<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> / Thesis / Master of Science (MSc)
| Identifer | oai:union.ndltd.org:mcmaster.ca/oai:macsphere.mcmaster.ca:11375/19272 |
| Date | 11 1900 |
| Creators | Monteyne, Kereen |
| Contributors | Dumont, Randall, Chemistry |
| Source Sets | McMaster University |
| Language | English |
| Detected Language | English |
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