Supersymmetric quantum mechanics and the Riemann hypothesis
High Energy Physics - Theory
2023-08-22 v2 Mathematical Physics
math.MP
Quantum Physics
Abstract
We construct a supersymmetric quantum mechanical model in which the energy eigenvalues of the Hamiltonians are the products of Riemann zeta functions. We show that the trivial and nontrivial zeros of the Riemann zeta function naturally correspond to the vanishing ground state energies in this model. The model provides a natural form of supersymmetry.
Keywords
Cite
@article{arxiv.2211.04382,
title = {Supersymmetric quantum mechanics and the Riemann hypothesis},
author = {Pushpa Kalauni and Kimball A Milton},
journal= {arXiv preprint arXiv:2211.04382},
year = {2023}
}
Comments
5 pages, 1 figure