Physics and the measurement of continuous variables

Details Physics and the measurement of continuous variables Physics and the measurement of continuous variables

2007-12-18

arxiv.org/abs/0712.3045v1

Physics

Quantum Physics

20 pages

Scientific paper

10.1007/s10701-007-9203-z

Wigner had expressed the opinion that the impossibility of exact measurements of single operators like position operators rendered the notion of geometrical points somewhat dubious in physics. Using Sewell's recent resolution of the measurement problem (collapse of the wave packet) in quantum mechanics and extending it to the measurement of operators with continuous spectra, we are able to compare the situation in quantum mechanics with that in quantum mechanics. Our conclusion is that the notion of a geometrical point is as meaningful in quantum mechanics as it is in classical mechanics.

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