Graphical method for computing the determinant and inverse of a matrix. Generating functions for harmonic oscillator integrals

J -J Labarthe · Journal of Physics A Mathematical and General · 1978

A graph G with n vertices is associated with the n*n matrix x. Det x and x ij -1 are expressed in terms of sums over sets of subgraphs of G. The method is used to compute generating functions for products of overlaps involving harmonic oscillator wavefunctions.

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