Extracting the wave-function in quantum mechanics from intensity measurements

Existing methods for Green’s function extraction give the Green’s function that accounts for wave propagation between two points from the correlation of field fluctuations recorded at those points. In this work it is shown that the Green’s function of the Schrödinger equation can be retrieved from intensity measurements taken from three experiments where two time-harmonic sources first operate separately, and then simultaneously. This makes it possible to infer the phase and amplitude of the wave-function from intensity measurements over a closed surface surrounding both sources.