Does the return flux result in the Aharonov-Bohm scattering amplitude?

Jq, Liang

doi:10.1103/physrevd.32.1014

Cited by 9 publications

(3 citation statements)

References 12 publications

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“…We shall work from the scattering amplitude but we are fully aware of the fact that a more rigorous (but also more longer) analysis could be done from the trace of the Green function. We first apply the Poisson summation formula to the scattering amplitude (5). We have…”

Section: Semiclassical Analysismentioning

confidence: 99%

“…(ii) Ψ ℓ vanishes at ρ = R 1 (impenetrability of the hard core of radius R 1 ) while Ψ ℓ as well as its normal derivative are both continuous at ρ = R 2 (which guarantee the continuity of the probability density and of the radial component of the probability current at ρ = R 2 [5]), (iii) at large distance, Ψ ℓ has the asymptotic behavior…”

Section: Exact S-matrix and Resonancesmentioning

confidence: 99%

“…It was studied by Liang in Ref. 5. * Electronic address: decanini@univ-corse.fr † Electronic address: folacci@univ-corse.fr…”

Section: Introductionmentioning

confidence: 99%

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Resonant magnetic vortices

Décanini

Folacci

2003

Phys. Rev. A

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By using the complex angular momentum method, we provide a semiclassical analysis of electron scattering by a magnetic vortex of Aharonov-Bohm-type. Regge poles of the S-matrix are associated with surface waves orbiting around the vortex and supported by a magnetic field discontinuity. Rapid variations of sharp characteristic shapes can be observed on scattering cross sections. They correspond to quasibound states which are Breit-Wigner-type resonances associated with surface waves and which can be considered as quantum analogues of acoustic whispering-gallery modes. Such a resonant magnetic vortex could provide a new kind of artificial atom while the semiclassical approach developed here could be profitably extended in various areas of the physics of vortices.

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Section: Semiclassical Analysismentioning

confidence: 99%

Section: Exact S-matrix and Resonancesmentioning

confidence: 99%