Four-Parameter Potential Function with Negative Energy Bound States

Authors

T. J. Taiwo, Department of Mathematics, University of Benin, Benin City, Edo State 300283, Nigeria.Follow

Abstract

Using the Tridiagonal Representation Approach (A method where we work in a complete set of square integrable basis that carries a tridiagonal matrix representation for the wave operator. Consequently, the matrix wave equation becomes a three-term recursion relation for the expansion coefficients of the wavefunction. Finding a solution of this recursion relation in terms of orthogonal polynomials is equivalent to solving the original problem) we obtain solutions for a new four-parameter one-dimensional potential function. We obtained the energy spectrum and corresponding wavefunction. PACS numbers: 03.65.Ge, 03.65.Fd, 34.80.Bm, 03.65.Ca

Recommended Citation

J. Taiwo, T. (2019) "Four-Parameter Potential Function with Negative Energy Bound States," Information Sciences Letters: Vol. 8 : Iss. 1 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol8/iss1/3