37 citations · 87 across the 5 of their papers we have counts for
6 papers
Three disks in a row: A two-dimensional scattering analog of the double-well problem
Andreas Wirzba, Per. E Rosenqvist
We investigate the scattering off three nonoverlapping disks equidistantly spaced along a line in the two-dimensional plane with the radii of the outer disks equal and the radius o…
Application of the diffraction trace formula to the three disk scattering system
Per E. Rosenqvist, Gabor Vattay, Andreas Wirzba
The diffraction trace formula ({\em Phys. Rev. Lett.} {\bf 73}, 2304 (1994)) and spectral determinant are tested on the open three disk scattering system. The system contains a gen…
Small Disks and Semiclassical Resonances
P. Rosenqvist, N. D. Whelan, A. Wirzba
We study the effect on quantum spectra of the existence of small circular disks in a billiard system. In the limit where the disk radii vanish there is no effect, however this limi…
Inclusion of Diffraction Effects in the Gutzwiller Trace Formula
G. Vattay, A. Wirzba, P. E. Rosenqvist
The Gutzwiller trace formula is extended to include diffraction effects. The new trace formula involves periodic rays which have non-geometrical segments as a result of diffraction…
A Fredholm Determinant for Semi-classical Quantization
Predrag Cvitanović, Per E. Rosenqvist, Gábor Vattay +1
We investigate a new type of approximation to quantum determinants, the ``\qFd", and test numerically the conjecture that for Axiom A hyperbolic flows such determinants have a larg…
A New Determinant for Quantum Chaos
Predrag Cvitanović, Per E. Rosenqvist
We propose a new type of approximation to quantum determinants, ``quantum Fredholm determinant", and conjecture that, compared to the quantum Selberg zeta functions derived from Gu…