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Inquantum mechanics, aHeisenberg cut, is the hypothetical interface between quantum events and anobserver's information,knowledge, orconscious awareness. Below the cut everything is governed by thewave function andSchrödinger equation; above the cut aclassical description is used.[1] The Heisenberg cut is a theoretical construct; it is not known whether actual Heisenberg cuts exist, where they might be found, or how they could be detected experimentally. However, the concept is useful for analysis.[1][2][3][4]
The cut is named afterWerner Heisenberg who first raised the idea during the 1929Como Conference, during the discussions that followedNiels Bohr's introduction of the principle ofcomplementarity.[5]
The Heisenberg cut is associated with theCopenhagen interpretation of quantum mechanics, which requires awave function collapse.[6] Interpretations of quantum mechanics that do not recognise wave function collapse (such asDe Broglie–Bohm ormany-worlds interpretations) do not require Heisenberg cuts.
Heisenberg stated the concept in many different ways in his work, for example, in 1952 he writes:[7]
In this situation it follows automatically that, in a mathematical treatment of the process, a dividing line must be drawn between, on the one hand, the apparatus which we use as an aid in putting the question and thus, in a way, treat as part of ourselves, and on the other hand, the physical systems we wish to investigate. The latter we represent mathematically as a wave function. This function, according to quantum theory, consists of a differential equation which determines any future state from the present state of the function... The dividing line between the system to be observed and the measuring apparatus is immediately defined by the nature of the problem but it obviously signifies no discontinuity of the physical process. For this reason there must, within limits, exist complete freedom in choosing the position of the dividing line.
The idea that the result of measurement does not depend on the location of the cut was shown byJohn von Neumann in his 1933 bookMathematical Foundations of Quantum Mechanics.Wolfgang Pauli informed Heisenberg of this in a letter in 1933.[5]