Semiclassical calculations of the two-point correlation form factor for diffractive systems
Semiclassical calculations of the two-point correlation form factor for diffractive systems
复制标题
衍射系统两点相关形状因子的半经典计算
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
O. Giraud
中科院分区：
文献类型：
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作者：
E. Bogomolny;O. Giraud
两点相关形状因子 K(τ) 的计算是针对内部有小尺寸杂质的矩形台球在周期性或狄利克雷边界条件下进行的。结果表明，该形状因子以 τ 为单位的微扰展开的所有项都可以直接从半经典迹公式计算。计算的主要部分是经典轨道叉积中非对角项的求和。当杂质上的散射的衍射系数是常数时，我们的结果与先前通过不同方法获得的精确表达式的展开一致。
The computation of the two-point correlation form factor K(τ) is performed for a rectangular billiard with a small-size impurity inside for both periodic or Dirichlet boundary conditions. It is demonstrated that all terms of perturbation expansion of this form factor in powers of τ can be computed directly from a semiclassical trace formula. The main part of the calculation is the summation of nondiagonal terms in the cross product of classical orbits. When the diffraction coefficient for the scattering on the impurity is a constant our results coincide with the expansion of exact expressions obtained earlier by a different method.