FHI, Berlin
The proof of entanglement on the basis of the variables position and momentum was the primary suggestion by Einstein, Rosen and Podolsky to distinguish between a quantum mechanical versus a local realistic description of our world. This paper reports on an effort to realize this proposal by employing dichotomic variables g, u and f, b for position and momentum, respectively. The result is a proof of quantum mechanics as in all former, mostly photon polarization, based studies. Our experiments regarding the entanglement of these variables reveal, that Bell type measurements of spatial variables, such as position and momentum, are a transformation between two complementary representations of them, the coherent and localized representations into each other. This process emerges along a transformation angle Θ connecting the two systems which is experimentally varied by the correlation-angle of coincident electron-ion detection.
