A confined N – dimensional harmonic oscillator

dc.contributor.author	Sami M. Al–Jaber
dc.date.accessioned	2017-05-03T09:38:52Z
dc.date.available	2017-05-03T09:38:52Z
dc.date.issued	2007-05-07
dc.description.abstract	<p>We compute the energy eigenvalues for the N- dimensional harmonic oscillator confined in an impenetrable spherical cavity. The results show their dependence on the size of the cavity and the space dimension N. The obtained results are compared with those for the free N- dimensional harmonic oscillator, and as a result, the notion of fractional dimensions is pointed out. Finally, we examine the correlation between eigenenergies for confined oscillators in different dimensions.</p>	en
dc.description.abstract	<p>We compute the energy eigenvalues for the N- dimensional harmonic oscillator confined in an impenetrable spherical cavity. The results show their dependence on the size of the cavity and the space dimension N. The obtained results are compared with those for the free N- dimensional harmonic oscillator, and as a result, the notion of fractional dimensions is pointed out. Finally, we examine the correlation between eigenenergies for confined oscillators in different dimensions.</p>	ar
dc.identifier.uri	https://hdl.handle.net/20.500.11888/9841
dc.title	A confined N – dimensional harmonic oscillator	en
dc.title	A confined N – dimensional harmonic oscillator	ar
dc.type	Other

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