Berkolaiko Gregory, Schanz Holger, Whitney Robert S
The Weizmann Institute of Science, Rehovot 76100, Israel.
Phys Rev Lett. 2002 Mar 11;88(10):104101. doi: 10.1103/PhysRevLett.88.104101. Epub 2002 Feb 25.
Using periodic-orbit theory beyond the diagonal approximation we investigate the form factor, K(tau), of a generic quantum graph with mixing classical dynamics and time-reversal symmetry. We calculate the contribution from pairs of self-intersecting orbits that differ from each other only in the orientation of a single loop. In the limit of large graphs, these pairs produce a contribution -2tau(2) to the form factor which agrees with random-matrix theory.
利用超越对角近似的周期轨道理论，我们研究了具有混合经典动力学和时间反演对称性的一般量子图的形状因子(K(\tau))。我们计算了仅在单个回路方向上彼此不同的自相交轨道对的贡献。在大图的极限情况下，这些轨道对形状因子产生(-2\tau^2)的贡献，这与随机矩阵理论一致。
