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arXiv · 1710.10357

Quantum effects of Aharonov-Bohm type and noncommutative quantum mechanics

Miguel E. Rodriguez
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Abstract

Quantum mechanics in noncommutative space modifies the standard result of the Aharonov-Bohm effect for electrons and other recent quantum effects. Here we obtain the phase in noncommutative space for the Spavieri effect, a generalization of Aharonov-bohm effect which involving a coherent superposition of particles with opposite charges moving along single open interferometric path. By means of the experimental considerations a limit $\sqrt{\theta}\simeq\left( 0,13T\text{eV}\right) ^{-1}$ is achieved, improving by 10 orders of magnitude the derived by Chaichian et. al. for the Aharonov-Bohm effect. It is also shown that the noncommutative phases of the Aharonov-Casher and He-McKellar-Willkens effects are nullified in the current experimental tests.

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Miguel E. Rodriguez. 2017-10-28. Quantum effects of Aharonov-Bohm type and noncommutative quantum mechanics. https://doi.org/10.1103/physreva.97.012109

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