Analysis of a Toy Model of Electron "Splitting"

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dc.creatorAltschul, B.
dc.creatorRebbi, C.
dc.date2002-11-05
dc.date.accessioned2026-07-07T02:48:05Z
dc.date.available2026-07-07T02:48:05Z
dc.descriptionWe examine Maris' recent suggestion that the fission of electron-inhabited bubbles in liquid helium may give rise to a new form of electron fractionization. We introduce a one-dimensional toy-model--a simplified analogue of the helium system--which may be analyzed using the Born-Oppenheimer approximation. We find that none of the model's low-lying energy eigenstates have the form suggested by Maris' computations, in which the bubbles were treated completely classically. Instead, the eigenstates are quantum-mechanically entangled superposition states, which the classical treatment overlooks.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0211096
dc.identifierhttp://arxiv.org/abs/cond-mat/0211096
dc.identifierPhys. Rev. A 69, 032111 (2004)
dc.identifierdoi:10.1103/PhysRevA.69.032111
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/20261
dc.subjectSoft Condensed Matter
dc.titleAnalysis of a Toy Model of Electron "Splitting"
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