Scale Invariant Scattering and Bernoulli Numbers

Thomas L. Curtright

Department of Physics, University of Miami, Coral Gables, FL 33124, USA

Abstract: Non-relativistic quantum mechanical scattering from an inverse square potential in two spatial dimensions leads to a novel representation of the Bernoulli numbers.

Keywords: scale invariance, Bernoulli numbers, Riemann hypothesis.

MSC: 81Q60, 11B68, 11M26

Received: June 7, 2024; in final form October 14, 2024; Published online October 24, 2024

Language: English

DOI: 10.3842/SIGMA.2024.096

ArXiv: 2401.00586