We have shown [Phys. Rev. Lett. 80, 3673 (1998)] that the wave-function representation Ψ(ξ)$={\sum }_j{a}_j\left[E\right]{\xi }^j{R}_{\beta }\left(\xi \right),$ developed in either configuration or momentum space for a suitable reference function $R_{\beta }\left(\xi \right),$ defines a highly accurate, multidimensional, energy-quantization procedure, once the convergent zeros of the power-series expansion coefficients $a_j\left[E\right]=0\mathrm{}\left(\overrightarrow{j}\infty \right)$ are determined. In this paper we amplify the underlying analysis and also examine some of the consequences for generating accurate wave functions.

• Received 4 May 1998

DOI:https://doi.org/10.1103/PhysRevA.58.2708