SOLVING THE SCHRODINGER-EQUATION AS A ONE -DIMENSIONAL PROBLEM .1. THE FORMALISM

In this article a new method for solving the multi-dimensional Schrodi nger-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 Schrodinger-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 po inted out. The presented method can be stated without the Born-Oppenhe imer approximation and the application of determinants for fitting the wave function is discussed in a new one-dimensional point of view.