Schrödinger equation from an exact uncertainty principle

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Published 29 March 2002 • Published under licence by IOP Publishing Ltd
, , Citation Michael J W Hall and Marcel Reginatto 2002 J. Phys. A: Math. Gen. 35 3289 DOI 10.1088/0305-4470/35/14/310

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Author affiliations

1 Theoretical Physics, IAS, Australian National University, Canberra, ACT 0200, Australia

2 US Department of Energy, Environmental Measurements Laboratory, New York, NY 10014-4811, USA

3 Present address: Physikalisch-Technische Bundesanstalt, Bundesallee 100, 38116 Braunschweig, Germany.

Dates

  1. Received 10 December 2001
  2. Published

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0305-4470/35/14/3289

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.

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