Thermomagnetic properties and its effects on Fisher entropy with Schioberg plus Manning-Rosen potential (SPMRP) using Nikiforov-Uvarov functional analysis (NUFA) and supersymmetric quantum mechanics (SUSYQM) methods

Okon, I. B.; Onate, C. A.; Horchani, R.; Popoola, Oyebola; Omugbe, E.; William, E. S.; Okorie, U. S.; Inyang, E. P.; Isonguyo, Cecilia N.; Udoh, M. E.; Antia, Akaninyene D.; Chen, W. L.; Eyube, E. S.; Araújo, Judith P.; Ikot, Akpan N.

doi:10.1038/s41598-023-34521-0

Cited by 12 publications

(1 citation statement)

References 68 publications

(47 reference statements)

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“…The time-independent Schrödinger wave equation can be used to study the dynamics and interactions of quantum mechanical processes and non-relativistic spinless particles [1][2][3][4]. Because the eigenvalues and eigenfunctions associated with quantum problems include essential information regarding the quantum system.…”

Section: Introductionmentioning

confidence: 99%

Bound State and Ro-Vibrational Energies Eigenvalues of Selected Diatomic Molecules with a Class of Inversely Quadratic Yukawa Plus Hulthén Potential Model

Faithpraise,

Inyang

2023

East Eur. J. Phys.

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The Nikiforov-Uvarov approach is used in this study to solve the Schrödinger equation utilizing a class of inversely quadratic Yukawa plus Hulthén potential model with an approximation to the centrifugal term. The normalized wave function and energy eigenvalue equation were obtained. The numerical bound state for a few diatomic molecules (N2, O2, NO, and CO) for various rotational and vibrational quantum numbers was calculated using the energy equation and the related spectroscopic data. Our results show that, with no divergence between the s-wave and l-wave, the energy eigenvalues are very sensitive to the potential and diatomic molecule properties, suggesting that the approximation approach is appropriate for this set of potentials. The results are consistent with earlier studies in the literature, and we also found four special cases of this potential.

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Section: Introductionmentioning

confidence: 99%

Bound State and Ro-Vibrational Energies Eigenvalues of Selected Diatomic Molecules with a Class of Inversely Quadratic Yukawa Plus Hulthén Potential Model

Faithpraise,

Inyang

2023

East Eur. J. Phys.

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Eigensolutions, virial theorem and molecular study of nonrelativistic Krazer‐Fues potential

Onate,

Okon,

Omugbe

et al. 2023

Int J of Quantum Chemistry

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A Kratzer‐Fues potential is coupled with its self to form a double Kratzer‐Fues potential. The solutions of the radial Schrödinger equation with the combined potential are obtained via two different methodologies. Using the supersymmetric approach, the energy equation for a non‐approximated centrifugal term is obtained. The energy equation for the approximated centrifugal term is obtained using the parametric Nikiforov‐Uvarov method. Numerical results are computed for five molecules using MATLAB software program. The computed numerical values are compared with the experimental values and the ground state energy obtained from Herzberg's energy level equation. The study revealed that the results of the approximated centrifugal term are better than the results of the non‐approximated centrifugal term for four molecules.

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Energy spectrum of selected diatomic molecules (H2, CO, I2, NO) by the resolution of Schrodinger equation for combined potentials via NUFA method

Reggab

2024

J Mol Model

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The equation proposed by Schrödinger is widely recognized as the foundational formula in quantum science, comparable to the law of gravity in the study of classical physics.Describing phenomena in various fields, such as quantum optics and atomic physics, exhibits significant diversity. For specific diatomic molecule potentials, analytical responses to the Schrodinger formula can be found. These responses cover all possible values of angular momentum. The NU functional analysis and the Greene-Aldrich hypothesis are employed in our study for the purpose of obtaining an approximate solution for the Schrödinger issue including a screened modified Kratzer potential combined with an inverse quadratic Yukawa potential, a systematic approach needs to be employed. In this study, we calculate the energy eigenvalues associated with bound states in various quantum states, the present study focuses on a distinct group of diatoms molecules. The analytical data that were acquired are utilized in the analysis of various diatomic compounds H2, CO, I2, and NO. A comparative analysis compares the results of this study to those found in other studies that used different methods to figure out how accurate the current method is.

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Thermomagnetic properties and its effects on Fisher entropy with Schioberg plus Manning-Rosen potential (SPMRP) using Nikiforov-Uvarov functional analysis (NUFA) and supersymmetric quantum mechanics (SUSYQM) methods

Cited by 12 publications

References 68 publications

Bound State and Ro-Vibrational Energies Eigenvalues of Selected Diatomic Molecules with a Class of Inversely Quadratic Yukawa Plus Hulthén Potential Model

Bound State and Ro-Vibrational Energies Eigenvalues of Selected Diatomic Molecules with a Class of Inversely Quadratic Yukawa Plus Hulthén Potential Model

Eigensolutions, virial theorem and molecular study of nonrelativistic Krazer‐Fues potential

Energy spectrum of selected diatomic molecules (H2, CO, I2, NO) by the resolution of Schrodinger equation for combined potentials via NUFA method

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