Solving the resonances of a three body quantum system is not trivial, but it doesn't have to be complicated. Three body quantum systems have been solved by both theorists and experimentalists, but these methods did not benefit from the technology of this era. Hardware development in conjunction with superior and more efficient programming allow for results to be tested and found at a much faster pace. In doing so, the findings can be radically improved and the methods modified accordingly. A method was developed in that takes advantage of the Faddeev method and Merkuriev modification. The results found using this method correlate with those found with previous theoretical and experimental results.
Generally the three body problems are done with the incident particle being a charged particle, while the target is a neutral atom. An example of this is the Electron-Positronium (e-Ps) system. It's extensively researched and verified both theoretically and experimentally. Highly verifiable results make it an ideal candidate for comparing known results with those of a new method for solving three body resonances.
Once the new method is verified to work as expected, given the known results of the e-Ps data, the physical system may be changed slightly. Instead of a nucleon composed of an electron and a positron, the positron is exchanged by a proton. The nucleon is then a Hydrogen atom; thereby, making the three body system Electron Hydrogen (e-H). This allows for a new system to be compared to that which is different in only one way. The quantitative results are obviously expected to be different, but the qualitative results are expected to be similar. This is especially true regarding the threshold resonances.
|Commitee:||Bill, Andreas, Jaikumar, Prashanth|
|School:||California State University, Long Beach|
|Department:||Physics and Astronomy|
|School Location:||United States -- California|
|Source:||MAI 81/1(E), Masters Abstracts International|
|Subjects:||Computational physics, Quantum physics, Physics|
|Keywords:||Body, Electron-hydrogen, Resonances, Three, Threshold|
Copyright in each Dissertation and Thesis is retained by the author. All Rights Reserved
The supplemental file or files you are about to download were provided to ProQuest by the author as part of a
dissertation or thesis. The supplemental files are provided "AS IS" without warranty. ProQuest is not responsible for the
content, format or impact on the supplemental file(s) on our system. in some cases, the file type may be unknown or
may be a .exe file. We recommend caution as you open such files.
Copyright of the original materials contained in the supplemental file is retained by the author and your access to the
supplemental files is subject to the ProQuest Terms and Conditions of use.
Depending on the size of the file(s) you are downloading, the system may take some time to download them. Please be