Schrödinger equation from an exact uncertainty principle

Michael J.W. Hall; Marcel Reginatto

doi:10.1088/0305-4470/35/14/310

Schrödinger equation from an exact uncertainty principle

Michael J.W. Hall^*
, Marcel Reginatto

^*Corresponding author for this work

Department of Fundamental & Theoretical Physics

Research output: Contribution to journal › Article › peer-review

114 Citations (Scopus)

Abstract

An exact uncertainty principle, formulated as the assumption that a classical ensemble is subject to random momentum fluctuations of a strength which is determined by and scales inversely with uncertainty in position, leads from the classical equations of motion to the Schrödinger equation.

Original language	English
Pages (from-to)	3289-3303
Number of pages	15
Journal	Journal of Physics A: Mathematical and General
Volume	35
Issue number	14
DOIs	https://doi.org/10.1088/0305-4470/35/14/310
Publication status	Published - 12 Apr 2002

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abstract = "An exact uncertainty principle, formulated as the assumption that a classical ensemble is subject to random momentum fluctuations of a strength which is determined by and scales inversely with uncertainty in position, leads from the classical equations of motion to the Schr{\"o}dinger equation.",

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Schrödinger equation from an exact uncertainty principle

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