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J Sex Med
October 2024
Department of Psychiatry and Psychotherapy, University of Regensburg, Universitaetsstrasse 84, Regensburg 93053, Germany.
Found Phys
September 2014
NuHAG, Faculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria.
The aim of the famous Born and Jordan 1925 paper was to put Heisenberg's matrix mechanics on a firm mathematical basis. Born and Jordan showed that if one wants to ensure energy conservation in Heisenberg's theory it is necessary and sufficient to quantize observables following a certain ordering rule. One apparently unnoticed consequence of this fact is that Schrödinger's wave mechanics cannot be equivalent to Heisenberg's more physically motivated matrix mechanics unless its observables are quantized using rule, and the more symmetric prescription proposed by Weyl in 1926, which has become the standard procedure in quantum mechanics.
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