Hydrogen molecular ion H_2^+ is generally accepted as the simplest molecule. On the other hand, the Born-Oppenheimer approximation is almost invariably the mandatory one starting point for the quantum-mechanical treatment of molecular systems. It consists of the separation of the electronic and nuclear degrees of freedom which is possible because of the enormous difference between […]
In this research, we have obtained the energy eigenvalues and the corresponding normalized eigenfunction for the linear combination of the modified Kratzer and generalized inverse quadratic Yukawa potential using two different analytical methods: the exact quantization rule and the formula method respectively. The obtained normalized wave function is used to study the Shannon entropy in […]
In this paper, we perform a nonrelativistic study of Frost-Musulin potential (FMP) impacted by the external magnetic and AB flux fields for the CO and NO diatomic molecules using the Nikiforov-Uvarov method with the Greene-Aldrich approximation to the centrifugal barrier. The numerical computation of the proposed potential reveals that the combined impact of the magnetic […]
Abstract Using the basic concept of the supersymmetric shape invariance approach and formalism, we obtained an approximate solution of the Schrödinger equation with an interaction of inversely quadratic Yukawa potential, Yukawa potential and Coulomb potential which we considered as a class of Yukawa potentials. By varying the potential strengths, we obtained a solution for Hellmann […]
AbstractIn this paper, the Schrödinger equation is analytically solved for the Coulomb potential with a novel angle-dependent part. The generalized parametric Nikiforov-Uvarov method is used to obtain energy eigenvalues and corresponding eigenfunctions. We presented the effect of the angle-dependent part on radial solutions and some special cases are also discussed.
AbstractWe use the optimized trigonometric finite basis method to find energy eigenvalues and eigenfunctions of the time-independent Schrödinger equation with high accuracy. We apply this method to the quartic anharmonic oscillator and the harmonic oscillator perturbed by a trigonometric anharmonic term as not exactly solvable cases and obtain the nearly exact solutions.
AbstractIn this paper, we calculate the polarizability of the charged pions in the nonrelativistic quark potential model.
