"Semiclassical Theory of Weighted Spectra for Regular Systems: Absorpti" by M. W. Beims, V. Kondratovich et al.
 

Document Type

Article

Department/Program

Physics

Journal Title

Physical Review A

Pub Date

10-2000

Publisher

American Physical Society

Volume

62

Issue

4

Abstract

We derive a simple semiclassical representation to describe the large-scale structure of the spectrum of regular systems weighted by some arbitrary function W. Examples of weighted spectra are the width-weighted spectrum, which represents the decay rate of an unstable system, and the oscillator-strength-weighted spectrum, which represents the photoabsorption rate. Semiclassical representations of such spectra involve stationary-phase contributions, which are periodic or closed orbits, and end-point contributions, which are loops on an extremal torus. The theory provides the link between semiquantal formulas and the closed-orbit theory of atomic photoabsorption. It also allows calculation of an average decay rate without knowledge of the widths of individual quantum states.

DOI

https://doi.org/10.1103/PhysRevA.62.043401

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