Zeno dynamics yields ordinary constraints

Department of Physics, Clarkson University, Potsdam, New York, United States
Physical Review A (Impact Factor: 2.81). 01/2001; 65(1). DOI: 10.1103/PhysRevA.65.012108
Source: arXiv


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. Comment: 6 pages

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Available from: A. Scardicchio, Feb 11, 2015
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    • "Its wave function develops a fractal space-time structure. In the case of continuous measurements inside the infinite well one gets the quantum Zeno dynamics [10]. According to our result, there is no Zeno effect if measurements are negative outside an interval. "
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