arXiv:nucl-th/9908056·v1·Nuclear Theory
Hartree-Fock Approximation for Inverse Many-Body Problems
J. C. Lemm (1)🇩🇪 · J. Uhlig (1) ((1) Muenster University)🇩🇪
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.
Comments: 4 pages, 2 figures, revtex