The prediction of pseudoresonance positions in the Schwinger variational principle
Abstract
The Schwinger Variational Principle is appled to swave electronhydrogen atom scattering. It is shown computationally, that, consistent with a paper by B. Apagyi, P. Levay, and K. Ladanyi, there are pseudoresonances at the static exchange level of approximation, but not at the static level. The Tmatrix was employed, as well as, the Kmatrix version of the Schwinger Principle, with a real Slater basis, and obtained the same results in both. The origin of the pseudoresonances as resulting from singularities in the separable potential that is effectively employed in the LippmannSchwinger equation from which the Schwinger Variational Principle can be derived. The determination of the pseudoresonance parameters from the separable potential is computationally inexpensive and may be used to predict the pseudoresonance parameters for the scattering calculations so that they may be avoided.
 Publication:

Space Science and Engineering Research Forum
 Pub Date:
 1989
 Bibcode:
 1989sser.proc...77W
 Keywords:

 S Waves;
 Scattering;
 Static Characteristics;
 Variational Principles;
 Low Cost;
 Matrices (Mathematics);
 Singularity (Mathematics);
 Atomic and Molecular Physics