Abstract
In this study, the impacts of TD on the energy spectra and thermal properties of LiH, TiC and I2 diatomic molecules is considered. The Schrodinger equation in cosmic string spacetime is solved with the generalized Morse potential using the well-known (NU) method. The energy spectra and eigenfunction are obtained respectively. The energy spectra is used to obtain the partition function which is then used to evaluate the thermal properties of the system is evaluated accordingly. We find that the energy spectra in the presence of the TD differ from their flat Minkowski spacetime analogue. The effects of the deformation parameter and TD on the thermal properties of the system is also analysed in detail. We observe that the specific heat capacity of the system tends to exhibit quasi-saturation as the deformation parameter and topological defect approaches unity. The results of our study can be applied in the astrophysical situation where these modifications exist in the understanding of spectroscopical data and it may be used as a probe of the presence of a cosmic string or a global monopole in the Universe.
Highlights
The deficiency of the harmonic oscillator in the description of interatomic interactions in diatomic molecules brought about the Morse potential in 1929 [1,2]
To the best of our knowledge, no study in the literature has scrutinized the impact of the cosmic string parameter on the energy spectra and thermal properties of LiH, TiC and I2 diatomic molecules
The major goal of this paper is two-fold: first, we studied the energy shift related with a non-relativistic quantum particle interacting with the generalized Morse potential (GMP) in the spacetimes generated by a cosmic string for selected diatomic molecules
Summary
The deficiency of the harmonic oscillator in the description of interatomic interactions in diatomic molecules brought about the Morse potential in 1929 [1,2]. For many years, the study of quantum dynamics of a single particle interacting in a given potential with a topological defect has been a subject of great interest to researchers. To the best of our knowledge, no study in the literature has scrutinized the impact of the cosmic string parameter on the energy spectra and thermal properties of LiH, TiC and I2 diatomic molecules. The major goal of this paper is two-fold: first, we studied the energy shift related with a non-relativistic quantum particle interacting with the GMP in the spacetimes generated by a cosmic string for selected diatomic molecules. By equating Equations (11) and (12), the energy eigenvalue is obtained
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