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Effects of small oscillations on a diatomic molecule in an elastic medium

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A Correction to this article was published on 06 October 2023

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Abstract

In this analysis, we have investigated the non-relativistic quantum dynamics of a diatomic molecule under effects of the Kratzer–Fues potential, a particular case of the Mie-type potential, and your small oscillations in an elastic environment characterized by the presence of a point-like defect which can be an impurity or a vacancy. Through a purely analytical development, we have determined the lowest energy state of a diatomic molecule for only small oscillations. Next, we generalize our system in which we consider the Kratzer–Fues potential plus its small oscillations. In both cases, we can note that the lowest energy allowed values are totally modified, not only by the presence of the point-type defect, but also by the small oscillations. In addition, another interesting quantum effect can be observed: the distance separating the two atoms has allowed values depend on the quantum numbers of the system.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. (Authors’ comment: This is a theoretical study and no experimental data has been listed.)

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Acknowledgements

The authors would like to thank FAPEMA (Fundação de Amparo à Pesquisa e ao Desenvolvimento Científico e Tecnológico do Maranhão) and to CAPES (Coordenação de Aperfeiçomento de Pessoa de Nível Superior). R. L. L. Vitória was supported by the FAPEMA project No. BPV-00527/22.

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Authors and Affiliations

  1. Departamento de Ensino, Instituto Federal de Educação, Ciência e Tecnologia do Maranhão, Rodovia Marechal Castelo Branco, S/N, Canaã, Santa Inês, MA, 65300-340, Brazil

    R. L. L. Vitória & Kleber Anderson T. da Silva

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  1. R. L. L. Vitória
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  2. Kleber Anderson T. da Silva
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Correspondence to R. L. L. Vitória.

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The original online version of this article was revised: In this article the funding from ‘CAPES (Coordenação de Aperfeiçomento de Pessoa de Nível Superior)’ was omitted. The original article has been corrected.

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Vitória, R.L.L., da Silva, K.A.T. Effects of small oscillations on a diatomic molecule in an elastic medium. Eur. Phys. J. Plus 138, 172 (2023). https://doi.org/10.1140/epjp/s13360-023-03803-x

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