Singularity Formation and Collapse in the Attractive Gross-Pitaevskii Equation

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dc.creatorRybin, A. V.
dc.creatorVarzugin, G. G.
dc.creatorTimonen, J.
dc.date2001-01-11
dc.date2001-01-30
dc.date.accessioned2026-07-07T02:40:00Z
dc.date.available2026-07-07T02:40:00Z
dc.descriptionA generic mechanism of collapse in the Gross-Pitaevskii equation with attractive interparticle interactions is gained by reformulating this equation as Newton's equation of motion for a system of particles with a constraint. 'Quantum pressure' effects give rise to formation of a potential barrier around the emerging singularity, which prevents a fraction of the particles from falling into the singularity. For reasonable initial widths of the condensate, the fraction of collapsing particles, which are thereby removed from the condensate, is found to be a 'universal' number $\simeq 0.7$.
dc.description4 pages, 1 figure, v2. In this version of the paper we have improved the language and readability in a number of places. We also have emphasized our main conclusions
dc.identifierhttps://arxiv.org/abs/cond-mat/0101160
dc.identifierhttp://arxiv.org/abs/cond-mat/0101160
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/17243
dc.subjectCondensed Matter
dc.titleSingularity Formation and Collapse in the Attractive Gross-Pitaevskii Equation
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