Skip navigation
Skip navigation

The distribution of r⋅p in quantum mechanical systems

Bernard, Yves; Gill, Peter

Description

The position–momentum dot product (`posmom') s = r·p of a particle is a quantum mechanical observable. In principle, its density S(s) can be derived from the position or momentum wavefunction using Mellin transforms but this leads to complicated integrals and it has therefore been largely neglected by the molecular physics community. However, we show that S(s) can be obtained easily as the Fourier transform of the hyperbolic autocorrelation of the wavefunction. Our findings are illustrated...[Show more]

CollectionsANU Research Publications
Date published: 2009-08-13
Type: Journal article
URI: http://hdl.handle.net/10440/984
http://digitalcollections.anu.edu.au/handle/10440/984
Source: New Journal of Physics
DOI: 10.1088/1367-2630/11/8/083015

Download

File Description SizeFormat Image
Bernard_Distribution2009.pdf766.22 kBAdobe PDFThumbnail


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  23 August 2018/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator