Iterative solutions to quantum-mechanical problems

We have shown @Phys. Rev. Lett. 80, 3673 ~1998!# that the wave-function representation C~j! 5( ja j@E#j Rb(j), developed in either configuration or momentum space for a suitable reference function Rb(j), defines a highly accurate, multidimensional, energy-quantization procedure, once the convergent zeros of the power-series expansion coefficients a j@E#50 ( j→`) are determined. In this paper we amplify the underlying analysis and also examine some of the consequences for generating accurate wave functions. @S1050-2947~98!04210-3#