THE LANDAU PROBLEM AND NONCOMMUTATIVE QUANTUM MECHANICS
J. GAMBOA, F. MÉNDEZ, M. LOEWE, J. C. ROJAS
Modern Physics Letters A
The conditions under which noncommutative quantum mechanics and the Landau problem are equivalent theories is explored. If the potential in noncommutative quantum mechanics is chosen as V= Ω with defined in the text, then for the value θ̃ = 0.22 × 10^-11 cm^2 (that measures the noncommutative effects of the space), the Landau problem and noncommutative quantum mechanics are equivalent theories in the lowest Landau level. For other systems one can find differents values for θ̃ and, therefore,
... possible bounds for θ̃ should be searched in a physical independent scenario. This last fact could explain the differents bounds for θ̃ found in the literature.