# Collapse models: analysis of the free particle dynamics

@article{Bassi2004CollapseMA, title={Collapse models: analysis of the free particle dynamics}, author={Angelo Bassi}, journal={Journal of Physics A}, year={2004}, volume={38}, pages={3173-3192} }

We study a model of spontaneous wavefunction collapse for a free quantum particle. We analyse in detail the time evolution of the single-Gaussian solution and the double-Gaussian solution, showing how the reduction mechanism induces the localization of the wavefunction in space; we also study the asymptotic behaviour of the general solution. With an appropriate choice for the parameter λ which sets the strength of the collapse mechanism we prove that: (i) the effects of the reducing terms on…

## 33 Citations

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We analyse in mathematical detail, within the framework of the QMUPL model of spontaneous wavefunction collapse, the von Neumann measurement scheme for the measurement of a 1/2 spin particle. We…

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We continue the analysis of models of spontaneous wavefunction collapse with stochastic dynamics driven by non-white Gaussian noise. We specialize to a model in which a classical ‘noise’ field, with…

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We study the generalization of the QMUPL model which accounts both for memory and dissipative effects. This is the first model where both features are combined. After having derived the non-local…

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