Universal Formula for the Expectation Value of the Radial Operator under the Aharonov-Bohm Flux and the Coulomb Field

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dc.creatorKao, W. F.
dc.creatorKao, Y. M.
dc.creatorLin, D. H.
dc.date2002-10-14
dc.date.accessioned2026-07-07T06:05:15Z
dc.date.available2026-07-07T06:05:15Z
dc.descriptionA useful and universal formula for the expectation value of the radial operator in the presence of the Aharonov-Bohm flux and the Coulomb Field is established. We find that the expectation value $< r^λ>$ $(-\infty \leq λ\leq \infty)$ is greatly affected due to the non-local effect of the magnetic flux although the Aharonov-Bohm flux does not have any dynamical significance in classical mechanics. In particular, the quantum fluctuation increases in the presence of the magnetic flux due to the Aharonov-Bohm effect. In addition, the Virial theory in quantum mechanics is also constructed for the spherically symmetric system under the Aharonov-Bohm effect.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/0210106
dc.identifierhttp://arxiv.org/abs/quant-ph/0210106
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90573
dc.subjectQuantum Physics
dc.titleUniversal Formula for the Expectation Value of the Radial Operator under the Aharonov-Bohm Flux and the Coulomb Field
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