Dissertation/Thesis Abstract

Threshold Resonances in Electron-Hydrogen Like Systems
by Hurtado, Enrique, M.S., California State University, Long Beach, 2019, 55; 13857568
Abstract (Summary)

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.

Indexing (document details)
Advisor: Papp, Zoltan
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
Publication Number: 13857568
ISBN: 9781085557405
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