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Open Quantum Systems Decoherence Quantum Simulation

Results on the Aharonov-Bohm effect without contact with the solenoid

arXiv
Authors: Cesar R. de Oliveira, Renan G. Romano

Year

2017

Paper ID

25033

Status

Preprint

Abstract Read

~2 min

Abstract Words

79

Citations

N/A

Abstract

We add a confining potential to the Aharonov-Bohm model resulting in no contact of the particle with the solenoid (border); this is characterized by a unique self-adjoint extension of the initial Hamiltonian operator. It is shown that the spectrum of such extension is discrete and the first eigenvalue is found to be a nonconstant 1-periodic function of the magnetic flux circulation with a minimum at integers and maximum at half-integer circulations. This is a rigorous verification of the effect.

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  • We add a confining potential to the Aharonov-Bohm model resulting in no contact of the particle with the solenoid (border); this is characterized by a unique self-adjoint...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1711.06525 [2] arXiv https://arxiv.org/abs/1711.06525 [3] Publisher https://arxiv.org/abs/1711.06525

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