Publish In |
International Journal of Management and Applied Science (IJMAS)-IJMAS |
Journal Home Volume Issue |
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Issue |
Volume-2,Issue-3 ( Mar, 2016 ) | |||||||||
Paper Title |
A Study Of The Finite Difference Methods And The WENO Schemes In The Resolution Of Schrodinger Equation | |||||||||
Author Name |
Yacine Benhadid | |||||||||
Affilition |
Mathematics Department, College of Basic Education, PAAET, Kuwait. | |||||||||
Pages |
1-6 | |||||||||
Abstract |
The goal of this research was to examine the quantum mechanical phenomenon of tunneling with respect to the Schrödinger Equation. A quantum mechanical wave is said to “tunnel” when it travels (propagates) through a classically forbidden region. In a more physical interpretation, it is when the energy (E) of the wave is lower than the potential at a specific point V(x). [A point where V(x) is greater than E is referred to as a classical turning point.] The phenomenon of a tunneling was examined in a double-well potential. Another goal of this project was to compare two methods for approximating the tunneling time of a wave packet. The two methods used were the finite difference method and WENO approximation scheme In order to compare a potential that experienced tunneling and one that did not, the solution to a quadratic potential was also solved. Index Terms- WENO Schemes, Finite Difference, Schrodinger Equation, Simulation. | |||||||||
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