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

• Published in: European physical journal plus Vol. 138; no. 2; p. 172
• Main Authors: Vitória, R. L. L., da Silva, Kleber Anderson T.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 23.02.2023; Springer Nature B.V
• Subjects: Applied and Technical Physics; Atomic; Charged particles; Complex Systems; Condensed Matter Physics; Cosmology; Defects; Elastic media; Equilibrium; Mathematical and Computational Physics; Molecular; Optical and Plasma Physics; Oscillations; Physics; Physics and Astronomy; Quantum numbers; Quantum physics; Quantum theory; Regular Article; Spacetime; Symmetry; Theoretical
• ISSN: 2190-5444; 2190-5444
• DOI: 10.1140/epjp/s13360-023-03803-x

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.