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Analytical Solutions of the Kratzer-Fues Potential in an Arbitrary Number of Dimensions
Authors:Email author" target="_blank">K J?OyewumiEmail author
Institution:(1) Department of Physics, University of Ilorin, P. M. B. 1515 Ilorin, Nigeria
Abstract:No Heading Some aspects of the N dimensional Kratzer-Fues potential are discussed, which is an extension of the combined Coulomb-like potential with inverse quadratic potential in N dimensions. The analytical solutions obtained (eigenfunctions and eigenvalues) are dimensionally dependent, so also, the solutions depend on the value of the coefficient of the inverse quadratic term. The expectation values for < r–2 >, < r–1 > and the virial theorem for this potential are obtained and the values are also dimensions and parameter dependent.
Keywords:arbitrary dimensions  Kratzer-Fues potential  Schrö  dinger equation  analytical solutions  hyperspherical harmonics
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