Author(s)

Akaninyene D. Antia^*, Ituen B. Okon, Akaninyene O. Akankpo, Jonah B. Usanga

Department of Physics, Faculty of Science, University of Uyo, Uyo, Nigeria.

We have obtained approximate bound state solutions of Schrödinger wave equation with modified quadratic Yukawa plus q-deformed Eckart potential Using Parametric Nikiforov-Uvarov (NU) method. However, we obtained numerical energy eigenvalues and un-normalized wave function using confluent hypergeometric function (Jacobi polynomial). With some modifications, our potential reduces to a well-known potential such as Poschl-Teller and exponential inversely quadratic potential. Numerical bound state energies were carried out using a well-designed Matlab algorithm while the plots were obtained using origin software. The result obtained is in agreement with that of the existing literature.

Schrodinger Equation, Nikiforov-Uvarov Method, Modified Quadratic Yukawa Plus q-Deformed Eckart Potential

Antia, A. , Okon, I. , Akankpo, A. and Usanga, J. (2020) Non-Relativistic Bound State Solutions of Modified Quadratic Yukawa plus q-Deformed Eckart Potential. Journal of Applied Mathematics and Physics, 8, 660-671. doi: 10.4236/jamp.2020.84051.