Abstract
By working in a complete square integrable basis that carries a tridiagonal matrix representation of the wave operator, the arbitrary ℓ-wave solutions of the Schrödinger equation for the Manning–Rosen potential is investigated with an approximation of centrifugal term. The resulting three-term recursion relation for the expansion coefficients of the wavefunction is presented. The bound-state wavefunctions are expressed in terms of the Jocobi polynomial, and the discrete spectrum of the bound states is obtained by diagonalization of the recursion relation. © 2011 Wiley Periodicals, Inc. Int J Quantum Chem, 2012
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