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arXiv · 0806.3832

Simultaneous measurement of coordinate and momentum on a von Neumann lattice

A Mann·M Revzen·J Zak
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Abstract

It is shown that on a finite phase plane the $kq$-coordinates and the sites of a von Neumann lattice are conjugate to one another. This elementary result holds when the number $M$ defining the size of the phase plane can be expressed as a product, $M=M_{1}M_{2}$, with $M_{1}$ and $M_{2}$ being relatively prime. As a consequence of this result a hitherto unknown wave function is defined giving the probability of simultaneously measuring the momentum and coordinate on the von Neumann lattice.

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A Mann, M Revzen, J Zak. 2008-06-24. Simultaneous measurement of coordinate and momentum on a von Neumann lattice. https://doi.org/10.1209/0295-5075/83/10007

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