2015
DOI: 10.5539/apr.v7n5p80
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Energy Spectra of tightly Confined Systems

Abstract: An approximate recipe to the energy eigenvalues for the problem of non-relativistic hydrogen-like atom confined in a spherical cavity of impenetrable wall is presented. The method is based on proposing an ansatz solution with a cut-off function. The asymptotic behavior of the reduced Schrödinger equation is then considered for large and small . Some approximations are applied to deform some terms of the equation, which then allowed us to apply the Nikiforov-Uvarov method in both regions. A potential parameter … Show more

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Cited by 3 publications
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“…Because of impenetrability a Dirichlet boundary condition is imposed on the wave function at the sphere surface. Since 1937, such a confinement model has often been utilized to simulate spatial compression on various quantum systems …”
Section: Introductionmentioning
confidence: 99%
“…Because of impenetrability a Dirichlet boundary condition is imposed on the wave function at the sphere surface. Since 1937, such a confinement model has often been utilized to simulate spatial compression on various quantum systems …”
Section: Introductionmentioning
confidence: 99%