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Two-electron atomic wave functions which satisfy proportionality relations between one-and two-electron moments

Authors:	Toshikatsu Koga

Affiliation:	(1) Department of Applied Chemistry and Department of Applied Science for Energy, Muroran Institute of Technology, Muroran, 050 Hokkaido, Japan

Abstract:	Based on momentum- and position-space analyses of the moment operators for two-electron atoms, it is shown that there exists a family of two-electron wave functions which satisfy a proportionality relation, r/₁^v/r₁₂^v =p/₁^v/p₁₂^v=2^–v/2, between the one and two-electron moments in position and momentum spaces, where v is an arbitrary number for which the moments are well-defined.

Keywords:	Two-electron atomic wave function One- and two-electron moments Momentum space
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