Aharonov–Bohm effect in noncommutative spaces

By M. Chaichian, P. Prešnajder, M. Sheikh-Jabbari, A. Tureanu. 2000

135 citations recorded by the source corpus.

Abstract The Aharonov–Bohm effect on the noncommutative plane is considered. Developing the path integral formulation of quantum mechanics, we find the propagation amplitude for a particle in a noncommutative space. We show that the corresponding shift in the phase of the particle propagator due to the magnetic field of a thin solenoid receives certain gauge invariant corrections because of the noncommutativity. Evaluating the numerical value for this correction, an upper bound for the noncommutativity parameter is obtained.

Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/c017e9dcff210f6e883a843c23a0e099f2b0159b