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Approximate controllability of the Schr{o}dinger Equation with a polarizability term in higher Sobolev norms

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 Added by Nabile Boussaid
 Publication date 2014
  fields
and research's language is English




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This analysis is concerned with the controllability of quantum systems in the case where the standard dipolar approximation, involving the permanent dipole moment of the system, is corrected with a polarizability term, involving the field induced dipole moment. Sufficient conditions for approximate controllability are given. For transfers between eigenstates of the free Hamiltonian, the control laws are explicitly given. The results apply also for unbounded or non-regular potentials.



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