Supersymmetric improvement of the Pekeris approximation for the rotating Morse potential

The rotating Morse potential model for diatomic molecules in the tridiagonalJ-matrix representation: I. Bound states

“…The Morse potential with 0 ≠ is not exactly solvable and hence our numerical results cannot be checked against exact ones. However many numerical and perturbative results have been published in recent years [8][9][10][11][12][13][14][15][16][17][18]. The most widely used approximation was devised by Pekeris [4] which is based on the expansion of the centrifugal In Table 3 we show the bound states energy of the H 2 molecule for different values of the angular momentum generated by using the Laguerre basis with λ = 40, N = 100 and the model parameters in Table 1.…”

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

“…An analytical solution of radial Schrodinger equation is of high importance in non-relativistic quantum mechanics, because the wave function contains all necessary information for full description of a quantum system. There are only few potentials for which the radial Schrodinger equation can be solved explicitly for n and l. So far, many methods were developed, such as supersymmetry (SUSY) [9,10], Nikiforov-Uvarov (NU) method [11] the Pekeris approximation [12].…”

Exact Solution of Schrödinger Equation with Inverted Woods-Saxon and Manning-Rosen Potentials

“…The exact solutions of the Schrödinger wave equation (SWE) are very important because of the understanding of Physics that can only be brought by such solutions [1][2][3][4]. These solutions are valuable tools in checking and improving models and numerical methods being introduced for solving complicated physical problems at least in some limiting cases [5][6].…”