Time-symmetry and topology of the Aharonov-Bohm effect

Yakir Aharonov, Ismael L. Paiva, Zohar Schwartzman-Nowik, Avshalom C. Elitzur, Eliahu Cohen

Research output: Contribution to journalArticlepeer-review


The Aharonov-Bohm (AB) effect has been highly influential in fundamental and applied physics. Its topological nature commonly implies that an electron encircling a magnetic flux source in a field-free region must close the loop in order to generate an observable effect. In this paper, we study a variant of the AB effect that apparently challenges this concept. The significance of weak values and nonlocal equations of motion is discussed as part of the analysis, shedding light on and connecting all these fundamental concepts.

Original languageEnglish
Article number475302
JournalJournal of Physics A: Mathematical and Theoretical
Issue number47
StatePublished - 24 Nov 2023


  • Aharonov-Bohm effect
  • modular operators
  • weak measurement
  • weak values

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • General Physics and Astronomy
  • Statistics and Probability
  • Mathematical Physics
  • Modelling and Simulation


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