Born rule
Proper noun
Meaning
the Born rule
(quantum mechanics) A key postulate of quantum mechanics, giving the probability that a measurement of a quantum system will yield a given result. In its simplest form, it states that the probability density of finding a particle at a given point, when measured, is proportional to the square of the magnitude of the particle's wavefunction at that point.
Synonym: Born's rule
Examples
Decision theory A decision-theoretic derivation of the Born rule from Everettarian assumptions, was produced by David Deutsch (1999) Deutsch, D. (1999).
But the typicality theorem shows that, in the absence of some specific reason to believe that one of those special initial conditions was in fact realized, the Born rule behavior is what one should expect.
In summary, in a universe governed by the de Broglie–Bohm dynamics, Born rule behavior is typical.
It is in that qualified sense that the Born rule is, for the de Broglie–Bohm theory, a theorem rather than (as in ordinary quantum theory) an additional postulate.
Similarly, in the de Broglie–Bohm theory, there are anomalous initial conditions that would produce measurement statistics in violation of the Born rule (i.
Simon Saunders: Derivation of the Born rule from operational assumptions.