Volume 83, Number 1, July 2008
|Number of page(s)||4|
|Published online||18 June 2008|
Simultaneous measurement of coordinate and momentum on a von Neumann lattice
Department of Physics, Technion-Israel Institute of Technology - Haifa 32000, Israel
Corresponding authors: firstname.lastname@example.org email@example.com firstname.lastname@example.org
Accepted: 24 May 2008
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 = M1M2, with M1 and M2 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.
PACS: 03.65.-w – Quantum mechanics / 04.60.Ds – Canonical quantization / 04.60.Nc – Lattice and discrete methods
© EPLA, 2008
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.