Schrodinger equation from an exact uncertainty principle

Details Schrodinger equation from an exact uncertainty principle Schrodinger equation from an exact uncertainty principle

2001-02-13

arxiv.org/abs/quant-ph/0102069v3

J. Phys. A 35 (2002) 3289-3303 www.iop.org/EJ

Physics

Quantum Physics

Latex, 18pp, nature of fluctuations & differences from stochastic mechanics clarified

Scientific paper

10.1088/0305-4470/35/14/310

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. Thus there is an exact formulation of the uncertainty principle which precisely captures the essence of what is "quantum" about quantum mechanics.

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