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arxiv: quant-ph/0101037 · v1 · pith:T2ZI67MTnew · submitted 2001-01-08 · 🪐 quant-ph · cond-mat.mes-hall· cond-mat.stat-mech· math-ph· math.MP· physics.atom-ph

Zeno dynamics yields ordinary constraints

classification 🪐 quant-ph cond-mat.mes-hallcond-mat.stat-mechmath-phmath.MPphysics.atom-ph
keywords dynamicszenoquantumsystemanalysisasymptoticboundaryconditions
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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 spatial projections, the generator of the "Zeno dynamics" is the Hamiltonian with Dirichlet boundary conditions.

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