Generalized Aharonov-Bohm effect, homotopy classes and Hausdorff dimension

Details Generalized Aharonov-Bohm effect, homotopy classes and Hausdorff dimension Generalized Aharonov-Bohm effect, homotopy classes and Hausdorff dimension

1997-01-31

arxiv.org/abs/quant-ph/9702005v1

Phys.Lett. A226 (1997) 127-134

Physics

Quantum Physics

14 pages, LaTeX + 3 figures, PS

Scientific paper

10.1016/S0375-9601(96)00928-0

We suggest as gedanken experiment a generalization of the Aharonov-Bohm
experiment, based on an array of solenoids. This experiment allows in principle
to measure the decomposition into homotopy classes of the quantum mechanical
propagator. This yields information on the geometry of the average path of
propagation and allows to determine its Hausdorff dimension.

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