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The dynamics of a quantum system undergoing frequent measurements (quantum Zeno effect) is investigated. Using asymptotic analysis, the system is found to evolve unitarily in a proper subspace of the total Hilbert space. For measurements represented by spatial projections, the generator of the ``Zeno dynamics'' is the Hamiltonian with Dirichlet boundary conditions.
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Facchi et al. (2001) studied this question.
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