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2001 | 99 | 5 | 601-610
Article title

Two-Dimensional Electron Gas in a Periodic Potential and External Magnetic Field: States of Pairs and Three-Particle Systems

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EN
Abstracts
EN
The group-theoretical classification of states of identical particle pairs is presented. Then obtained states are coupled with those of an antiparticle to construct states of a three-particle system. Investigations are performed using products of irreducible projective representations of the 2D translation group. For a given Born-von Kármán period N degeneracy of pair states is N, whereas three-particle states are N^2-fold degenerated. It has to be underlined that the case of even N is more complicated since pair states are labelled by four inequivalent irreducible projective representations. The problem of symmetry properties with respect to particles transposition is briefly discussed.
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Publisher

Year
Volume
99
Issue
5
Pages
601-610
Physical description
Dates
published
2001-05
received
2000-11-20
Contributors
author
  • Institute of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
References
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Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv99n508kz
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