Relevant bibliographies by topics / Pekeris-like approximation

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Academic literature on the topic 'Pekeris-like approximation'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Pekeris-like approximation"

1

Gomez, Ignacio S., Esdras S. Santos, and Olavo Abla. "Morse potential in relativistic contexts from generalized momentum operator: Schottky anomalies, Pekeris approximation and mapping." Modern Physics Letters A 36, no. 20 (2021): 2150140. http://dx.doi.org/10.1142/s0217732321501406.

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In this work, we explore a generalization of the Dirac and Klein–Gordon (KG) oscillators, provided with a deformed linear momentum inspired in nonextensive statistics, that gives place to the Morse potential in relativistic contexts by first principles. In the (1 + 1)-dimensional case, the relativistic oscillators are mapped into the quantum Morse potential. Using the Pekeris approximation, in the (3 + 1)-dimensional case, we study the thermodynamics of the S-waves states (l = 0) of the H2, LiH, HCl and CO molecules (in the non-relativistic limit) and of a relativistic electron, where Schottky
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2

B., I. Ita, Louis H., I. Amos P., O. Magu T., and A. Nzeata-Ibe N. "Bound State Solutions of the Klein-Gordon Equation with Manning-Rosen Plus Yukawa Potential Using Pekeris-Like Approximation of the Coulomb Term and Parametric Nikiforov-Uvarov." Physical Science International Journal 15, no. 3 (2017): 1–6. https://doi.org/10.9734/PSIJ/2017/34330.

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The solutions of the klein-gordon equation with Manning-Rosen plus Yukawa potential (MRYP) has been presented using the Pekeris-like approximation of the coulomb term and parametric Nikiforov-Uvarov (NU) method. The bound state energy eigenvalues and the corresponding un-normalized eigen functions were obtained in terms of Jacobi polynomials. So also, Yukawa, Manning-Rosen and coulomb potentials have been recovered from the mixed potentials and their eigen values obtained.
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3

Andaresta, Windy, A. Suparmi, and C. Cari. "Study of Klein Gordon Equation with Minimum Length Effect for Woods-Saxon Potetial using Nikiforov-Uvarov Functional Analysis." Journal of Physics: Theories and Applications 5, no. 2 (2021): 56. http://dx.doi.org/10.20961/jphystheor-appl.v5i2.55328.

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The equation of Klein-Gordon for Woods-Saxon potential was discussed in the minimal length effect. We have found the completion of this equation using an approximation by suggesting a new wave function. The Klein-Gordon equation in minimal length formalism for the Woods-Sadon potential is reduced to the form of the Schrodinger-like equation. Then the equation was accomplished by Nikiforov-Uvarov Functional Analysis (NUFA) with Pekeris approximation. This method is applied to gain the radial eigensolutions with chosen exponential-type potential models. The method of NUFA is more compatible by e
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4

Andaresta, Windy, A. Suparmi, and C. Cari. "Study of Klein Gordon Equation with Minimum Length Effect for Woods-Saxon Potetial using Nikiforov-Uvarov Functional Analysis." Journal of Physics: Theories and Applications 5, no. 2 (2021): 56. http://dx.doi.org/10.20961/jphystheor-appl.v5i2.55328.

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The equation of Klein-Gordon for Woods-Saxon potential was discussed in the minimal length effect. We have found the completion of this equation using an approximation by suggesting a new wave function. The Klein-Gordon equation in minimal length formalism for the Woods-Sadon potential is reduced to the form of the Schrodinger-like equation. Then the equation was accomplished by Nikiforov-Uvarov Functional Analysis (NUFA) with Pekeris approximation. This method is applied to gain the radial eigensolutions with chosen exponential-type potential models. The method of NUFA is more compatible by e
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5

Cheney, Margaret, and Ivars Kirsteins. "Reducing ambiguities in single-hydrophone matched-field processing by exploiting source motion." Journal of the Acoustical Society of America 153, no. 3_supplement (2023): A298. http://dx.doi.org/10.1121/10.0018922.

