Schrödinger equation from an exact uncertainty principle

Michael J.W. Hall*, Marcel Reginatto

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

107 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 languageEnglish
Pages (from-to)3289-3303
Number of pages15
JournalJournal of Physics A: Mathematical and General
Volume35
Issue number14
DOIs
Publication statusPublished - 12 Apr 2002

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