Classical limit of the quantum Zeno effect

Details Classical limit of the quantum Zeno effect Classical limit of the quantum Zeno effect

2009-11-30

arxiv.org/abs/0911.5675v1

J. Phys. A: Math. Theor. 43 (2010) 032001

Physics

Quantum Physics

10 pages, 2 figures

Scientific paper

10.1088/1751-8113/43/3/032001

The evolution of a quantum system subjected to infinitely many measurements in a finite time interval is confined in a proper subspace of the Hilbert space. This phenomenon is called "quantum Zeno effect": a particle under intensive observation does not evolve. This effect is at variance with the classical evolution, which obviously is not affected by any observations. By a semiclassical analysis we will show that the quantum Zeno effect vanishes at all orders, when the Planck constant tends to zero, and thus it is a purely quantum phenomenon without classical analog, at the same level of tunneling.

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