paper

Zeno dynamics yields ordinary constraints

arXiv:quant-ph/0101037 · doi:10.1103/PhysRevA.65.012108

Abstract

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 spatial projections, the generator of the "Zeno dynamics" is the Hamiltonian with Dirichlet boundary conditions.

6 pages

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