456 citations · 2.7k across the 111 of their papers we have counts for
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hep-th2001★ 97 cited
Noncommutative Quantum Mechanics: The Two-Dimensional Central Field
J. Gamboa, M. Loewe, F. Mendez +1
Quantum mechanics in a noncommutative plane is considered. For a general two dimensional central field, we find that the theory can be perturbatively solved for large values of the…
hep-th2001★ 158 cited
The Landau problem and noncommutative quantum mechanics
J. Gamboa, M. Loewe, F. Mendez +1
The conditions under which noncommutative quantum mechanics and the Landau problem are equivalent theories is explored. If the potential in noncommutative quantum mechanics is chos…
hep-th2001★ 3 cited
Noncommutativity and the Aharonov-Bohm Effect
J. Gamboa, M. Loewe, J. C. Rojas
The possibility of detecting noncommutive space relics is analyzed by using the Aharonov-Bohm effect. If space is non-commutative, it turns out that the holonomy receives kinematic…