Abstract
Abstract In this article a new method for solving the multi-dimensional Schrödinger-equation for electrons and nuclei will be discussed. It is shown by application of integral transformations and by use of space-filling curves how the multi-dimensional Schrödinger-equation can be replaced by an one dimensional integral equation. Furthermore the problems of accuracy arising due to the use of this approximative treatment are pointed out. The presented method can be stated without the Born-Oppenheimer approximation and the application of determinants for fitting the wave function is discussed in a new one-dimensional point of view.
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