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arXiv · 2011.05164

Many-Body Fermions and Riemann Hypothesis

Xindong Wang·Alex Shulman
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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.

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Xindong Wang, Alex Shulman. 2020-11-04. Many-Body Fermions and Riemann Hypothesis. https://arxiv.org/abs/2011.05164

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