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The distribution of r⋅p in quantum mechanical systems

Bernard, Yves; Gill, Peter


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
Source: New Journal of Physics
DOI: 10.1088/1367-2630/11/8/083015


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