Many-Body Fermions and Riemann Hypothesis
General Mathematics
2020-11-11 v1
Abstract
We study the algebraic structure of the eigenvalues of a Hamiltonian that corresponds to a many-body fermionic system. As the Hamiltonian is quadratic in fermion creation and/or annihilation operators, the system is exactly integrable and the complete single fermion excitation energy spectrum is constructed using the non-interacting fermions that are eigenstates of the quadratic matrix related to the system Hamiltonian. Connection to the Riemann Hypothesis is discussed.
Cite
@article{arxiv.2011.05164,
title = {Many-Body Fermions and Riemann Hypothesis},
author = {Xindong Wang and Alex Shulman},
journal= {arXiv preprint arXiv:2011.05164},
year = {2020}
}