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Information Sciences Letters

Information Sciences Letters

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

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