View : 14 Download: 0

Automatic domain decomposition for semiclassical Bohmian mechanics using k-means clustering

Title
Automatic domain decomposition for semiclassical Bohmian mechanics using k-means clustering
Authors
Wee D.
Ewha Authors
위대현
SCOPUS Author ID
위대현scopus
Issue Date
2011
Journal Title
Applied Mathematical Modelling
ISSN
0307-904XJCR Link
Citation
vol. 35, no. 2, pp. 667 - 674
Indexed
SCIE; SCOPUS WOS scopus
Abstract
We propose a method to automatically decompose domains in the context of semiclassical Bohmian mechanics. The algorithm is based on the approximate quantum potential method and the technique of k-means clustering. Two numerical examples, static analysis of quantum forces for a Pearson Type IV distribution and temporal analysis of the scattering on the Eckart barrier, are presented to show the viability of the method. The first example demonstrates that approximate quantum forces using our domain decomposition technique achieves convergence as the number of domains increases. In the second example, it is demonstrated that the domains constructed from k-means clustering has well adapted themselves to the evolving wave packet, providing coverage to both transmission and reflection waves. We also confirm that the use of multiple domains improves the evolution of the wave packet by comparing the result with the quantum mechanical solution, previously obtained. The computational cost remains manageable even with a naive implementation of time-consuming summation routines, but development of more sophisticated methodology is recommended for large scale, multidimensional calculations. © 2010 Elsevier Inc.
DOI
10.1016/j.apm.2010.07.021
Appears in Collections:
엘텍공과대학 > 환경공학전공 > Journal papers
Files in This Item:
There are no files associated with this item.
Export
RIS (EndNote)
XLS (Excel)
XML


qrcode

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

BROWSE