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

F.W. Wiegel

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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.
Original languageUndefined
Pages (from-to)609-617
JournalPhysica A
Issue number3
Publication statusPublished - 1981


  • IR-68753

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