Thumbnail Image
Item

Semiclassical Theory of Weighted Spectra for Regular Systems: Absorption Spectra and Decay Rates

Beims, M. W.
; 
Kondratovich, V.
; 
Delos, John B.
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.
Description
Date
2000-10-01
Journal Title
Journal ISSN
Volume Title
Publisher
American Physical Society
Collections
Physics
Show all metadata
Download Dataset
Files
Thumbnail Image
Semiclassical_theory_of_weighted_spectra_for_regular_systems.pdf
Adobe PDF, 420.54 KB
Rights Holder
Usage License
Embargo
Research Projects
Organizational Units
Journal Issue
Keywords
Citation
Advisor
Department
Physics
DOI
https://doi.org/10.1103/PhysRevA.62.043401
URI
https://scholarworks.wm.edu/handle/internal/1003
Embedded videos