Quantum Fluctuations Contribution to the Random Walk of a Single Molecule and New Estimate of the Planck Constant

Details Quantum Fluctuations Contribution to the Random Walk of a Single Molecule and New Estimate of the Planck Constant Quantum Fluctuations Contribution to the Random Walk of a Single Molecule and New Estimate of the Planck Constant

2010-01-03

arxiv.org/abs/1001.0342v1

Physics

Quantum Physics

5 pages, 1 figure

Scientific paper

It is shown, by considering the case of the harmonic oscillator, that quantum fluctuations may be the most significant contribution to the random walk of a single molecule. From this point, the controversy on the existence of a standard quantum limit (SQL) is addressed and settled on the experimental ground. Comparisons to the experimental data yet avalaible in the literature provide a new estimate of the reduced Planck constant yielding \hbar = (1.1 \pm 0.2) ~ 10^{-34} J.s.

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