Harmonic Oscillator In An Infinite N·Dimensional Spherical well

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