dorsal/arxiv
View SchemaOn the Energy Increase in Space-Collapse Models
| Authors | Angelo Bassi, Emiliano Ippoliti, Bassano Vacchini |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0506083 |
| URL | https://arxiv.org/abs/quant-ph/0506083 |
| DOI | 10.1088/0305-4470/38/37/007 |
| Journal | J. Phys. A: Math. Gen. 38 (2005) 8017-8038 |
Abstract
A typical feature of spontaneous collapse models which aim at localizing wavefunctions in space is the violation of the principle of energy conservation. In the models proposed in the literature the stochastic field which is responsible for the localization mechanism causes the momentum to behave like a Brownian motion, whose larger and larger fluctuations show up as a steady increase of the energy of the system. In spite of the fact that, in all situations, such an increase is small and practically undetectable, it is an undesirable feature that the energy of physical systems is not conserved but increases constantly in time, diverging for $t \to \infty$. In this paper we show that this property of collapse models can be modified: we propose a model of spontaneous wavefunction collapse sharing all most important features of usual models but such that the energy of isolated systems reaches an asymptotic finite value instead of increasing with a steady rate.
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"abstract": "A typical feature of spontaneous collapse models which aim at localizing\nwavefunctions in space is the violation of the principle of energy\nconservation. In the models proposed in the literature the stochastic field\nwhich is responsible for the localization mechanism causes the momentum to\nbehave like a Brownian motion, whose larger and larger fluctuations show up as\na steady increase of the energy of the system. In spite of the fact that, in\nall situations, such an increase is small and practically undetectable, it is\nan undesirable feature that the energy of physical systems is not conserved but\nincreases constantly in time, diverging for $t \\to \\infty$. In this paper we\nshow that this property of collapse models can be modified: we propose a model\nof spontaneous wavefunction collapse sharing all most important features of\nusual models but such that the energy of isolated systems reaches an asymptotic\nfinite value instead of increasing with a steady rate.",
"arxiv_id": "quant-ph/0506083",
"authors": [
"Angelo Bassi",
"Emiliano Ippoliti",
"Bassano Vacchini"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/38/37/007",
"journal_ref": "J. Phys. A: Math. Gen. 38 (2005) 8017-8038",
"title": "On the Energy Increase in Space-Collapse Models",
"url": "https://arxiv.org/abs/quant-ph/0506083"
},
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