The Landau-Problem on the θ-Deformed Two-Torus

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dc.creatorGrosse, H.
dc.creatorKornexl, M.
dc.date2002-10-07
dc.date.accessioned2026-07-07T06:05:08Z
dc.date.available2026-07-07T06:05:08Z
dc.descriptionWe study the Landau-problem on the $θ$-deformed two-torus and use well-known projective modules to obtain perturbed spectra. For a strong magnetic field B the problem can be restricted to one particular Landau-level. First we represent generators of the algebra of the non-commutative torus as finite dimensional matrices. A second approach leads to a reducible representation with a $θ$-dependent center. For a simple periodic potential, the rational part of the Hofstadter-butterfly spectrum is obtained.
dc.description11 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0210042
dc.identifierhttp://arxiv.org/abs/quant-ph/0210042
dc.identifierLett.Math.Phys. 63 (2003) 73-83
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90543
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.titleThe Landau-Problem on the θ-Deformed Two-Torus
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