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On the use of CP methods for the numerical solution of the Schrödinger equation

Veerle Ledoux (2012) AIP Conference Proceedings. 1479. p.1193-1196
abstract
One of the main scientific achievements of L. Gr. Ixaru concerns the formulation of CP methods for the numerical solution of the Schrodinger equation. The first ideas were described in the seventies but the CP methods still prove to be very efficient for not only the one-dimensional time-independent Schrodinger equation but also for Sturm-Liouville problems, coupled channel Schrodinger equations and two-dimensional Schrodinger problems. We summarize here the main ideas and discuss the use of a CP method for the single channel (one-dimensional) equation as well as for the multichannel equation.
Please use this url to cite or link to this publication:
author
organization
alternative title
On the use of CP methods for the numerical solution of the Schrodinger equation
year
type
conference (proceedingsPaper)
publication status
published
subject
keyword
STURM-LIOUVILLE PROBLEMS, eigenvalue, PACKAGE, SERIES, Schrödinger, high oscillation
in
AIP Conference Proceedings
editor
TE Simos, G Psihoyios, C Tsitouras and Z Anastassi
volume
1479
issue title
Numerical analysis and applied mathematics (ICNAAM 2012), vols A and B
pages
1193 - 1196
publisher
American Institute of Physics (AIP)
place of publication
Melville, NY, USA
conference name
International conference of Numerical Analysis and Applied Mathematics (ICNAAM 2012)
conference location
Kos, Greece
conference start
2012-09-19
conference end
2012-09-25
Web of Science type
Proceedings Paper
Web of Science id
000310698100288
ISSN
0094-243X
ISBN
9780735410916
DOI
10.1063/1.4756364
language
English
UGent publication?
yes
classification
P1
copyright statement
I have transferred the copyright for this publication to the publisher
id
3081603
handle
http://hdl.handle.net/1854/LU-3081603
date created
2013-01-04 15:21:56
date last changed
2017-01-02 09:53:21
@inproceedings{3081603,
  abstract     = {One of the main scientific achievements of L. Gr. Ixaru concerns the formulation of CP methods for the numerical solution of the Schrodinger equation. The first ideas were described in the seventies but the CP methods still prove to be very efficient for not only the one-dimensional time-independent Schrodinger equation but also for Sturm-Liouville problems, coupled channel Schrodinger equations and two-dimensional Schrodinger problems. We summarize here the main ideas and discuss the use of a CP method for the single channel (one-dimensional) equation as well as for the multichannel equation.},
  author       = {Ledoux, Veerle},
  booktitle    = {AIP Conference Proceedings},
  editor       = {Simos, TE and Psihoyios, G and Tsitouras, C and Anastassi, Z},
  isbn         = {9780735410916},
  issn         = {0094-243X},
  keyword      = {STURM-LIOUVILLE PROBLEMS,eigenvalue,PACKAGE,SERIES,Schr{\"o}dinger,high oscillation},
  language     = {eng},
  location     = {Kos, Greece},
  pages        = {1193--1196},
  publisher    = {American Institute of Physics (AIP)},
  title        = {On the use of CP methods for the numerical solution of the Schr{\"o}dinger equation},
  url          = {http://dx.doi.org/10.1063/1.4756364},
  volume       = {1479},
  year         = {2012},
}

Chicago
Ledoux, Veerle. 2012. “On the Use of CP Methods for the Numerical Solution of the Schrödinger Equation.” In AIP Conference Proceedings, ed. TE Simos, G Psihoyios, C Tsitouras, and Z Anastassi, 1479:1193–1196. Melville, NY, USA: American Institute of Physics (AIP).
APA
Ledoux, Veerle. (2012). On the use of CP methods for the numerical solution of the Schrödinger equation. In TE Simos, G. Psihoyios, C. Tsitouras, & Z. Anastassi (Eds.), AIP Conference Proceedings (Vol. 1479, pp. 1193–1196). Presented at the International conference of Numerical Analysis and Applied Mathematics (ICNAAM 2012), Melville, NY, USA: American Institute of Physics (AIP).
Vancouver
1.
Ledoux V. On the use of CP methods for the numerical solution of the Schrödinger equation. In: Simos T, Psihoyios G, Tsitouras C, Anastassi Z, editors. AIP Conference Proceedings. Melville, NY, USA: American Institute of Physics (AIP); 2012. p. 1193–6.
MLA
Ledoux, Veerle. “On the Use of CP Methods for the Numerical Solution of the Schrödinger Equation.” AIP Conference Proceedings. Ed. TE Simos et al. Vol. 1479. Melville, NY, USA: American Institute of Physics (AIP), 2012. 1193–1196. Print.