Quantum effects of Aharonov-Bohm type and noncommutative quantum mechanics

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.

4 pages

References in corpus (7)

• The topological AC effect on noncommutative phase space
• The HMW effect in Noncommutative Quantum Mechanics
• Star products, duality and double Lie algebras
• The Noncommutative Anandan's Quantum Phase
• Testing non-classical theories of electromagnetism with ion interferometry
• Photon mass and quantum effects of the Aharonov-Bohm type
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Cited by in corpus (2)

• Klein-Gordon theory in noncommutative phase space
• Chiral Spin Noncommutative Space and Anomalous Dipole Moments