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Trapped Ion Quantum Computing

The Analytical Solution of the Schrödinger Particle in Multiparameter Potential

arXiv
Authors: Ahmet Taş, Ali Havare

Year

2016

Paper ID

7732

Status

Preprint

Abstract Read

~2 min

Abstract Words

85

Citations

N/A

Abstract

In this study, we present analytical solutions of the Schrödinger equation with the Multiparameter potential containing the different types of physical potential via the asymptotic iteration method (AIM) by applying a Pekeris-type approximation to the centrifugal potential. For any n and l (states) quantum numbers, we get the bound state energy eigenvalues numerically and the corresponding eigenfunctions.Furthermore, we compare our results with the ones obtained in previous works and it is seen that our numerical results are in good agreement with the literature.

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  • In this study, we present analytical solutions of the Schrödinger equation with the Multiparameter potential containing the different types of physical potential via the...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1608.08571 [2] arXiv https://arxiv.org/abs/1608.08571 [3] Publisher https://arxiv.org/abs/1608.08571

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