Linearkombination Hermite 'scher Orthogonalfunktionen, ein Verfahren zur Behandlung eindimensionaler Molekel‐Modelle der Quanten‐Chemie. 1. Mitteilung

If a particle moves in a one‐dimensional field V(x) given as a polynomial of even order (V (x) = v 0 + v 1 x + v 2 x 2 + v k z k ; k even) and if the corresponding wave‐function ψ(x) is approximated by a linear combination Φ(x) of hermitean orthogonal functionsthen it can be shown that the matrix elements of the secular determi‐ nant can be easily calculated in closed form as functions of n without involving further approximations.