Thermal and optical properties of two molecular potentials

Abstract

We solve the Schrödinger wave equation for the generalized Morse and Cusp molecular potential models. In the limit of high temperature, at first, we need to calculate the canonical partition function which is basically used to study the behavior of the thermodynamic functions. Based on this, we further calculate the thermodynamic quantities such as the free energy, the entropy, the mean energy and the specific heat.Their behavior with the temperature has been investigated. In addition, the susceptibility for two level systems is also found by applying the incident time dependent field.

Energy eigenvalues and finite-temperature magnetization for the improved Scarf II potential in the presence of external magnetic and Aharonov-Bohm flux fields

“…Examples of diatomic molecule potentials are listed in Refs. [ [7] , [8] , [9] , [10] , [11] , [12] , [13] , [14] , [15] ].…”

“…Diatomic oscillators and atomic potential energy functions are important in the subject of molecular spectroscopy and quantum mechanics due to the information they provide about the quantum states of atoms and molecules of interest. For instance, by solving the wave equation within the non-relativistic and relativistic regimes, under potential functions, many physical properties of systems such as optical, magnetic, electrical, thermodynamic and thermo-chemical properties among others have been investigated [ 9 , [16] , [17] , [18] , [19] , [20] , [21] , [22] , [23] , [24] , [25] , [26] , [27] , [28] ].…”

J—state solutions and thermodynamic properties of the Tietz oscillator

“…In many branches of physics, much attention is given to the wave functions of a system owing to the fact that from such wave functions all necessary information regarding the system under probe can be retrieved [1,2]. Wave functions of a system are not readily handy, they require solving a second order differential equation such as the Schrödinger equation for a given potential energy function.…”

“…The analytical solution of Schrödinger equation for a given potential model involves: application of a suitable approximation scheme [8,9] to model the centrifugal term given as m  L r 2 , 2 2 where L=J (J+1) is the angular momentum of the system, after which the resulting equation is solved. Different methods have been developed and used by researchers to obtain analytical solutions of the Schrödinger equation, some of these include: supersymmetric shape invariance approach [10], Nikiforov-Uvarov method and its parametric form [11,12], asymptotic iteration method [1,4,13], exact quantization [14,15] and proper quantization [15,16] rules.…”

“…By solving the Schrödinger equation with general Morse and Cusp potentials, expressions derived for rovibrational energies were used to study the thermal and optical properties for these potential functions [2]. Ikot et al through asymptotic iteration method solved the Schrödinger equation and obtained thermodynamic functions of the general molecular potential [13].…”