The Group-Theoretical Classification of Some Multiparticle States in the Presence of Magnetic Field and Periodic Potential

dc.creatorFlorek, W.
dc.date2002-12-14
dc.date.accessioned2026-07-07T02:48:44Z
dc.date.available2026-07-07T02:48:44Z
dc.descriptionThe group-theoretical classification of multiparticle states(pairs of particles and charged excitons X^+-) is based on considerations of products of irreducible projective representations of the two-dimensional translation group. The states of a pair particle-antiparticle are non-degenerate, whereas, for a given Born-von Karman period N, degeneracy of pair states is N andthree-particle states are N^2-fold degenerated. The symmetrization of states with respect to particles transposition is considered. Three symmetry adapted bases for trions are considered: (i) the first is obtained from a direct conjugation of three representations; (ii) in the second approach the states of a electrically neutral pair particle-antiparticle are determined in the first step; (iii) the third possibility is to consider a pair of identical particles in the first step. In the discussion presented the Landau gauge A=[0,Hx,0] is used, but it is shown that the results obtained are gauge-independent. In addition the relation between changes of a chosen gauge and local basis transformations are discussed.
dc.description7 pages, presented at 7th WigSym (College Park, MD, USA, Aug 2001), revtex 4
dc.identifierhttps://arxiv.org/abs/cond-mat/0212342
dc.identifierhttp://arxiv.org/abs/cond-mat/0212342
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/20520
dc.subjectMesoscale and Nanoscale Physics
dc.titleThe Group-Theoretical Classification of Some Multiparticle States in the Presence of Magnetic Field and Periodic Potential
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