Average electron momenta in many-electron atoms |
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Authors: | T. Koga |
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Affiliation: | (1) Department of Applied Chemistry, Muroran Institute of Technology, Muroran, Hokkaido 050-8585, Japan |
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Abstract: | In many-electron atoms, the average electron momentum p represents the mean momentum of a single electron when all the electron motions are averaged. If any two electrons are considered simultaneously, however, the average momentum p splits into two different momenta, low momentum p< and high momentum p>. For the 102 atoms He through Lr in their ground states, the momenta p< and p> are systematically examined at the Hartree–Fock limit level. It is also shown that the sum p>+p< and the difference p>–p< of the two momenta constitute upper and lower bounds to the electron-pair relative momentum p12=|p1–p2| and to the electron-pair center-of-mass momentum P=|p1+p2|/2. The tightness of the bounds is discussed for the 102 atoms. |
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Keywords: | Electron momenta Splitting Electron-pair momenta Upper and lower bounds Many-electron atoms |
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