论文标题

多体费米斯和里曼假设

Many-Body Fermions and Riemann Hypothesis

论文作者

Wang, Xindong, Shulman, Alex

论文摘要

我们研究了对应于多体效应系统的哈密顿量的特征值的代数结构。由于哈密顿量在fermion创建和/或歼灭操作员中是二次的,因此该系统是完全可集成的,并且使用与系统汉密尔顿系统相关的二次矩阵的非相互作用的fermions构建了完整的单个效率激发能谱。讨论了与Riemann假设的联系。

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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