https://doi.org/10.1140/epjp/s13360-023-03803-x
Regular Article
Effects of small oscillations on a diatomic molecule in an elastic medium
Departamento de Ensino, Instituto Federal de Educação, Ciência e Tecnologia do Maranhão, Rodovia Marechal Castelo Branco, S/N, Canaã, 65300-340, Santa Inês, MA, Brazil
a ricardo.vitoria@pq.cnpq.br, ricardo-luis91@hotmail.com
Received:
30
November
2022
Accepted:
13
February
2023
Published online:
23
February
2023
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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