On the unique solutions manifold of the Laughlin problem

Details On the unique solutions manifold of the Laughlin problem On the unique solutions manifold of the Laughlin problem

1999-07-06

arxiv.org/abs/hep-th/9907028v1

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, 3 figures, LATEX. Accepted for publication in Vest. Mosk. Univ., Fiz. Astron

Scientific paper

Solutions, exactly expressed in terms of elementary functions (unique Laughlin states), of the correlated motion problem for a pair of 2D-electrons in a constant and uniform magnetic field have been shown to exist for a certain relation between the magnetic field induction and the electron charge. Arguments that can help to understand the physical meaning of these remarkable magnetic field values have been provided. The special interest to this problem is justified by the importance of the new state of matter recently observed.

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