科研之友
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摘要
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 Schrodinger equation for the ManningRosen 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.
