https://doi.org/10.1140/epjp/s13360-024-05530-3
Regular Article
Effect of position-dependent mass formalism on expectation values and thermodynamic properties of some molecules with Kratzer potential
1
Physic Department, Faculty of Science, University of Maroua, PO Box 814, Maroua, Cameroon
2
Physic Department, Higher Teacher Training College, University of Bertoua, PO Box 652, Bertoua, Cameroon
3
Physic Department, Faculty of Science, University of Yaoundé I, PO Box 812, Yaoundé, Cameroon
Received:
18
April
2024
Accepted:
26
July
2024
Published online:
2
September
2024
In this work, the position-dependent Kratzer thermodynamical model is constructed via the position-dependent mass (PDM) Schrödinger equation with molecular Kratzer potential and parametric Nikiforov–Uvarov method. Analytical expressions for energy eigenvalues with their corresponding eigenfunctions, expectation values and partition function are derived. These expectation values of 
, 
, kinetic energy T and square of momentum 
, which are obtained by using the Hellmann–Feynman theorem and partition functions with several thermodynamical properties (energy, Helmholtz free energy, specific heat capacity, entropy, mean energy), are then used to investigate the effect of the dependence of the mass on position for the two selected diatomic molecules (HCl and LiH).
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
