Spectral Zeta Functions for Spherical Aharonov-Bohm Quantum Bags

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dc.creatorElizalde, E.
dc.creatorLeseduarte, S.
dc.creatorRomeo, A.
dc.date1992-12-16
dc.date.accessioned2026-07-07T04:19:05Z
dc.date.available2026-07-07T04:19:05Z
dc.descriptionWe study the sum $\dsζ_H(s)=\sum_j E_j^{-s}$ over the eigenvalues $E_j$ of the Schrdinger equation in a spherical domain with Dirichlet walls, threaded by a line of magnetic flux. Rather than using Green's function techniques, we tackle the mathematically nontrivial problem of finding exact sum rules for the zeros of Bessel functions $J_ν$, which are extremely helpful when seeking numerical approximations to ground state energies. These results are particularly valuable if $ν$ is neither an integer nor half an odd one.
dc.description15 pages, LaTeX file
dc.identifierhttps://arxiv.org/abs/hep-th/9212096
dc.identifierhttp://arxiv.org/abs/hep-th/9212096
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/53452
dc.subjectHigh Energy Physics - Theory
dc.titleSpectral Zeta Functions for Spherical Aharonov-Bohm Quantum Bags
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