Solution of the Schrödinger equation for two different molecular potentials by the Nikiforov-Uvarov method

Application of the Nikiforov-Uvarov Method in Quantum Mechanics

“…To begin the solution we have to get an equivalent equation with the equation given in Eq. (4) that is a key introduction to the NU method (see (Büyükkilic et al, 1997), for a more detailed solution and explanations). It could be written an unknown radial function R(r)=U(r)/r to reduce Eq.…”

“…(9) has a zero and a negative derivative for this value of π(s) in the interval (0, ∞) (Büyükkilic et al, 1997). Therefore, the most suitable expression of π(s) is chosen as…”

Approximate bound states of the Dirac equation with some physical quantum potentials

“…The reflectionless-type potential is the special case of the symmetrical double-well potential.offered by Büyükkılıç et al [55] to describe the vibration of polyatomic molecules. This can be achieved when the coefficient of tanh αr becomes zero.…”

Solutions of the Schrödinger equation with velocity-dependent potentials:a study on Kratzer, Mie and Hulthen potentials

“…Nikiforov-Uvarov (NU) is a method of solving the second order linear equations with special functions. The energy spectrums of many physical systems have been investigated by Nikiforov-Uvarov method [19,[41][42][43][44][45][46]. The corresponding second order differential equation is considered as…”