Stability and instability in parametric resonance and quantum Zeno effect

Physics – Quantum Physics

Scientific paper

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6 pages, 3 figures

Scientific paper

10.1016/S0375-9601(00)00850-1

A quantum mechanical version of a classical inverted pendulum is analyzed.
The stabilization of the classical motion is reflected in the bounded evolution
of the quantum mechanical operators in the Heisenberg picture. Interesting
links with the quantum Zeno effect are discussed.

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