equations in section III for representation states of so(4,2). accepted by CDC 2004

Scientific paper

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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