Resonances in the chaotic regime. Interpretation in terms of periodic orbits

Resonances in the chaotic regime. Interpretation in terms of periodic orbits

C. Clay Marston;C. Clay Marston;
The Journal of Chemical Physics 1995 Vol. 103 pp. 8456-8467
152
marston1995theresonances

Abstract

A method using classical mechanics to identify exact resonance eigenstates of a reactive scattering system is presented. Semiclassical approximate eigenstates are first constructed from classical trajectories of a defining topology. The semiclassical wave functions then serve as initial states for an exact quantum time‐dependent wave packet propagation. The quality of the initial semiclassical approximation is readily apparent from the extent to which the spectrum of the resulting dynamics is dominated by a single peak. The systematic construction of the resonant eigenstate spectrum in association with a progression through defining classical topologies is emphasized, and the predictive implications of the method for approximating essential resonant eigenstate nodal structure and energies are discussed.

Citation

ID: 272757
Ref Key: marston1995theresonances
Use this key to autocite in SciMatic or Thesis Manager

References

Blockchain Verification

Account:
NFT Contract Address:
0x95644003c57E6F55A65596E3D9Eac6813e3566dA
Article ID:
272757
Unique Identifier:
10.1063/1.470156
Network:
Scimatic Chain (ID: 481)
Loading...
Blockchain Readiness Checklist
Authors
Abstract
Journal Name
Year
Title
5/5
Creates 1,000,000 NFT tokens for this article
Token Features:
  • ERC-1155 Standard NFT
  • 1 Million Supply per Article
  • Transferable via MetaMask
  • Permanent Blockchain Record
Blockchain QR Code
Scan with Saymatik Web3.0 Wallet

Saymatik Web3.0 Wallet