Issue |
EPL
Volume 95, Number 1, July 2011
|
|
---|---|---|
Article Number | 17009 | |
Number of page(s) | 5 | |
Section | Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties | |
DOI | https://doi.org/10.1209/0295-5075/95/17009 | |
Published online | 21 June 2011 |
Solution of one-dimensional Dirac equation via Poincaré map
1
Saudi Center for Theoretical Physics - Dhahran, Saudi Arabia
2
Physics Department, King Fahd University of Petroleum & Minerals - Dhahran 31261, Saudi Arabia
3
Theoretical Physics Group, Faculty of Sciences, Chouaïb Doukkali University - PO Box 20, 24000 El Jadida, Morocco
4
Physics Department, College of Sciences, King Faisal University - PO Box 380, Alahsa 31982, Saudi Arabia
a
ajellal@ictp.it
b
ahjellal@kfu.edu.sa
Received:
18
April
2011
Accepted:
20
May
2011
We solve the general one-dimensional Dirac equation using a “Poincaré map” approach which avoids any approximation to the spacial derivatives and reduces the problem to a simple recursive relation which is very practical from the numerical implementation point of view. To test the efficiency and rapid convergence of this approach we apply it to a vector coupling Woods-Saxon potential, which is exactly solvable. Comparison with available analytical results is impressive and hence validates the accuracy and efficiency of this method.
PACS: 73.63.-b – Electronic transport in nanoscale materials and structures / 73.23.-b – Electronic transport in mesoscopic systems / 11.80.-m – Relativistic scattering theory
© EPLA, 2011
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.