Elvira Romera 2002 J. Phys. B: At. Mol. Opt. Phys. 35 L309 doi:10.1088/0953-4075/35/13/104
Electron-pair uncertainty relationships and the intracule-extracule isomorphism
FREE ARTICLEElvira Romera
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Electron-pair uncertainty relationships of generalized Heisenberg type in quantum mechanics are formulated. They express restrictions imposed by quantum theory on the electron-pair intracule (relative motion) and extracule (centre-of-mass motion) densities in the two complementary spaces by means of the corresponding statistical moments. These relations are shown to reduce to an elementary or Heisenberg form when the intracule-extracule isomorphism holds. The validity of this isomorphism is also discussed for some special systems.
- PACS
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31.15.V- Electron correlation calculations for atoms, ions and molecules
03.75.Hh Static properties of condensates; thermodynamical, statistical and structural properties
- Subjects
- Dates
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Issue 13 (14 July 2002)
Received 19 April 2002, in final form 22 May 2002
Published 25 June 2002
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Electron-pair uncertainty relationships and the intracule-extracule isomorphism
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