Skip navigation
  • Home
  • Browse
    • Communities
      & Collections
    • Browse Items by:
    • Publication Date
    • Author
    • Title
    • Subject
    • Department
  • Sign on to:
    • My MacSphere
    • Receive email
      updates
    • Edit Profile


McMaster University Home Page
  1. MacSphere
  2. Open Access Dissertations and Theses Community
  3. Open Access Dissertations and Theses
Please use this identifier to cite or link to this item: http://hdl.handle.net/11375/19272
Title: Statistical Properties of Chaotic Quantum Dynamics
Authors: Monteyne, Kereen
Advisor: Dumont, Randall
Department: Chemistry
Keywords: statistics;chaotic;quantum;dynamics;chemistry;energy
Publication Date: Nov-1995
Abstract: <p> The statistical properties ofT-shaped Ar3 energy eigenvalues and eigenfunctions are investigated and are used to characterize the system as quantum chaotic. The statistical properties of quantum chaos suggest a statistical theory of quantum dynamics. This statistical quantum dynamics is proposed as an alternative to full scale numerical simulation of quantum dynamics which requires the manipulation of very large matrices. Sparse matrix technology has made the latter computations more tractable; however, a simple alternative based on statistical approximations is still very desirable. The newly proposed statistical theory is tested against sparsematrix based numerical simulation of the T-shaped Ar3 inversion dynamics. The unsuccessful results are rationalized in terms of correlations between eigenfunctions not represented in the statistical theory. </p>
URI: http://hdl.handle.net/11375/19272
Appears in Collections:Open Access Dissertations and Theses

Files in This Item:
File Description SizeFormat 
Monteyne_Kereen_1995_Masters.pdf
Open Access
5.25 MBAdobe PDFView/Open
Show full item record Statistics


Items in MacSphere are protected by copyright, with all rights reserved, unless otherwise indicated.

Sherman Centre for Digital Scholarship     McMaster University Libraries
©2022 McMaster University, 1280 Main Street West, Hamilton, Ontario L8S 4L8 | 905-525-9140 | Contact Us | Terms of Use & Privacy Policy | Feedback

Report Accessibility Issue