Two methods of locating resonances of the e – Ps (e- – e - – e+) atomic three-body system are presented. In the first method the homogeneous Faddeev-Merkuriev integral equations are solved by applying a separable expansion approximation on the potential terms in the Coulomb-Sturmian basis. This approximation transforms the integral equations into a matrix equation. The Coulomb-Sturmian matrix elements of the three-body Coulomb Green's operator are then calculated as a contour integral of the two-body Coulomb's Green matrices. The calculation of the Coulomb Green's matrices are considerably simplified by the use of continued fractions that result from a tri-diagonal Jacobi matrix. The complex energies are searched for as the complex zeros of the Fredholm determinant. In the second method the scattering matrix S is computed by means of resolvent Green's operators. The eigenphase sum is then calculated as a function of energy and the resonances appear as singularities of the plot of the eigenphase sum formula.
|School:||California State University, Long Beach|
|School Location:||United States -- California|
|Source:||MAI 49/02M, Masters Abstracts International|
|Subjects:||Physics, Atoms & subatomic particles|
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