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IOP Conference Series Materials Science and Engineering

Sustainability of Molecular Studies for Feinberg-Horodecki Equation under Eckart-Manning-Rosen Potential

C. A. Onate, M. C. Onyeaju

Published Apr 1, 2021• 1 citation
Publisher

Abstract

Abstract The analytic solution of the Feinberg-Horodecki equation for Eckart-Manning-Rosen potential is deduced using the methodology of supersymmetric approach via a suitable approximation scheme to the centrifugal term. The quantized momentum and the corresponding wave functions were obtained. In the domain of the quantized momentum, some molecules have been studied. The effects of some potential parameters on the quantized momentum were graphically studied. In this study, the quantized momentum is fully bounded under Ekart-Manning-Rosen potential.

DOI
10.1088/1757-899x/1107/1/012136

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Abstract The analytic solution of the Feinberg-Horodecki equation for Eckart-Manning-Rosen potential is deduced using the methodology of supersymmetric approach via a suitable approximation scheme to the centrifugal term. The quantized momentum and the corresponding wave functions were obtained. In the domain of the quantized momentum, some molecules have been studied. The effects of some potential parameters on the quantized momentum were graphically studied. In this study, the quantized momentum is fully bounded under Ekart-Manning-Rosen potential.
We solved the Schrödinger equation with a certain approximation to the centrifugal term for an arbitrary angular momentum state with the Eckart Manning Rosen potential. The bound-state energy eigenvalues and the corresponding wave functions have been approximately obtained using the parametric Nikiforov Uvarov method. The solutions of the Schrödinger equation for the Eckart potential, Manning Rosen potential, and Hulthén potential have been obtained using a certain transformation. The concepts of the Shannon entropy and the Fisher information of a system under the Eckart Manning Rosen potential are investigated in detail. The behavior of the screening parameter and the quantum number n for Fisher information and the Shannon entropy are also investigated.
We obtain the quantized momentum eigenvalues, Pn, and the momentum eigenstates for the space-like Schr?dinger equation, the Feinberg-Horodecki equation, with the general potential which is constructed by the temporal counterpart of the spatial form of these potentials. The present work is illustrated with two special cases of the general form: time-dependent Wei-Hua Oscillator and time-dependent Manning-Rosen potential. We also plot the variations of the general molecular potential with its two special cases and their momentum states for few quantized states against the screening parameter.
We present solutions of the Schrodinger equation with superposition of Manning-Rosen plus inversely Mobius square plus quadratic Yukawa potentials using parametric Nikiforov Uvarov method along with an approximation to the centrifugal term. The bound state energy eigenvalues for any angular momentum quantum number l and the corresponding un-normalized wave functions are calculated. The mixed potential which in some particular cases gives the solutions for different potentials: the Manning-Rosen, the Mobius square, the inversely quadratic Yukawa and the Hulthén potentials along with their bound state energies are obtained.
Abstract The time‐dependent Feinberg–Horodecki equation in the presence of a special Mie‐type pseudoharmonic potential was solved and the quantized momentum with the corresponding wave functions were obtained with the supersymmetric approach. The Fisher information for both the time and the momentum space were calculated via expectation values of time and momentum. The effect of the dissociation energy, the equilibrium time point and the quantum number respectively on the Fisher information were studied in detail. The result was applied to five molecules. The results obtained for the time‐dependent Feinberg–Horodecki equation followed the trend of the results obtained for the time‐independent Schrödinger equation.
In this paper, the bound state solution of the modified radial Schrödinger equation is obtained for the Manning-Rosen plus Hulthén potential by implementing the novel improved scheme to surmount the centrifugal term. The energy eigenvalues and corresponding radial wave functions are defined for any l ≠ 0 angular momentum case via the Nikiforov-Uvarov (NU) and supersymmetric quantum mechanics (SUSYQM) methods. By using these two different methods, equivalent expressions are obtained for the energy eigenvalues, and the expression of radial wave functions transformations to each other is demonstrated. The energy levels are worked out and the corresponding normalized eigenfunctions are represented in terms of the Jacobi polynomials for arbitrary l states. A closed form of the normalization constant of the wave functions is also found. It is shown that, the energy eigenvalues and eigenfunctions are sensitive to nr radial and l orbital quantum numbers.