随机矩阵的伪酉系综、PT对称性和Riemann假设
A pseudo-unitary ensemble of random matrices, PT-symmetry and the Riemann Hypothesis
摘要：
构造了一个2 × 2伪厄米特随机矩阵的系综，它具有与Wigner发现的高斯酉系综完全相同的能级间距分布的实本征值。通过对Connes关于Riemann zeta函数零点的谱解释的重新解释，我们建议通过提出哈密顿量也可以是PT对称的（或伪厄米特的）来扩大与著名的Riemann假设有关的哈密顿量的搜索范围。
英文摘要：
An ensemble of 2 x 2 pseudo-Hermitian random matrices is constructed that possesses real eigenvalues with level-spacing distribution exactly as for the Gaussian Unitary Ensemble found by Wigner. By a re-interpretation of Connes' spectral interpretation of the zeros of the Riemann zeta function, we propose to enlarge the scope of search of the Hamiltonian connected with the celebrated Riemann Hypothesis by suggesting that the Hamiltonian could also be PT-symmetric (or pseudo-Hermitian).
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
