An ensemble of N x N hermitians is constructed which satisfies representation covariance and translation invariance on the basis of maximum entropy and level dynamics, concluding that the resulting reduced distribution of N eigenvalues of a sample hermitian, P(x_1,X_2,..,x_N), must be of the form Ⅱ_(j where β is the symmetry parameter and Φ(r) = 1/4log(l + 2a~2cos2θ/r~2 + a~4/r~4) a > 0; 0≤θ< π/2. An additional restriction on the average level density provides its relation to the single-level potential V(x) and the two-level correlation function R(x― y), and furthermore, the possibility of attractiveness of the pair potential. The scheme allows one to incorporate the scaling theory of the metal-insulator transition by means of a dimensionless conductance g(L) depending on dimensionality, which is outlined. As a result, the universal spectral statistics for 3D metals in the limit L →∞ are indicated.
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机译：构建了N X N Hermitians的集合，其基于最大熵和级别动态来满足表示协方差和翻译不变性，得出结论是，所得封闭师的N特征值的降低分布，P（X_1，X_2，..，X_N ），必须在一对特征值，x和y的差异的单个函数c（x-y）方面是表单Ⅱ_（j 其中β是对称参数和φ（r）= 1 / 4log（l + 2a〜2cos2θ/ r〜2 + a〜4 / r〜4）a> 0; 0≤θ<π/ 2。上的平均水平密度的附加限制其提供相对于单级电势V（x）和所述两个级相关函数R（x方向Y），此外，一对潜在的吸引力的可能性。该方案允许通过根据维度概述的维度导电率G（L）来掺入金属绝缘体过渡的缩放理论。结果，指示了限制L→∞中的3D金属的通用光谱统计。
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