Fernando Méndez

TL;DR: In this article, the authors explore the conditions under which noncommutative quantum mechanics and the Landau problem are equivalent theories in the lowest Landau level and show that they are equivalent in the sense that if the potential in non-commutativity quantum mechanics is chosen as V=Ωℵ with ℵ defined in the text, then for the value $\tilde\theta=0.22\times 10^{-11}~{\rm cm}^2$ (which measures the noncommuteative effects of the space), the Land

TL;DR: The conditions under which non-commutative quantum mechanics and the Landau problem are equivalent theories are explored in this paper, where it is shown that the potential of non-commodity quantum mechanics is 0.22 × 10 − 11 cm^2.

TL;DR: The possibility of detecting noncommutative space relics is analyzed using the Aharonov-Bohm effect in this paper, where it is shown that the holonomy receives nontrivial kinematical corrections that will produce a diffraction pattern even when the magnetic flux is quantized.

TL;DR: The connection between Lorentz invariance violation and noncommutativity of fields in a quantum field theory is investigated in this article, where a new dispersion relation for a free field theory with just one additional non-commutative parameter is obtained.

TL;DR: For a general two-dimensional central field, the theory can be perturbatively solved for large values of the non-commutative parameter (θ) and explicit expressions for the eigenstates and eigenvalues are given in this article.