The application bispherical coordinate in Schrödinger equation for Mobius square plus modified Yukawa potential using Nikiforov Uvarov Functional Analysis (NUFA) method

Abstract

<p class="Abstract">The application bispherical coordinates in Schrödinger equation for the Mobius square plus modified Yukawa potential have been obtained. The Schrödinger equation in bispherical coordinates for the separable Mobius square plus modified Yukawa potential consisting of the radial part and the angular part for the Mobius square plus modified Yukawa potential is solved using the variable separation method to reduce it to the radial part and angular part Schrödinger equation. The aim of this study was to solve the Schrödinger's equation of radial in bispherical coordinates for the Mobius square plus modified Yukawa potential using the Nikiforov Uvarov Functional Analysis (NUFA) method. Nikiforov Uvarov Functional Analysis (NUFA) method used to obtained energy spectrum equation and wave function for the Mobius square plus modified Yukawa potential. The result of energy spectrum equation for Mobius square plus modified Yukawa potential can be shown in Equation (50). The result of un-normalized wave function equation for Mobius square plus modified Yukawa potential can be shown in Table 1.</p>

Energy spectrum of some diatomic molecules using Nikiforov-Uvarov functional analysis

“…The calculation of wave energy and formulation by the NUFA is contingent upon the accurate translation of waveform formulas and the identifing any discontinuities. This avoids the complexity of the NU technique, which involves searching for the square root of polynomial functions and other criteria [25][26][27][28]: The generalized hypergeometric-type equation is given by:…”

“…After inverting and square each component of equation (25), we arrive at the energy formula for the NUFA technique as:…”