Projection on higher Landau levels and non-commutative geometry

Abstract

The projection of a two dimensional planar system on the higher Landau levels of an external magnetic field is formulated in the language of the non commutative plane and leads to a new class of star products.

12 pages, latex, corrected version

Cited by in corpus (14)

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• A (p,q)-deformed Landau problem in a spherical harmonic well: spectrum and noncommuting coordinates
• Landau levels in a 2D noncommutative space: matrix and quaternionic vector coherent states
• Variations on the Planar Landau Problem: Canonical Transformations, A Purely Linear Potential and the Half-Plane
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• The N=1 Supersymmetric Landau Problem and its Supersymmetric Landau Level Projections: the N=1 Supersymmetric Moyal-Voros Superplane
• Non-commutativity from exact renormalization group dualities
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