9702005v1

related topics
{phase, path, phys}
{wave, scattering, interference}
{particle, mechanics, theory}
{field, particle, equation}
{classical, space, random}
{let, theorem, proof}
{photon, photons, single}
{time, wave, function}

Generalized Aharonov-Bohm effect, homotopy classes and Hausdorff dimension

H. Kr{รถ}ger

abstract: 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.

oai_identifier:
oai:arXiv.org:quant-ph/9702005
categories:
quant-ph
comments:
14 pages, LaTeX + 3 figures, PS
doi:
10.1016/S0375-9601(96)00928-0
arxiv_id:
quant-ph/9702005
journal_ref:
Phys.Lett. A226 (1997) 127-134
report_no:
LAVAL-PHY-6-96
created:
1997-01-31

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