A relaxation method for nonlocal and non-Hermitian operators
| dc.contributor.author | Lagaris, I. E. | en |
| dc.contributor.author | Papageorgiou, D. G. | en |
| dc.contributor.author | Braun, M. | en |
| dc.contributor.author | Sofianos, S. A. | en |
| dc.date.accessioned | 2015-11-24T17:35:31Z | |
| dc.date.available | 2015-11-24T17:35:31Z | |
| dc.identifier.issn | 0021-9991 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/14136 | |
| dc.rights | Default Licence | - |
| dc.subject | integrodifferential equation approach | en |
| dc.subject | schrodinger-equation | en |
| dc.subject | realistic forces | en |
| dc.subject | wave-functions | en |
| dc.subject | bound-states | en |
| dc.subject | triton | en |
| dc.subject | eigenfunctions | en |
| dc.subject | systems | en |
| dc.title | A relaxation method for nonlocal and non-Hermitian operators | en |
| heal.abstract | We present a grid method to solve the time dependent Schrodinger equation (TDSE). It uses the Crank-Nicholson scheme to propagate the wavefunction forward in time and finite differences to approximate the derivative operators. The resulting sparse linear system is solved by the symmetric successive overrelaxation iterative technique. The method handles local and nonlocal interactions and Hamiltonians that correspond to either Hermitian or to non-Hermitian matrices with real eigenvalues. We test the method by solving the TDSE in the imaginary time domain, thus converting the time propagation to asymptotic relaxation. Benchmark problems solved are both in one and two dimensions, with local, nonlocal, Hermitian and non-Hermitian Hamiltonians. (C) 1996 Academic Press, Inc. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.secondary | <Go to ISI>://A1996UQ16400018 | - |
| heal.identifier.secondary | http://ac.els-cdn.com/S002199919690131X/1-s2.0-S002199919690131X-main.pdf?_tid=8670e04e5c355dde36d4094c2e30820a&acdnat=1339753194_3ea1159caeeed060541e41847bd736b0 | - |
| heal.journalName | Journal of Computational Physics | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 1996 | - |
| heal.publisher | Elsevier | en |
| heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μηχανικών Επιστήμης Υλικών | el |
| heal.type | journalArticle | - |
| heal.type.el | Άρθρο Περιοδικού | el |
| heal.type.en | Journal article | en |
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