TWO-DIMENSIONAL ELECTRON GAS IN A PERIODIC POTENTIAL AND EXTERNAL MAGNETIC FIELD: STATES OF PAIRS AND THREE-PARTICLE SYSTEMS |

W. FlorekInstitute of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland |

Full Text PDF |

Received: November 20, 2000 |

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 Karman 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. |

DOI: 10.12693/APhysPolA.99.601 PACS numbers: 73.20.Dx, 71.70.Di, 02.20.-a |