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Fermi surface determination from momentum density projections

The problem of determining a metal's Fermi surface from measurements of projections of the electron or electron/positron momentum densities, such as obtained by Compton Scattering or Angular Correlation of Positron Annihilation Radiation, respectively, is considered in a Bayesian formulation. A consistent approach is presented and its advantages compared to previous practice is discussed. A validation of the proposed method on simulated data shows its systematic accuracy to be very satisfactory and its statistical precision on modest experimental data to be surprisingly good.