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We give the definitions of exact and approximate controllability for
linear and nonlinear Schrödinger equations, review fundamental criteria
for controllability and revisit a classical “No-go” result
for evolution equations due to Ball, Marsden and Slemrod.
In Section 2 we prove corresponding results on non-controllability
for the linear Schrödinger equation and distributed additive control,
and we show that the Hartree equation of quantum chemistry with bilinear
control is not controllable...
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