Phys. Rev. A 58, 2708–2720 (1998)Iterative solutions to quantum-mechanical problemsReceived 4 May 1998; published in the issue dated October 1998 We have shown [Phys. Rev. Lett. 80, 3673 (1998)] that the wave-function representation Ψ(ξ)=∑jaj[E]ξjRβ(ξ), developed in either configuration or momentum space for a suitable reference function Rβ(ξ), defines a highly accurate, multidimensional, energy-quantization procedure, once the convergent zeros of the power-series expansion coefficients aj[E]=0(j⃗∞) are determined. In this paper we amplify the underlying analysis and also examine some of the consequences for generating accurate wave functions. © 1998 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.58.2708
DOI:
10.1103/PhysRevA.58.2708
PACS:
03.65.Ge, 02.30.Hq
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