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Pré-Publication, Document De Travail Année : 2016

Generalized guidance equation for peaked quantum solitons and effective gravity

Thomas Durt

Résumé

In this paper we consider a situation in which several quantum particles are located relatively far away from each other. We assume that each particle remains in a sharply localised state throughout time, a peaked soliton, due to the existence of some confinement mechanism, for instance a self-focusing non-linear interaction. In a previous work we showed that in this case there exist a class of solutions of the quantum dynamics such that at the zero order of perturbation the peaked quantum solitons (solitary waves) obey a generalized de Broglie-Bohm (dB-B) guidance equation. Here we show that, at the first order of perturbation, our model predicts the appearance of an effective gravitational field.
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Dates et versions

hal-01272636 , version 1 (11-02-2016)
hal-01272636 , version 2 (11-04-2016)

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Thomas Durt. Generalized guidance equation for peaked quantum solitons and effective gravity. 2016. ⟨hal-01272636v1⟩
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