# Non-Markovian dynamics for a free quantum particle subject to spontaneous collapse in space: General solution and main properties

@article{Bassi2009NonMarkovianDF, title={Non-Markovian dynamics for a free quantum particle subject to spontaneous collapse in space: General solution and main properties}, author={Angelo Bassi and Luca Ferialdi}, journal={Physical Review A}, year={2009}, volume={80}, pages={012116} }

We analyze the non-Markovian dynamics of a quantum system subject to spontaneous collapse in space. After having proved, under suitable conditions, the separation of the center-of-mass and relative motions, we focus our analysis on the time evolution of the center of mass of an isolated system (free-particle case). We compute the explicit expression of the Green's function, for a generic Gaussian noise, and analyze in detail the case of an exponential correlation function. We study the time…

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