An accurate spectral method for solving the Schroedinger equation
| dc.creator | Rawitscher, G. H. | |
| dc.creator | Koltracht, I. | |
| dc.date | 2002-03-11 | |
| dc.date | 2004-08-13 | |
| dc.date.accessioned | 2026-07-07T05:47:10Z | |
| dc.date.available | 2026-07-07T05:47:10Z | |
| dc.description | The solution of the Lippman-Schwinger (L-S) integral equation is equivalent to the the solution of the Schroedinger equation. A new numerical algorithm for solving the L-S equation is described in simple terms, and its high accuracy is confirmed for several physical situations. They are: the scattering of an electron from a static hydrogen atom in the presence of exchange, the scattering of two atoms at ultra low temperatures, and barrier penetration in the presence of a resonance for a Morse potential. A key ingredient of the method is to divide the radial range into partitions, and in each partition expand the solution of the L-S equation into a set of Chebyshev polynomials. The expansion is called "spectral" because it converges rapidly to high accuracy. Properties of the Chebyshev expansion, such as rapid convergence, are illustrated by means of a simple example. | |
| dc.description | 27 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/physics/0203032 | |
| dc.identifier | http://arxiv.org/abs/physics/0203032 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/84607 | |
| dc.subject | Computational Physics | |
| dc.subject | Atomic Physics | |
| dc.title | An accurate spectral method for solving the Schroedinger equation | |
| dc.type | text |