# A New Version of the Aharonov–Bohm Effect

@article{deOliveira2020ANV, title={A New Version of the Aharonov–Bohm Effect}, author={C{\'e}sar R. de Oliveira and Renan G. Romano}, journal={Foundations of Physics}, year={2020}, volume={50}, pages={137-146} }

We propose a simple situation in which the magnetic Aharonov–Bohm potential influences the values of the deficiency indices of the initial Schrödinger 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.

## 7 Citations

Semiclassical spectrum of the Dirichlet–Pauli operator on an annulus

- MathematicsJournal of Mathematical Physics
- 2022

This paper is devoted to the semiclassical analysis of the spectrum of the Dirichlet–Pauli operator on an annulus. We assume that the magnetic field is strictly positive and radial. We give an…

Semiclassical spectrum of the Dirichlet-Pauli operator on an annulus

- Mathematics
- 2022

. This paper is devoted to the semiclassical analysis of the spectrum of the Dirichlet-Pauli operator on an annulus. We assume that the magnetic ﬁeld is strictly positive and radial. We give an…

Three dimensional Green function in cylindrical coordinates: application to the Aharonov–Bohm effect of double arc-slits

- PhysicsJournal of Physics Communications
- 2020

The object of this paper is the generalization of the theoretical calculation of the probability density of finding a charged particle crossing the double arc-slit in the presence of the vector…

The Aharonov–Bohm effect in a closed flux line

- PhysicsThe European Physical Journal Plus
- 2022

The Aharonov-Bohm (AB) effect was convincingly demonstrated using a microsized toroidal magnet but it is almost always explained using an infinitely-long solenoid or an infinitely-long flux line. The…

Potential Fields in Fluid Mechanics: A Review of Two Classical Approaches and Related Recent Advances

- PhysicsWater
- 2020

The use of potential fields in fluid dynamics is retraced, ranging from classical potential theory to recent developments in this evergreen research field. The focus is centred on two major…

Inverse-square-type potential from the interaction of the magnetic quadrupole moment of a neutral particle with a magnetic field

- PhysicsThe European Physical Journal D
- 2021

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