Scattering resonances on truncated cones

The Effect of Resonances on Diffusive Scattering

The presence of resonances modifies the passage of light or of electrons through a disordered medium. We generalize random matrix theory to account for this effect. Using supersymmetry, we calculate analytically the mean density of states, and the effective Lagrangean of the generating functional for the two–point function. We show that the diffusion constant scales with the effective mean leve...

Some Remarks on Scattering Resonances in Even Dimensional Euclidean Scattering

The purpose of this paper is to prove some results about quantum mechanical black box scattering in even dimensions d ≥ 2. We study the scattering matrix and prove some identities which hold for its meromorphic continuation onto Λ, the Riemann surface of the logarithm function. We study the multiplicities of the poles of the continued scattering matrix on each sheet of Λ and relate these to the...

Scattering, Inverse Scattering and Resonances in R

Pion-pion Scattering above Resonances

We model large angle intermediate energy pion-pion scattering by the pQCD two-gluon (2g) exchange contribution and discuss the onset of the dominance of the Glauber-Gribov-Landshoff (GGL) component. The pQCD 2g exchange contribution becomes substantial already at |t| ∼ 1 GeV, but the pQCD exchange dominance is deferred to |t| ∼ 3 GeV because of competing multiple soft rescattering effects. Base...

Quantum Resonances in Chaotic Scattering

This letter summarizes numerical results from [1] which show that in quantum systems with chaotic classical dynamics, the number of scattering resonances near an energy E scales like h̄− D(KE)+1 2 . Here, KE denotes the subset of the classical energy surface {H = E} which stays bounded for all time under the flow of H and D (KE) denotes its fractal dimension. Since the number of bound states in ...