Collapse models: analysis of the free particle dynamics

Details Collapse models: analysis of the free particle dynamics Collapse models: analysis of the free particle dynamics

2004-10-27

arxiv.org/abs/quant-ph/0410222v8

J. Phys. A: Math. Gen. 38 (2005) 3173

Physics

Quantum Physics

13 pages, RevTeX. Note added at the end of the paper, which corrects a mistake in Eqs. (12) and (13)

Scientific paper

We study a model of spontaneous wavefunction collapse for a free quantum particle. We analyze 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 behavior of the general solution. With an appropriate choice for the parameter $\lambda$ which sets the strength of the collapse mechanism, we prove that: i) the effects of the reducing terms on the dynamics of microscopic systems are negligible, the physical predictions of the model being very close to those of standard quantum mechanics; ii) at the macroscopic scale, the model reproduces classical mechanics: the wavefunction of the center of mass of a macro-object behaves, with high accuracy, like a point moving in space according to Newton's laws.

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