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Matched-field processing for localizing an underwater acoustic source in range and depth from power-spectrum measurements obtained at a single hydrophone receiver often suffers from high side-lobes and ambiguities when the signal is narrowband or signal bandwidth is small. In this paper we review how source motion can be utilized to reduce side-lobes in depth and range via an incoherent synthetic-aperture-like approach and explain the mechanisms responsible for side-lobe reduction relative to the height of the main-lobe by using a normal-mode expansion for the pressure field. We also derive an
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6

Bitrus, Bako M., U. Wadata, C. M. Nwabueze, and E. S. Eyube. "ENERGY SPECTRUM AND SOME USEFUL EXPECTATION VALUES OF THE TIETZ-HULTHÉN POTENTIAL." FUDMA JOURNAL OF SCIENCES 5, no. 2 (2021): 255–63. http://dx.doi.org/10.33003/fjs-2021-0501-614.

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In this paper, concept of supersymmetric quantum mechanics has been employed to derive expression for bound state energy eigenvalues of the Tietz-Hulthén potential, the corresponding equation for normalized radial eigenfunctions were deduced by ansatz solution technique. In dealing with the centrifugal term of the effective potential of the Schrödinger equation, a Pekeris-like approximation recipe is considered. By means of the expression for bound state energy eigenvalues and radial eigenfunctions, equations for expectation values of inverse separation-squared and kinetic energy of the Tietz-
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7

Ita, B., H. Louis, P. Amos, T. Magu, and N. Nzeata-Ibe. "Bound State Solutions of the Klein-Gordon Equation with Manning-Rosen Plus Yukawa Potential Using Pekeris-Like Approximation of the Coulomb Term and Parametric Nikiforov-Uvarov." Physical Science International Journal 15, no. 3 (2017): 1–6. http://dx.doi.org/10.9734/psij/2017/34330.

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8

Louis, H., B. I. Ita, P. I. Amos, et al. "Bound State Solutions of Klein-Gordon Equation with Manning-Rosen Plus a Class of Yukawa Potential Using Pekeris-Like Approximation of the Coulomb Term and Parametric Nikiforov-Uvarov." International Journal of Chemical and Physical Sciences 7, no. 1 (2018): 33. http://dx.doi.org/10.30731/ijcps.7.1.2018.33-37.

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9

Dutta, Barnali, Sujay Kr Nayek, and Faizuddin Ahmed. "Topological defects on the energy spectra of diatomic molecules embedded with shifted Deng–Fan oscillator potential under AB flux field." International Journal of Quantum Chemistry, October 30, 2023. http://dx.doi.org/10.1002/qua.27267.

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AbstractA study on the effect of point like global monopole topological defects on the energy eigenvalues of the diatomic molecules , , , embedded with Shifted Deng–Fan Oscillator Potential under the influence of Aharonov–Bohm flux field has been made here. Asymptotic Iteration Method (AIM) is used to find out the bound state solutions for arbitrary states by solving the non‐relativistic Schrödinger equation. A Pekeris‐type approximation has been used to approximate the centrifugal barrier term. It is observed that, energy levels of the diatomic molecules is significantly affected by the globa
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10

Diaf, Ahmed, and Mohammed Hachama. "Relativistic energies for the q-deformed Scarf potential with Feynman path integrals formulation." Physica Scripta, May 28, 2024. http://dx.doi.org/10.1088/1402-4896/ad514d.

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Abstract In this paper, the Dirac equation with the q-deformed Scarf potential for spin symmetry is solved for the arbitrary spin-orbit quantum number k, in the presence of Coulomb-like potential tensor. Using the Feynman path integral formalism and the Pekeris approximation of the centrifugal term, we obtain the bound state energy eigenvalues and the associated spinor of the Dirac particle. Furthermore, this
method is used to determine the spectrum of two diatomic molecules Li2 (61 Πu ) and KRb(B −1 Π). The obtained results are compared to the experimental and numerical ones.
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