Detailed Information
Cited 0 time in 
Cited 0 time in 
Cited 0 time in
Metadata Downloads
Precise numerical solutions of potential problems using the Crank-Nicolson method
- Authors
- Kang, Daekyoung; Won, E.
- Issue Date
- 20-2월-2008
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Crank-Nicolson method; precise numerical calculation; finite differences; imaginary time; Schrodinger equation
- Citation
- JOURNAL OF COMPUTATIONAL PHYSICS, v.227, no.5, pp.2970 - 2976
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF COMPUTATIONAL PHYSICS
- Volume
- 227
- Number
- 5
- Start Page
- 2970
- End Page
- 2976
- ISSN
- 0021-9991
- Abstract
- We present a numerically precise treatment of the Crank-Nicolson method with an imaginary time evolution operator in order to solve the Schrodinger equation. The time evolution technique is applied to the inverse-iteration method that provides a systematic way to calculate not only eigenvalues of the ground-state but also of the excited-states. This method systematically produces eigenvalues with the accuracy of eleven digits when the Cornell potential is used. An absolute error estimation technique is implemented based on a power counting rule. This method is examined on exactly solvable problems and produces the numerical accuracy down to 10(-11). (c) 2007 Elsevier Inc. All rights reserved.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - College of Science > Department of Physics > 1. Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.