Aharonov-Bohm Effect in Noncommutative Spaces

Preprint

30 April 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/0012175

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.

Keywords

NONCOMMUTATIVE SPACE
AHARONOV BOHM EFFECT
SHIFT IN THE PHASE
MAGNETIC FIELD
BOHM EFFECT
PROPAGATOR

All Related Versions

Version 1, 2000-12-19, ArXiv
Version 2, 2001-04-30, ArXiv
Published version: Physics Letters B, 527 (1-2), 149.

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