Quantum mechanics from a Heisenberg-type equality
Quantum Physics
2015-06-26 v1
Abstract
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.
Cite
@article{arxiv.quant-ph/0201084,
title = {Quantum mechanics from a Heisenberg-type equality},
author = {Michael J. W. Hall and Marcel Reginatto},
journal= {arXiv preprint arXiv:quant-ph/0201084},
year = {2015}
}
Comments
Latex, 6 pages, contribution to the symposium "100 Years of Werner Heisenberg - Works and Impact" in Bamberg, to appear in Fortschritte der Physik