The Schr(o)dinger equation with the Hulthén potential is studied by working in a complete square integrable basis that carries a tridiagonal matrix representation of the wave operator.The arbitrary e-wave solutio...The Schr(o)dinger equation with the Hulthén potential is studied by working in a complete square integrable basis that carries a tridiagonal matrix representation of the wave operator.The arbitrary e-wave solutions are obtained by using an approximation of the centrifugal term.The resulting three-term recursion relation for the expansion coefficients of the wavefunction is presented and the wavefunctions are expressed in terms of the Jocobi polynomial.The discrete spectrum of the bound states is obtained by the diagonalization of the recursion relation.展开更多
基金Supported partly by the Scientific Research Foundation of the Education Department of Shaanxi Province under Grant No 2010JK539.
文摘The Schr(o)dinger equation with the Hulthén potential is studied by working in a complete square integrable basis that carries a tridiagonal matrix representation of the wave operator.The arbitrary e-wave solutions are obtained by using an approximation of the centrifugal term.The resulting three-term recursion relation for the expansion coefficients of the wavefunction is presented and the wavefunctions are expressed in terms of the Jocobi polynomial.The discrete spectrum of the bound states is obtained by the diagonalization of the recursion relation.
