University of Bahrain
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Harmonic Oscillator In An Infinite N·Dimensional Spherical well

Show simple item record Al-Jaber, Sami A. 2018-07-30T10:55:23Z 2018-07-30T10:55:23Z 2008-12-01
dc.identifier.issn 1815-3852
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 *
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

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