199 citations · 1.2k across the 28 of their papers we have counts for
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nlin.CD2007★ 34 cited
The semiclassical relation between open trajectories and periodic orbits for the Wigner time delay
Jack Kuipers, Martin Sieber
The Wigner time delay of a classically chaotic quantum system can be expressed semiclassically either in terms of pairs of scattering trajectories that enter and leave the system o…
nlin.CD2007★ 9 cited
Wavefunctions, Green's functions and expectation values in terms of spectral determinants
Martin Sieber
We derive semiclassical approximations for wavefunctions, Green's functions and expectation values for classically chaotic quantum systems. Our method consists of applying singular…
nlin.CD2007★ 2 cited
Periodic orbit bifurcations and scattering time delay fluctuations
J. P. Keating, A. M. Ozorio de Almeida, S. D. Prado +2
We study fluctuations of the Wigner time delay for open (scattering) systems which exhibit mixed dynamics in the classical limit. It is shown that in the semiclassical limit the ti…