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Open Quantum Systems Decoherence Quantum Simulation

Closed analytical solutions of the d-dimensional Schrödinger equation with deformed Woods-Saxon potential plus double ring-shaped potential

arXiv
Authors: M. Chabab, A. El Batoul, M. Oulne

Year

2015

Paper ID

26369

Status

Preprint

Abstract Read

~2 min

Abstract Words

88

Citations

N/A

Abstract

By employing the Pekeris approximation, the D-dimensional Schrödinger equation is solved for the nuclear deformed Woods-Saxon potential plus double ring-shaped potential within the framework of the Asymptotic Iteration Method (AIM). The energy eingenvalues are given in a closed form and the corresponding normalized eigenfunctions are obtained in terms of hypergeometric functions. Our general results reproduce many predictions obtained in the literature, using the Nikiforov-Uvarov method (NU) and the Improved Quantization Rule approach, particulary those derived by considering Woods-Saxon potential without deformation and/or without ring shape interaction.

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  • By employing the Pekeris approximation, the D-dimensional Schrödinger equation is solved for the nuclear deformed Woods-Saxon potential plus double ring-shaped potential within...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1511.00484 [2] arXiv https://arxiv.org/abs/1511.00484 [3] Publisher https://arxiv.org/abs/1511.00484

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