Generalized Aharonov-Bohm effect, homotopy classes and Hausdorff dimension

Preprint

31 January 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.quant-ph/9702005

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.

Keywords

GENERALIZED AHARONOV
HAUSDORFF DIMENSION
HOMOTOPY CLASSES
AHARONOV BOHM
BOHM EFFECT
PROPAGATOR

All Related Versions

Version 1, 1997-01-31, ArXiv
Published version: Physics Letters A, 226 (3-4), 127.

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