2024
DOI: 10.1007/jhep04(2024)062
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Riemann zeros as quantized energies of scattering with impurities

André LeClair,
Giuseppe Mussardo

Abstract: We construct an integrable physical model of a single particle scattering with impurities spread on a circle. The S-matrices of the scattering with the impurities are such that the quantized energies of this system, coming from the Bethe Ansatz equations, correspond to the imaginary parts of the non-trivial zeros of the the Riemann ζ(s) function along the axis $$\mathfrak{R}\left(s\right)=\frac{1}{2}$$ of the complex s-plane. A simple and natural generalization of the original scattering problem leads instead … Show more

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