APPLICATIONS OF SQUARE-INTEGRABLE BASIS FUNCTIONS FOR SCATTERING PROBLEMS - A COMPARISON BETWEEN APPROACHES BASED ON TOEPLITZ MATRICES AND NEGATIVE IMAGINARY POTENTIALS

Authors
RON S EISENBERG E GILIBERT M BAER M
Citation
S. Ron et al., APPLICATIONS OF SQUARE-INTEGRABLE BASIS FUNCTIONS FOR SCATTERING PROBLEMS - A COMPARISON BETWEEN APPROACHES BASED ON TOEPLITZ MATRICES AND NEGATIVE IMAGINARY POTENTIALS, Physical review. A, 49(6), 1994, pp. 4549-4555
Citations number
27
Categorie Soggetti
Physics
Journal title
Physical review. A → ACNP
ISSN journal
10502947
Volume
49
Issue
6
Year of publication
1994
Pages
4549 - 4555
Database
ISI
SICI code
1050-2947(1994)49:6<4549:AOSBFF>2.0.ZU;2-S
Abstract
In this work are considered two quantum-mechanical approaches to treat a single-coordinate (Eckart-type) potential scattering process. The o ne approach is based on the application of Toeplitz matrices and the o ther on the application of negative imaginary (absorbing) potentials. It was found that for this type of ''reactive'' process, the method ba sed on the Toeplitz matrices performed better.