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A new version of the Aharonov-Bohm effect
- Source :
- Foundations of Physics (2020)
- Publication Year :
- 2020
-
Abstract
- We propose a simple situation in which the magnetic Aharonov-Bohm potential influences the values of the deficiency indices of the initial Schr\"odinger operator, so determining whether the particle interacts with the solenoid or not. Even with the particle excluded from the magnetic field, the number of self-adjoint extensions of the initial Hamiltonian depends on the magnetic flux. This is a new point of view of the Aharonov-Bohm effect.
- Subjects :
- Mathematical Physics
Physics - History and Philosophy of Physics
81Q12
Subjects
Details
- Database :
- arXiv
- Journal :
- Foundations of Physics (2020)
- Publication Type :
- Report
- Accession number :
- edsarx.2002.04544
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/s10701-020-00328-6