Correlation Widths in Quantum--Chaotic Scattering
Abstract
An important parameter to characterize the scattering matrix S for quantum-chaotic scattering is the width Gammacorr of the S-matrix autocorrelation function. We show that the "Weisskopf estimate" d/(2pi) sumc Tc (where d is the mean resonance spacing, Tc with 0 <= Tc <= 1 the "transmission coefficient" in channel c and where the sum runs over all channels) provides a very good approximation to Gammacorr even when the number of channels is small. That same conclusion applies also to the cross-section correlation function.
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.