Quantum mechanics from a Heisenberg-type equality

Details Quantum mechanics from a Heisenberg-type equality Quantum mechanics from a Heisenberg-type equality

2002-01-19

arxiv.org/abs/quant-ph/0201084v1

Fortschritte der Physik 50 (2002) 646-651

Physics

Quantum Physics

Latex, 6 pages, contribution to the symposium "100 Years of Werner Heisenberg - Works and Impact" in Bamberg, to appear in For

Scientific paper

The usual Heisenberg uncertainty relation for position and momentum may be replaced by an exact equality, for suitably chosen measures of position and momentum uncertainty. This "exact" uncertainty relation is valid for_all_ pure states, and is sufficiently strong to provide an axiomatic basis for moving from classical mechanics to quantum mechanics. In particular, the assumption of a nonclassical momentum fluctuation, having a strength which scales inversely with uncertainty in position, leads from the classical equations of motion to the Schroedinger equation.

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