English

On the unique solutions manifold of the Laughlin problem

High Energy Physics - Theory 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/9907028,
  title  = {On the unique solutions manifold of the Laughlin problem},
  author = {B. A. Lysov and O. F. Dorofeyev},
  journal= {arXiv preprint arXiv:hep-th/9907028},
  year   = {2007}
}

Comments

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