Path integrals with topological constraints: Aharonov-Bohm effect and polymer entanglements

F.W. Wiegel

Physica A: Statistical Mechanics and its Applications, 1981, vol. 109, issue 3, 609-617

Abstract: For Wiener- and Feynman integrals over paths with certain topological properties we compare various methods for explicit calculation. This leads to a one-to-one correspondence between the Aharonov-Bohm effect and a certain polymer entanglement problem. We briefly comment on two generalizations of the Aharonov-Bohm effect. First, we consider this effect due to a closed magnetic flux loop of arbitrary shape; next, we consider the combined effect due to a gas of microscopic magnetic flux loops.

Date: 1981
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:109:y:1981:i:3:p:609-617

DOI: 10.1016/0378-4371(81)90016-9

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