Martin Sieber 2000 J. Phys. A: Math. Gen. 33 6263 doi:10.1088/0305-4470/33/36/301
Martin Sieber
Show affiliationsWe consider quantum systems with a chaotic classical limit that are perturbed by a point-like scatterer. The spectral form factor K(τ) for these systems is evaluated semiclassically in terms of periodic and diffractive orbits. It is shown for order τ2 and τ3 that off-diagonal contributions to the form factor which involve diffractive orbits cancel exactly the diagonal contributions from diffractive orbits, implying that the perturbation by the scatterer does not change the spectral statistic. We further show that parametric spectral statistics for these systems are universal for small changes of the strength of the scatterer.
05.45.Mt Quantum chaos; semiclassical methods
03.65.Yz Decoherence; open systems; quantum statistical methods
81Q20 Semiclassical techniques including WKB and Maslov methods
Issue 36 (15 September 2000)
Received 8 March 2000
Martin Sieber 2000 J. Phys. A: Math. Gen. 33 6263
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