A Quantum Particle Undergoing Continuous Observation

V. P. Belavkin; P. Staszewski

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A Quantum Particle Undergoing Continuous Observation

V. P. Belavkin·P. Staszewski

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Abstract

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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V. P. Belavkin, P. Staszewski. 2005-12-17. A Quantum Particle Undergoing Continuous Observation. https://arxiv.org/abs/quant-ph/0512137

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