The Analytical Representations of the Potential Matrix Elements for H₂ Molecule in Hyperspherical Coordinates

This paper has given the analytical representations the potential matrix elements when solving Schrodinger equation directly in nonregular hyperspherical coordinates, and also given the induced proass. In the induction, we introduce the Fourier transformation and 9-dimension vectr to expand the potential functions into hyperspherical harmonic functions. In the mean time, we also utilized some characters of Saalschutzian generalized hypergeometric functions,Wigner coefficient and Roach Coefficient.