199 citations · 1.2k across the 28 of their papers we have counts for
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Efficient semiclassical approach for time delays
Jack Kuipers, Dmitry V. Savin, Martin Sieber
The Wigner time delay, defined by the energy derivative of the total scattering phase shift, is an important spectral measure of an open quantum system characterising the duration…
Semiclassical approach to discrete symmetries in quantum chaos
Chris Joyner, Sebastian Müller, Martin Sieber
We use semiclassical methods to evaluate the spectral two-point correlation function of quantum chaotic systems with discrete geometrical symmetries. The energy spectra of these sy…
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…
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…
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…
Semiclassical expansion of parametric correlation functions of the quantum time delay
Jack Kuipers, Martin Sieber
We derive semiclassical periodic orbit expansions for a correlation function of the Wigner time delay. We consider the Fourier transform of the two-point correlation function, the…
Semiclassical universality of parametric spectral correlations
Jack Kuipers, Martin Sieber
We consider quantum systems with a chaotic classical limit that depend on an external parameter, and study correlations between the spectra at different parameter values. In partic…
Leading off-diagonal approximation for the spectral form factor for uniformly hyperbolic systems
Martin Sieber
We consider the semiclassical approximation to the spectral form factor K(tau) for two-dimensional uniformly hyperbolic systems, and derive the first off-diagonal correction for sm…
Occurrence of periodic Lamé functions at bifurcations in chaotic Hamiltonian systems
M. Brack, M. Mehta, K. Tanaka
We investigate cascades of isochronous pitchfork bifurcations of straight-line librating orbits in some two-dimensional Hamiltonian systems with mixed phase space. We show that the…
Wavefunction localization and its semiclassical description in a 3-dimensional system with mixed classical dynamics
M. Brack, M. Sieber, S. M. Reimann
We discuss the localization of wavefunctions along planes containing the shortest periodic orbits in a three-dimensional billiard system with axial symmetry. This model mimicks the…
Spectral statistics in chaotic systems with a point interaction
Martin Sieber
We consider quantum systems with a chaotic classical limit that are perturbed by a point-like scatterer. The spectral form factor K(tau) for these systems is evaluated semiclassica…