Affiliation:
1. Institut für Theoretische Physik, Johannes Kepler Universität Linz, 4040 Linz, Austria
Abstract
It is shown that Schrödinger's equation may be derived from three postulates. The first is a kind
of statistical metamorphosis of classical mechanics, a set of two relations which are obtained from
the canonical equations of particle mechanics by replacing all observables by statistical averages.
The second is a local conservation law of probability with a probability current which takes the
form of a gradient. The third is a principle of maximal disorder as realized by the requirement of
minimal Fisher information. The rule for calculating expectation values is obtained from a fourth
postulate, the requirement of energy conservation in the mean. The fact that all these basic relations
of quantum theory may be derived from premises which are statistical in character is interpreted as
a strong argument in favor of the statistical interpretation of quantum mechanics. The structures of
quantum theory and classical statistical theories are compared, and some fundamental differences are
identified.
Subject
General Physics and Astronomy
Cited by
9 articles.
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