On SUSY-QM, fractal strings and steps towards a proof of the Riemann hypothesis

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dc.creatorCastro, Carlos
dc.creatorGranik, Alex
dc.creatorMahecha, Jorge
dc.date2001-07-31
dc.date2001-09-25
dc.date.accessioned2026-07-07T04:12:02Z
dc.date.available2026-07-07T04:12:02Z
dc.descriptionWe present, using spectral analysis, a possible way to prove the Riemann's hypothesis (RH) that the only zeroes of the Riemann zeta-function are of the form s=1/2+iλ_n. A supersymmetric quantum mechanical model is proposed as an alternative way to prove the Riemann's conjecture, inspired in the Hilbert-Polya proposal; it uses an inverse eigenvalue approach associated with a system of p-adic harmonic oscillators. An interpretation of the Riemann's fundamental relation Z(s) = Z(1-s) as a duality relation, from one fractal string L to another dual fractal string L' is proposed.
dc.description18 pages, 3 figures, Latex, corrected typos, two references added, minor changes
dc.identifierhttps://arxiv.org/abs/hep-th/0107266
dc.identifierhttp://arxiv.org/abs/hep-th/0107266
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/50812
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectGeneral Mathematics
dc.titleOn SUSY-QM, fractal strings and steps towards a proof of the Riemann hypothesis
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