Spectrum Analysis of Mesons using Nikiforov-Uvarov Functional Analysis Method
Materials Research Proceedings, 2022Abstract. The analytical expressions for the energy eigenvalues and eigenfunctions are computed for Coulomb perturbed potential by solving the Schrodinger equation within the framework of the Nikiforov-Uvarov functional analysis method and applying the Greene-Aldrich approximation.
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Exact solutions of Fokker–Planck equation via the Nikiforov–Uvarov method
Indian Journal of Physics, 2020We propose a powerful approach to provide the exact solutions of the time-dependent Fokker–Planck equation (FPE) for a given pair of drift and diffusion functions in stochastic phenomena. First, we briefly review Nikiforov–Uvarov mathematical method and then apply it to consider three important examples.
Hossein Heidari +2 more
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In this study, the solution of the Schrodinger equation by a method developed by Nikiforov and Uvarov which is not based on the manipulation of formal power series has been schematically presented. The method gives elegant, easy and exact solutions of the Schrodinger equation.
Büyükiliç F., Egrifes H., Demirhan D.
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EXACT SOLUTIONS OF DIRAC EQUATION WITH HARTMANN POTENTIAL BY NIKIFOROV–UVAROV METHOD
International Journal of Modern Physics E, 2010We investigate the exact solution of the Dirac equation for the Hartmann potential. The radial and polar parts of the Dirac equation are solved by Nikiforov–Uvarov method. The bound state energy eigenvalues and the corresponding two-component spinor wave functions of the Dirac particles are obtained.
M. HAMZAVI, H. HASSANABADI, A. A. RAJABI
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Generalized fractional of the extended Nikiforov–Uvarov method for heavy tetraquark masses spectra
Modern Physics Letters A, 2023In this paper, the new analytic–exact energy eigenvalues and eigenfunctions are obtained in the fractional forms by using the extended Nikiforov–Uvarov approach in which the heavy diquark systems are described. We have recalculated the mass spectra and fractional radial wave of heavy tetraquarks. The mass spectra are compared to the experimental data.
M. Abu-Shady +2 more
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A power moment reformulation of the Nikiforov–Uvarov method for exactly solvable systems
Canadian Journal of Physics, 2016Exactly solvable (ES) systems are those for which the full, discrete spectrum can be solved in closed form. In this work, we argue that a moment’s representation analysis can generate these closed-form expressions for the energy in a more direct and transparent manner than the popular Nikiforov–Uvarov (NU) procedure.
Carlos R. Handy, Daniel Vrinceanu
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THE SOLUTION OF THE SECOND PÖSCHL–TELLER LIKE POTENTIAL BY NIKIFOROV–UVAROV METHOD
International Journal of Modern Physics E, 2010The bound states of the Schrödinger equation for a second Pöschl–Teller like potential are obtained exactly using the Nikiforov–Uvarov method. It is found that the solutions can be explicitly expressed in terms of the Jacobi functions or hypergeometric functions. The complicated normalized wavefunctions are found.
M. G. MIRANDA, GUO-HUA SUN, SHI-HAI DONG
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Exactly Modal Analysis of Inhomogeneous Slab Waveguide using Nikiforov-Uvarov Method
Journal of Electromagnetic Waves and Applications, 2008In this paper a novel approach based on Nikiforov-Uvarov (NU) method is presented to solve the light propagation through one-dimensional inhomogeneous slab waveguide analytically. Practically implemented optical slab waveguides based on traditional techniques are usually inhomogeneous and numerical methods are used to obtain guided wave characteristics.
H. Motavali, A. Rostami
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Application of Nikiforov-Uvarov Method for Non-central Potential System Solution
2014The energy eigenvalues and eigenfunctions of Schrodinger equation for a 3D harmonic oscillator potential plus Rosen-Morse non-central potential and Eckart plus trigonometric Poschl-Teller non-central potential are investigated using NU method. The bound state energy eigenvalues for both systems are given in a closed form and the corresponding radial ...
C. Cari, A. Suparmi
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Bound states of the Dirac equation with some physical potentials by the Nikiforov–Uvarov method
Physica Scripta, 2009Exact analytical solutions for the s-wave Dirac equation with the reflectionless-type, Rosen–Morse and Manning–Rosen potentials are obtained, under the condition of spin symmetry. We obtained bound state energy eigenvalues and corresponding spinor wave function in the framework of the Nikiforov–Uvarov (NU) method.
Mohammad R Setare, S Haidari
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