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arxiv: quant-ph/0512137 · v1 · submitted 2005-12-17 · 🪐 quant-ph

A Quantum Particle Undergoing Continuous Observation

classification 🪐 quant-ph
keywords wavecontinuousequationgaussiangivenparticlepotentialquantum
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A stochastic model for the continuous nondemolition ohservation of the position of a quantum particle in a potential field and a boson reservoir is given. lt is shown that any Gaussian wave function evolving according to the posterior wave equation with a quadratic potential collapses to a Gaussian wave packet given by the stationary solution of this equation.

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