Author(s)

Abdallah J. Sous

Al-Quds Open University, Tulkarm, Palestine.

By using the asymptotic iteration method, we have calculated numerically the eigenvalues E_n of the hyperbolic single wave potential which is introduced by H. Bahlouli, and A. D. Alhaidari. They found a new approach (the “potential parameter” approach) which has been adopted for this eigenvalues problem. For a fixed energy, the problem is solvable for a set of values of the potential parameters (the “parameter spectrum”). This paper will introduce a related work to complete the goal of finding the eigenvalues, the Schr?dinger equation with hyperbolic single wave potential is solved by using asymptotic iteration method. It is found that asymptotically this method gives accurate results for arbitrary parameters, V_0, γ, and λ.

Schrodinger Equation, Asymptotic Iteration Method, The Hyperbolic Single Wave Potential, Numerical Eigenenergies

Sous, A. (2015) The Asymptotic Iteration Method for the Eigenenergies of the a Novel Hyperbolic Single Wave Potential. Journal of Applied Mathematics and Physics, 3, 1406-1411. doi: 10.4236/jamp.2015.311168.