Physics – Mathematical Physics
Scientific paper
2008-03-28
Physics
Mathematical Physics
14 pages, 5 tables
Scientific paper
We 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.
Aquino N.
Campoy G.
Montgomery H. E. Jr.
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