The distribution of r⋅p in quantum mechanical systems

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dc.contributor.authorBernard, Yves
dc.contributor.authorGill, Peter
dc.date.accessioned2009-11-01T23:17:08Zen_US
dc.date.accessioned2010-12-20T06:05:34Z
dc.date.available2009-11-01T23:17:08Zen_US
dc.date.available2010-12-20T06:05:34Z
dc.date.issued2009-08-13en_US
dc.date.updated2016-02-24T10:43:01Z
dc.description.abstractThe 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 using numerical results for various states of a harmonic oscillator, a hydrogenic ion and particles in a box.
dc.format15 pages
dc.identifier.citationNew Journal of Physics 11.083015 (2009)
dc.identifier.issn1367-2630en_US
dc.identifier.urihttp://hdl.handle.net/10440/984en_US
dc.identifier.urihttp://digitalcollections.anu.edu.au/handle/10440/984
dc.publisherInstitute of Physics Publishing
dc.rightshttp://www.iop.org/EJ/journal/-page=extra.copyright/NJP "NJP’s copyright statement allows authors and their institutions to reproduce, distribute and communicate the published version of their article to the public. Under this agreement NJP authors may: post the published version of their article on their own personal website, on their employer’s website/repository and on free public servers in their subject area." and "Third parties have the same rights to reuse articles in NJP as described in the Creative Commons Attribution-Non-Commercial-ShareAlike 2.5 license. These open access rights allow third-party users to copy, distribute and display the published version of articles in NJP, and create derivative works, subject to appropriate attribution and non-commercial exploitation." - from journal web site (as at 19/02/10)
dc.sourceNew Journal of Physics
dc.source.urihttp://www.iop.org/EJ/article/1367-2630/11/8/083015/njp9_8_083015.pdf?request-id=6f4e65eb-5181-4007-8fab-4f88de5b306aen_US
dc.source.urihttp://www.iop.org/EJ/article/1367-2630/11/8/083015/njp9_8_083015.htmlen_US
dc.subjectKeywords: Harmonic oscillators; Hydrogenic ion; Mellin transform; Numerical results; Quantum mechanical; Quantum-mechanical system; Wave-functions; Oscillators (electronic); Mathematical transformations
dc.titleThe distribution of r⋅p in quantum mechanical systems
dc.typeJournal article
local.bibliographicCitation.startpage15
local.contributor.affiliationBernard, Yves, Research School of Chemistryen_US
local.contributor.affiliationGill, Peter, Research School of Chemistryen_US
local.contributor.authoruidu4362137en_US
local.contributor.authoruidu1586534en_US
local.identifier.absfor030701en_US
local.identifier.ariespublicationu4217927xPUB395en_US
local.identifier.citationvolume11
local.identifier.doi10.1088/1367-2630/11/8/083015
local.identifier.scopusID2-s2.0-69249129112
local.identifier.thomsonID000268991800004
local.identifier.uidSubmittedByu8402810en_US
local.type.statusPublished Versionen_US

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