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Bound state energies and wave functions of spherical quantum dots in presence of a confining potential model

We obtain the exact energy spectra and corresponding wave functions of the radial Schrödinger equation (RSE) for any (n,l) state in the presence of a combination of psudoharmonic, Coulomb and linear confining potential terms using an exact analytical iteration method. The interaction potential model under consideration is Cornell-modified plus harmonic (CMpH) type which is a correction form to the harmonic, Coulomb and linear confining potential terms. It is used to investigates the energy of electron in spherical quantum dot and the heavy quarkonia (QQ-onia).

preprint2011arXivOpen access
Sameer M. Ikhdair
quant-ph
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Sameer M. Ikhdair

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