Schrödinger equation from an exact uncertainty principle

By Michael J. W. Hall, M. Reginatto. 2001

139 citations recorded by the source corpus.

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 Schrodinger equation.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a6dac3c38239309e1a10a1e8dc1e65d946c7f90d

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In Atomic and Molecular Physics, and Optics

1. Youquan Zheng
2. Guoyuan Chen

In Statistical and Nonlinear Physics

1. Youquan Zheng
2. Guoyuan Chen

Citations in the corpus

• Concentration phenomenon for fractional nonlinear Schr\"{o}dinger equations (2013, background): “Hall and Reginatta [44] showed that the Schrodinger equation can be derived from the exactly uncertainty principle.”