Heisenberg, uncertainty, and the scanning tunneling microscope

Details Heisenberg, uncertainty, and the scanning tunneling microscope Heisenberg, uncertainty, and the scanning tunneling microscope

2011-05-19

arxiv.org/abs/1105.3914v3

Frontiers of Physics 7, 218-222 (2012)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

The paper has now been published in Frontiers of Physics. I have added a paragraph at the end citing other work on the foundat

Scientific paper

10.1007/s11467-012-0246-z

We show by a statistical analysis of high-resolution scanning tunneling microscopy (STM) experiments, that the interpretation of the density of electron charge as a statistical quantity leads to a conflict with the Heisenberg uncertainty principle. Given the precision in these experiments we find that the uncertainty principle would be violated by close to two orders of magnitude, if this interpretation were correct. We are thus forced to conclude that the density of electron charge is a physically real, i.e., in principle precisely measurable quantity.

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