Turkish Journal of Physics
The Asymptotic Iteration Method for the Eigenenergies of the Complex Potential V(x) = \gamma x^4 + i \beta x^3 + i \alpha x
Recently, three complex potentials V(x) = i x^3,V(x) = i x^3 + i \alpha x, and V(x) = x^4 + i \alpha x have been studied in the literature. Here, we combine these potentials in one. With the aid of the asymptotic iteration method we have numerically calculated the eigenenergies of the new complex potential. The obtained numerical results are compared with those obtained by using the WKB, EMM, and MRF methods and found to be in an excellent agreement. We discuss how an adjustable parameter \zeta can help to improve our results.
on-Hermitian potential, Schrödinger equation, the asymptotic iteration method, an adjustable parameters
SOUS, ABDALLAH JAMIEL (2008) "The Asymptotic Iteration Method for the Eigenenergies of the Complex Potential V(x) = \gamma x^4 + i \beta x^3 + i \alpha x," Turkish Journal of Physics: Vol. 32: No. 3, Article 2. Available at: https://journals.tubitak.gov.tr/physics/vol32/iss3/2