TOEPLITZ MATRICES WITHIN DVR FORMULATION - APPLICATION TO QUANTUM SCATTERING PROBLEMS

Authors
EISENBERG E RON S BAER M
Citation
E. Eisenberg et al., TOEPLITZ MATRICES WITHIN DVR FORMULATION - APPLICATION TO QUANTUM SCATTERING PROBLEMS, The Journal of chemical physics, 101(5), 1994, pp. 3802-3805
Citations number
32
Categorie Soggetti
Physics, Atomic, Molecular & Chemical
Journal title
The Journal of chemical physics → ACNP
ISSN journal
00219606
Volume
101
Issue
5
Year of publication
1994
Pages
3802 - 3805
Database
ISI
SICI code
0021-9606(1994)101:5<3802:TMWDF->2.0.ZU;2-9
Abstract
It is shown that the matrix obtained from the infinite order discrete variable representation (DVR) of a scattering problem has the structur e of a Toeplitz matrix. The resulting properties can be used to reduce the associated infinite system of algebraic equations to a finite (an d relatively small) one. An example is worked out to show the efficien cy of the combined Toeplitz DVR approach.