Exact Bound State Solution of Qdeformed Woods-Saxon Plus Modified Coulomb Potential Using Conventional NIKIFOROV-UVAROV Method

Okon, I. B.; Popoola, Oyebola; Isonguyo, Cecilia N.

doi:10.14810/ijrap.2014.3402

Cited by 7 publications

(5 citation statements)

References 24 publications

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“…Other potentials have been used in studying bound state solutions like the following: Hulthen, Poschl-Teller, Eckart, Coulomb, Hylleraas, pseudoharmonic, and scarf II potentials and many others [6,[12][13][14][15][16][17][18][19]. These potentials are studied with some specific methods and techniques like the following: asymptotic iteration method, Nikiforov-Uvarov method, supersymmetric quantum mechanics approach, formular method, exact quantisation, and many more [19][20][21][22][23][24][25][26][27][28][29]. This article is divided into seven sections.…”

Section: Introductionmentioning

confidence: 99%

Approximate Solutions of Schrodinger Equation with Some Diatomic Molecular Interactions Using Nikiforov-Uvarov Method

Okon

Popoola

Isonguyo

2017

Advances in High Energy Physics

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We used a tool of conventional Nikiforov-Uvarov method to determine bound state solutions of Schrodinger equation with quantum interaction potential called Hulthen-Yukawa inversely quadratic potential (HYIQP). We obtained the energy eigenvalues and the total normalized wave function. We employed Hellmann-Feynman Theorem (HFT) to compute expectation values ⟨ −2 ⟩, ⟨ −1 ⟩, ⟨ ⟩, and ⟨ 2 ⟩ for four different diatomic molecules: hydrogen molecule (H 2 ), lithium hydride molecule (LiH), hydrogen chloride molecule (HCl), and carbon (II) oxide molecule. The resulting energy equation reduces to three well-known potentials which are as follows: Hulthen potential, Yukawa potential, and inversely quadratic potential. The bound state energies for Hulthen and Yukawa potentials agree with the result reported in existing literature. We obtained the numerical bound state energies of the expectation values by implementing MATLAB algorithm using experimentally determined spectroscopic constant for the different diatomic molecules. We developed mathematica programming to obtain wave function and probability density plots for different orbital angular quantum number.

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Section: Introductionmentioning

confidence: 99%

Approximate Solutions of Schrodinger Equation with Some Diatomic Molecular Interactions Using Nikiforov-Uvarov Method

Okon

Popoola

Isonguyo

2017

Advances in High Energy Physics

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“…Schrodinger equation accounts for the nonrelativistic wave, whereas for the relativistic wave Klein-Gordan and Dirac equation are of utmost important [72][73][74][75][76][77][78][79]. There are various potentials that have been used to study the quarkonia bound states like Hulthen, Poschl Teller, Eckart, and Coulomb potential, and these are studied using special techniques AEIM, SUSYQM, and NU methods [80][81][82][83][84][85][86][87][88][89][90]. In the present work, we preferred to work with the Cornell potential which has both Coulombic as well as string part [91,92], and here, we take only the Coulombic part of the said potential.…”

Section: Medium-modified Form Of Cornell Potentialmentioning

confidence: 99%

Study of Differential Scattering Cross-Section Using Yukawa Term of Medium-Modified Cornell Potential

Solanki

Lal

Agotiya

2022

Advances in High Energy Physics

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In the present work, we have studied the differential scattering cross-section for ground states of charmonium and bottomonium in the frame work of the medium-modified form of quark-antiquark potential and Born approximation using the nonrelativistic quantum chromodynamics approach. To reach this end, quasiparticle (QP) Debye mass depending upon baryonic chemical potential ( μ b ) and temperature has been employed, and hence the variation of differential scattering cross-section with baryonic chemical potential and temperature at fixed value of the scattering angle ( θ = 9 0 o ) has been studied. The variation of differential scattering cross-section with scattering angle θ (in degree) at fixed temperature and baryonic chemical potential has also been studied. We have also studied the effect of impact parameter and transverse momentum on differential scattering cross-section at θ = 90 o .

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“…Eigen-solutions to relativistic and nonrelativistic wave equations has been of growing interest for decades because of its applications to some physical systems. The Schrodinger wave equation constitute the nonrelativistic wave equation while Klein-Gordon and Dirac constitutes the relativistic wave equations [1][2][3][4][5][6][7][8]. Most potentials are modelled and applied to solve some physical systems examples include: Morse potential, Tietz-Wei, pseudoharmonic, Deng-Fan, Kratzer -Feus, Mie-Type and many of exponential -type potentials [9][10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Eigen-Solutions to Schrodinger Equation with Trigonometric Inversely Quadratic Plus Coulombic Hyperbolic Potential

Okon

Antia

Akankpo

et al. 2020

PSIJ

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In this work, we applied parametric Nikiforov-Uvarov method to analytically obtained eigen solutions to Schrodinger wave equation with Trigonometric Inversely Quadratic plus Coulombic Hyperbolic Potential. We obtain energy-Eigen equation and total normalised wave function expressed in terms of Jacobi polynomial. The numerical solutions produce positive and negative bound state energies which signifies that the potential is suitable for describing both particle and anti-particle. The numerical bound state energies decreases with an increase in quantum state with fixed orbital angular quantum number 0, 1, 2 and 3. The numerical bound state energies decreases with an increase in the screening parameter and 0.5. The energy spectral diagrams show unique quantisation of the different energy levels. This potential reduces to Coulomb potential as a special case. The numerical solutions were carried out with algorithm implemented using MATLAB 8.0 software using the resulting energy-Eigen equation.

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Exact Bound State Solution of Qdeformed Woods-Saxon Plus Modified Coulomb Potential Using Conventional NIKIFOROV-UVAROV Method

Cited by 7 publications

References 24 publications

Approximate Solutions of Schrodinger Equation with Some Diatomic Molecular Interactions Using Nikiforov-Uvarov Method

Approximate Solutions of Schrodinger Equation with Some Diatomic Molecular Interactions Using Nikiforov-Uvarov Method

Study of Differential Scattering Cross-Section Using Yukawa Term of Medium-Modified Cornell Potential

Eigen-Solutions to Schrodinger Equation with Trigonometric Inversely Quadratic Plus Coulombic Hyperbolic Potential

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