Measure concentration and the Schrödinger equation

Abstract This talk pursued the aim to represent solutions of electronic Schrödinger equation as traces higher‐dimensional functions. allows decouple electron‐electron interaction potential but comes at price a degenerate elliptic operator replacing Laplace on space. The surprising observation is that this can without much loss again be substituted by operator, more successful larger system under consideration is. due nontrivial concentration measure phenomenon has do with random projection theorem known from probability theory and can, for example, serve building block construction iterative methods map sums products orbitals geminals onto functions same type.