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.

4 pages, 2 figures, revtex

References in corpus (1)

• A Bayesian Approach to Inverse Quantum Statistics

Cited by in corpus (4)

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• Reconstruction of signals with unknown spectra in information field theory with parameter uncertainty
• Bayesian Field Theory: Nonparametric Approaches to Density Estimation, Regression, Classification, and Inverse Quantum Problems
• Inverse N-body scattering with the time-dependent Hartree-Fock approximation