Abstract

OKORIE, U.S.; IKOT, A.N.; ONYEAJU, M.C.  and  CHUKWUOCHA, E.O.. A study of thermodynamic properties of quadratic exponential-type potential in D-dimensions. Rev. mex. fis. [online]. 2018, vol.64, n.6, pp.608-614.  Epub Nov 05, 2019. ISSN 0035-001X.  https://doi.org/10.31349/revmexfis.64.608.

We solved the Schrödinger equation with Quadratic Exponential-Type Potential (QEP) model in D-dimensions using the Modified factorization method. The energy eigenvalues and total wavefunctions were obtained in a Gauss hypergeometric form. The thermodynamic properties including vibrational partition function, vibrational mean energy, vibrational mean free energy and vibrational entropy have been calculated for the electronic state of ($X^1\sum _g^{+}$) Rubidium ($R{b}_2$) dimer. The QEP discussed can be applied extensively in Physics and Chemistry, especially in molecular dynamics.

Keywords : Quadratic exponential-type potential; modified factorization method; Schr¨odinger equation; vibrational partition function; 03.65.-w; 03.65.Ge; 05.70.-a.

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