title: Hartree-fock approximation for inverse many-body problems
abstract: A new method is presented to reconstruct the potential of a quantum mechanical many-body system from observational data, combining a nonparametric Bayesian approach with a Hartree-Fock approximation. A priori information is implemented as a stochastic process, defined on the space of potentials. The method is computationally feasible and provides a general framework to treat inverse problems for quantum mechanical many-body systems.
authors.affiliation: Institut fur Theoretische Physik I, Universitat Munster, 48149 Munster, Germany.
authors.initials: JC
authors.lastname: Lemm
authors.initials: J
authors.lastname: Uhlig