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

• Authors: W. Florek
• Languages of publication: 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.

Keywords

EN

73.20.Dx; 71.70.Di; 02.20.-a

Discipline

• 71.70.Di: Landau levels
• 02.20.-a: Group theory(for algebraic methods in quantum mechanics, see 03.65.Fd; for symmetries in elementary particle physics, see 11.30.-j)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2001
• Volume: 99
• Issue: 5
• Pages: 601-610

Dates

published

2001-05

received

2000-11-20

Contributors

author

W. Florek

• Institute of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland

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Identifiers

DOI

10.12693/APhysPolA.99.601