Analysis of a Toy Model of Electron "Splitting"

Details Analysis of a Toy Model of Electron "Splitting" Analysis of a Toy Model of Electron "Splitting"

2002-11-05

arxiv.org/abs/cond-mat/0211096v1

Phys. Rev. A 69, 032111 (2004)

Physics

Condensed Matter

Soft Condensed Matter

9 pages

Scientific paper

10.1103/PhysRevA.69.032111

We 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.

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