APS » PROLA » Phys. Rev. Lett. » Volume 84 » Issue 20

Phys. Rev. Lett. 84, 4517 - 4520 (2000)

Hartree-Fock Approximation for Inverse Many-Body Problems
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J. C. Lemm and J. Uhlig
Institut für Theoretische Physik I, Universität Münster, 48149 Münster, Germany

Received 26 August 1999; revised 20 December 1999

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.


©2000 The American Physical Society

URL: http://link.aps.org/abstract/PRL/v84/p4517
DOI: 10.1103/PhysRevLett.84.4517
PACS: 03.65.-w, 02.50.-r, 21.60.Jz, 71.10.-w

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