Potential function of the Wilson-Racah quantum system

Taiwo, T. J.

doi:10.1063/1.5062587

Cited by 1 publication

(3 citation statements)

References 7 publications

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“…Moreover, the new energy spectrum of this study was used in place of the vibrational energy level belonging to the improved Manning -Rosen potential and thus determine the thermodynamic properties function using vibrational energy levels available to the system. Further, the two sets of energy spectrum of the WRQs with the energy spectrum in Taiwo (2020) and the thermodynamics experimental values in Peng et al (2018) were compared to validate the results in this study.…”

Section: Introductionmentioning

confidence: 82%

“…Using the results of Wilson's work in Wilson (1991) and those in Taiwo (2020), we obtain the following asymptotic…”

Section: Wilson -Racah Orthogonal Polynomialmentioning

confidence: 99%

“…Information about the corresponding physical systems (both structural and dynamical) are derived from the properties of these polynomials. In order to establish a correspondence between the reformulation of quantum mechanics without potential function and the convention quantum mechanics, Taiwo (2020) obtained the potential function of the New (WRQs) in Alhaidari and Taiwo (2017) using any of the proposed formula in Morozov (2018). To achieve this, he used the matrix elements of the potential function and the basis element of the configuration space.…”

Section: Introductionmentioning

confidence: 99%

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Thermal and atomic properties of hydrogen atom and diatomic molecules in Wilson-Racah Quantum System

Otor,

Emmanuel,

Gundu

et al. 2023

Appl. J. Phys. Sci.

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In this study, a conventional quantum mechanics in which the potential function is not specified but replaced by specifying four parameters Wilson-Racah orthogonal polynomials in the energy and physical parameter space was presented. The wave function is written as a bounded sum of elements of a complete basis with these polynomials as expansion coefficients. By finding the asymptotic of these Wilson – Racah polynomials, the physical properties of the corresponding system (wave function, bound state energy spectrum and/or scattering phase shift) was obtained. Wilson – Racah quantum system was applied to determine the thermodynamics and atomic properties of Hydrogen atom and diatomic molecules. All properties of associated physical systems are obtained directly and simply from the asymptotic of the associated orthogonal polynomials. This new model, gives good an approximate prediction of the Hydrogen atom energy with an estimated average error of 0.125%. The proposed procedure merely relies on experimental values of five molecular constants. The average relative percentage deviations of the thermodynamic properties’ functions Q, U, C, S and F which are 2.42, 0.45, 0.30, 1.23 and 1.50% satisfied the experimental finding as ascertained. These represent satisfactory compromise between accuracy and rapid computations.

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Section: Introductionmentioning

confidence: 82%

“…Using the results of Wilson's work in Wilson (1991) and those in Taiwo (2020), we obtain the following asymptotic…”

Section: Wilson -Racah Orthogonal Polynomialmentioning

confidence: 99%