dc.contributor.author |
Al-Jaber, Sami A. |
|
dc.date.accessioned |
2018-07-30T10:55:23Z |
|
dc.date.available |
2018-07-30T10:55:23Z |
|
dc.date.issued |
2008-12-01 |
|
dc.identifier.issn |
1815-3852 |
|
dc.identifier.uri |
https://journal.uob.edu.bh:443/handle/123456789/1470 |
|
dc.description.abstract |
The boundary effects on a quantum system are discussed by examining an N-dimensional harmonic oscillator confined in an impenetrable sperical well. The corrections, due to the boundary and the space dimension, to the ground-stste energy and wave function are calculated by using a linear approximation method which is linear in energy and by numerical method using Mathematica. Our results for the energy corrections obtained by the two methods are in very good agreement. A simple analytical expression for the asymptotic dependence of the ground-state energy on the well radius and on the dimension N is derived. Finally, the pressure needed to compress a free N-dimensional harmonic oscillator to a certain size is computed. |
en_US |
dc.language.iso |
en |
en_US |
dc.publisher |
University of Bahrain |
en_US |
dc.rights |
Attribution-NonCommercial-ShareAlike 4.0 International |
* |
dc.rights.uri |
http://creativecommons.org/licenses/by-nc-sa/4.0/ |
* |
dc.subject |
Approximation Methods |
|
dc.subject |
Foundations |
|
dc.subject |
Higher Dimensions |
|
dc.title |
Harmonic Oscillator In An Infinite N·Dimensional Spherical well |
en_US |
dc.type |
Article |
en_US |
dc.source.title |
Arab Journal of Basic and Applied Sciences |
|
dc.abbreviatedsourcetitle |
AJBAS |
|