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Quantum State Preparation Representation
Energy spectrum for a short-range 1/r singular potential with a non-orbital barrier using the asymptotic iteration method
arXiv
Authors: A. J. Sous, A. D. Alhaidari
Year
2015
Paper ID
4526
Status
Preprint
Abstract Read
~2 min
Abstract Words
81
Citations
N/A
Abstract
Using the asymptotic iteration method, we obtain the S-wave solution for a short-range three-parameter central potential with 1/r singularity and with a non-orbital barrier. To the best of our knowledge, this is the first attempt at calculating the energy spectrum for this potential, which was introduced by H. Bahlouli and A. D. Alhaidari and for which they obtained the "potential parameter spectrum". Our results are also independently verified using a direct method of diagonalizing the Hamiltonian matrix in the J-matrix basis.
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- Using the asymptotic iteration method, we obtain the S-wave solution for a short-range three-parameter central potential with 1/r singularity and with a non-orbital barrier.
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