Singular potentials: Confinement and Riemann hypothesis

Asorey, M. and Santagata, A. (2013) Singular potentials: Confinement and Riemann hypothesis. Il nuovo cimento C, 36 (3). pp. 15-25. ISSN 1826-9885

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We analyze the role of singular potentials in quantum mechanics and field theory. In particular, we focus on the conformal invariant potential V (x) = 1/x2 which governs interesting physical phenomena like Efimov effect in atomic and nuclear compounds, quark confinement in QCD, scaling dimensions in the AdS/CFT correspondence, impurity effects in graphene and even models of the P´olya-Hilbert approach to the Riemann hypothesis.

Item Type: Article
Uncontrolled Keywords: General properties of QCD (dynamics, confinement, etc.) ; Electronic structure of graphene ; Algebraic structures and number theory ; Gauge/string duality
Subjects: 500 Scienze naturali e Matematica > 530 Fisica
Depositing User: Marina Spanti
Date Deposited: 05 May 2020 12:47
Last Modified: 05 May 2020 12:47

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