Journal ArticleDOI
Bound state solutions of d-dimensional Schrödinger equation with Eckart potential plus modified deformed Hylleraas potential
TLDR
In this article, the d-dimensional Schrodinger equation for Eckart plus modified deformed Hylleraas potentials using the generalized parametric form of Nikiforov-Uvarov method was studied.Abstract:
We study the d-dimensional Schrodinger equation for Eckart plus modified deformed Hylleraas potentials using the generalized parametric form of Nikiforov—Uvarov method. We obtain energy eigenvalues and the corresponding wave function expressed in terms of a Jacobi polynomial. We also discuss two special cases of this potential comprised of the Hulthen potential and the Rosen—Morse potential in three dimensions. Numerical results are also computed for the energy spectrum and the potentials.read more
Citations
More filters
Journal ArticleDOI
Approximate arbitrary-state solutions of Dirac equation for modified deformed Hylleraas and Modified Eckart potentials by the NU method
TL;DR: It is inquired into spin and pseudospin symmetries of Dirac equation under modified deformed Hylleraas and modified Eckart potential via a Pekeris approximation and the Nikiforov-Uvarov technique.
Journal ArticleDOI
Analytic solution of multi-dimensional Schrödinger equation in hot and dense QCD media using the SUSYQM method
M. Abu-Shady,Akpan N. Ikot +1 more
TL;DR: In this paper, the SUSYQM method was used to solve the N-radial Schrodinger equation for heavy quarkonia in hot and dense media and the binding energy was analyzed.
Journal ArticleDOI
Bound state solutions of the generalized shifted Hulthén potential
TL;DR: In this article, an approximate solution of the Schrodinger equation in arbitrary dimensions for the generalized shifted Hulthen potential model within the framework of the Nikiforov-Uvarov method was obtained.
Journal ArticleDOI
Analytical Approximate Solution of Schrödinger Equation in D Dimensions with Quadratic Exponential-Type Potential for Arbitrary l-State
TL;DR: In this article, the bound state solution of Schrodinger equation in D dimensions for quadratic exponential-type potential for arbitrary l-state was presented, and generalized parametric Nikiforov-Uvarov method was used to obtain the energy levels and the corresponding eigenfunction in closed form.
Journal ArticleDOI
Klein–Gordon Equation and Nonrelativistic Thermodynamic Properties with Improved Screened Kratzer Potential
Akpan N. Ikot,Akpan N. Ikot,Uduakobong S. Okorie,Uduakobong S. Okorie,Gaotsiwe Joel Rampho,P. O. Amadi,C. O. Edet,I. O. Akpan,Hewa Y. Abdullah,Ridha Horchani +9 more
TL;DR: In this article, Nikiforov-Uvarov functional analysis (NUFA) was employed to solve the Klein-Gordon equation with the improved screened Kratzer potential (ISKP) model.
References
More filters
Book
Table of Integrals, Series, and Products
TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
Journal ArticleDOI
Handbook of Mathematical Functions with Formulas
TL;DR: The Handbook of Mathematical Functions with Formulas (HOFF-formulas) as mentioned in this paper is the most widely used handbook for mathematical functions with formulas, which includes the following:
BookDOI
Special functions of mathematical physics : a unified introduction with applications
TL;DR: The theory of classical or thogonal polynomials of a discrete variable on both uniform and non-uniform lattices has been given a coherent presentation, together with its various applications in physics as discussed by the authors.
Book
Handbook of Integral Equations
TL;DR: In this article, the authors present a method for solving linear Equations of the Form y(x) - xa K(x, t)y(t)dt = f(x).
Journal ArticleDOI
Variational wave functions for a screened Coulomb potential
Richard L. Greene,C. Aldrich +1 more
TL;DR: In this article, the energy levels of the nonzero angular momentum states of the static screened Coulomb potential were calculated using variational trail functions, and it was shown that Hulth-en-like trial functions provide better variational energies and wave functions with fewer parameters than hydrogenic or Slater-type functions for screened-coulomb and similar potentials.