Exact solutions for the D-dimensional spherical isotropic confined harmonic oscillator

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dc.creatorMontgomery Jr, H. E.
dc.creatorCampoy, G.
dc.creatorAquino, N.
dc.date2008-03-28
dc.date.accessioned2026-07-07T09:29:07Z
dc.date.available2026-07-07T09:29:07Z
dc.descriptionWe study the size effect on the energy levels of the D-dimensional isotropic harmonic oscillator confined within a box of radius $r_c$ with impenetrable walls. Two different approaches are used to obtain the energy eigenvalues and eigenfunctions for D=1,2,...,5. In the first we solve the Schroedinger equation exactly. In the second we use a series expansion of the wave function. The numerical results obtained are extremely accurate; these values are reported with 50 decimal places.
dc.description14 pages, 5 tables
dc.identifierhttps://arxiv.org/abs/0803.4029
dc.identifierhttp://arxiv.org/abs/0803.4029
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157668
dc.subjectMathematical Physics
dc.titleExact solutions for the D-dimensional spherical isotropic confined harmonic oscillator
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