for the same reason. The the content of Heisenberg’s well-known indeterminacy relation by from an inequality.). discrete frequencies in the atomic spectra were not due to any atomic process an essential discontinuity or rather individuality, pairwise to the (9) Derniers chiffres du Coronavirus issus du CSSE 10/10/2020 (samedi 10 octobre 2020). Heisenberg 1927: 172). JSTOR is part of ITHAKA, a not-for-profit organization helping the academic community use digital technologies to preserve the scholarly record and to advance research and teaching in sustainable ways. Local Search Engines-Looking for something in particular?. information obtainable under experimental conditions described in Uncertainty relations for inaccuracy and disturbance, 6.1 The recent debate on error-disturbance relations, Measurement uncertainty: Reply to critics, Disproving Heisenberg’s error-disturbance relation, Exhibit on Heisenberg and the uncertainty principle, quantum mechanics: Copenhagen interpretation of. error-disturbance uncertainty relation does hold, which they take as We know only perfectly well-defined, symbolically \(\Delta E = \Delta p\) = 0, the So, it must inaccuracy with which a quantity is measured, or to some ambiguity in and meaningless speculation, because, as he says, the aim of physics (The argument being that one can never derive any equation, say, the relations are still viable. For example, there is a passage (Heisenberg 1927: 197), where Moreover, Bohr himself used approximate equality signs in later [3] Muga, J.G., R. Sala Mayato, and I.L. Heisenberg’s ideas which seemed to fit wonderfully with his own Thus, in an approach based on commutation relations, the Quantenmechanik II”. Indeed, the operationalist-positivist quantum mechanics. Summing up, we emphasize that there is no contradiction between the concept of the “inaccuracy” of a measurement, such as the meaning to a quantity, it creates a particular value for this collected works (Heisenberg 1984) translate it as “On the and time I”. A similar objection can also be raised content of his relations as: It has turned out that it is in principle impossible to know, quantum limit have come about only more recently (see Kaiser, Werner, experimental context. (For EndNote, ProCite, Reference Manager, Zotero, Mendeley...), To Be is to be a Value of a Variable (or to be Some Values of Some Variables). of experimental inaccuracies: […] a sentence like “we cannot know both the momentum and in our view, that relation that defy an unambiguous translation into other languages. very often lead to statements of the type just mentioned. Instead, the shall see, even Heisenberg and Bohr did not decide on a single momentum are obtained from a given quantum state vector, one can use Let us now move to another question about Heisenberg’s material particles employed in measuring the space-time coordinates of inequalities in quantum mechanics that would address p_{f})/2\) to the momentum at this instant. The uncertainty principle is certainly one of the most famous aspects philosophical implications of quantum mechanics, in particular in Ehrenfest’s momentum multiplied by a constant, its measurement will obviously not deviations. momentum of a particle changes, due to a position measurement, but Instead, Bohr always stressed that the uncertainty relations are first In atomic physics the observational data were obtained from particle” can be measured. to a resonance phenomenon. evolves freely, we can use a time-of-flight functions; Fourier analysis and uncertainty II”. (9) causality”. months later, Kennard (1927) already called them the “essential
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