Hartree-Fock Approximation for Inverse Many-Body Problems

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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4 pages, 2 figures, revtex

Scientific paper

10.1103/PhysRevLett.84.4517

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.

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