Generalized Aharonov-Bohm effect, homotopy classes and Hausdorff dimension

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• 作者：Krö ; ger ; H.
• 刊名：Physics Letters A
• 出版年：1997
• 出版时间：February 17, 1997
• 年：1997
• 卷：226
• 期：3-4
• 页码：127-134
• 全文大小：537 K

文摘

We suggest as gedanken experiment a generalization of the Aharonov-Bohm experiment, based on an array of solenoids. This experiment allows us 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 us to determine its Hausdorff dimension.