Schrödinger equation from an exact uncertainty principle

2001/02/28 by Michael J. W. Hall, Michael J W Hall, Marcel Reginatto · 5 citations
Physics and Astronomy · #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #Statistical Mechanics and Entropy #quant-ph

paper · pdf · doi:10.1088/0305-4470/35/14/310

published as J. Phys. A 35 (2002) 3289-3303 www.iop.org/EJ · Latex, 18pp, nature of fluctuations & differences from stochastic mechanics clarified

openalex publication_date 2002/03/28 · arxiv created 2002/04/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

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.

Citations

• Theory of Statistical Estimation

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