Browsing by Author "Méndez, F"

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    Noncommutative quantum mechanics
    (2002) Gamboa, J; Méndez, F; Loewe, M; Rojas, JC
    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 noncommutative parameter (theta) and explicit expressions for the eigenstates and eigenvalues are given. The Green function is explicitly obtained and we show that it can be expressed as an infinite series. For polynomial type potentials, we found a smooth limit for small values of theta and for nonpolynomial ones this limit is necessarily abrupt. The Landau problem, as a limit case of a noncommutative system, is also considered.
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    Quantum theory of tensionless noncommutative p-branes -: art. no. 106006
    (2004) Gamboa, J; Loewe, M; Méndez, F
    The quantum theory involving noncommutative tensionless p-branes is studied following path integral methods. Our procedure allows a simple treatment for generally covariant noncommutative extended systems and it contains, as a particular case, the thermodynamics and the quantum tensionless string theory. The effect induced by noncommutativity in the field space is to produce a confinement among pairing of null p-branes.
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    Testing spatial noncommutativity via the Aharonov-Bohm effect -: art. no. 045018
    (2002) Falomir, H; Gamboa, J; Loewe, M; Méndez, F; Rojas, JC
    The possibility of detecting noncommutative space relics is analyzed using the Aharonov-Bohm effect. We show that, if space is noncommutative, the holonomy receives nontrivial kinematical corrections that will produce a diffraction pattern even when the magnetic flux is quantized. The scattering problem is also formulated, and the differential cross section is calculated. Our results can be extrapolated to high energy physics and the bound thetasimilar to[10 TeV](-2) is found. If this bound holds, then noncommutative effects could be explored in scattering experiments measuring differential cross sections for small angles. The bound state Aharonov-Bohm effect is also discussed.