Bound state solutions of Klein–Gordon equation with Mobius square plus Yukawa potentials

Analytical solutions of position-dependent mass Klein–Gordon equation for unequal scalar and vector Yukawa potentials

“…The common analytical methods are supersymmetry approach [20,21], the asymptotic iteration method [22], the standard function analysis method [23], the Nikiforov-Uvarov (NU) method [24,25] and the exact and proper quantization rule method [26,27], which have been used to solve the nonrelativistic and relativistic quantum mechanical problems associated with the potential model of interest [28][29][30][31][32][33][34][35]. These potentials include oscillator potential [36,37], Coulomb potential [38][39][40], Manning-Rosen potential [41,42], the Pöschl-Teller potential [43,44], Wood-Saxon potential [45,46], Hulthén potential [47,48], Morse potential [49][50][51] and so on.…”

The static properties and form factors of the deuteron using the different forms of the Wood–Saxon potential

“…The NU method provides an exact solution of the nonrelativistic Schrodinger equation for certain kinds of potentials [13,14]. This method is based on the solution of generalized second-order differential linear equation with special orthogonal functions and for any given real or complex potential, the one-dimensional Schrodinger equation is reduced to a generalized equation of the hypergeometric with an appropriate S ¼ SðrÞ coordinate transformation.…”

A study of thermodynamic properties of quadratic exponential-type potential in D-dimensions

“…Different methods employed over the years in obtaining these solutions include Nikiforov-Uvarov (NU) method [9][10][11][12], Supersymmetry quantum mechanics (SUSYQM) [13][14][15][16], Asymptotic iteration methos (AIM) [17], Proper and exact quantization rule [18][19], Factorization method [20], Functional Analysis Approach FAA (also known here as Modified Factorization Method) [21], etc. The modified factorization method is usually used to transform a secondorder homogeneous linear differential equation into a hypergeometric equation, with the help of a transformation scheme [22].…”