A Confined N-Dimensional Harmonic Oscillator

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 oscill...

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Bibliographic Details
Published in:International journal of theoretical physics 2008-07, Vol.47 (7), p.1853-1864
Main Author: Al-Jaber, Sami M.
Format: Article
Language:English
Subjects:
Elementary Particles
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quantum Field Theory
Quantum Physics
Theoretical
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Summary: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.
ISSN:0020-7748
1572-9575
DOI:10.1007/s10773-007-9630-9