Realization of the Riemann Hypothesis via Coupling Constant Spectrum

2008/03/12 by R. Acharya, Acharya, R.
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Algebraic and Geometric Analysis #Quantum chaos and dynamical systems #math-ph #math.GM #math.MP

paper · pdf · doi:10.48550/arxiv.0803.1818

10 pages, no figures, errors and typos corrected, revised with explanatory notes

arxiv created 2008/03/28 · arxiv updated 2009/12/01

Abstract

We present a Non-relativistic Quantum mechanical model, which exhibits the realization of Riemann Conjecture. The technique depends on exposing the S-wave Jost function at zero energy and in identifying it with the Riemann ξ(s) function following a seminal paper of N. N. Khuri.

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