Semi-classical calculations of the two-point correlation form factor for diffractive systems

Details Semi-classical calculations of the two-point correlation form factor for diffractive systems Semi-classical calculations of the two-point correlation form factor for diffractive systems

2001-10-05

arxiv.org/abs/nlin/0110006v1

Nonlinear Sciences

Chaotic Dynamics

42 pages, 10 figures, Latex

Scientific paper

10.1088/0951-7715/15/4/302

The computation of the two-point correlation form factor K(t) 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 t can be computed directly by semiclassical trace formula. The main part of the calculation is the summation of non-diagonal terms in the cross product of classical orbits. When the diffraction coefficient is a constant our results coincide with expansion of exact expressions ontained by a different method.

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