Hartree-fock approximation for inverse many-body problems
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.
Lemm
JC
Institut fur Theoretische Physik I, Universitat Munster, 48149 Munster, Germany.
Uhlig
J