Two-electron atomic wave functions which satisfy proportionality relations between one-and two-electron moments |
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| Authors: | Toshikatsu Koga |
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| Institution: | (1) Department of Applied Chemistry and Department of Applied Science for Energy, Muroran Institute of Technology, Muroran, 050 Hokkaido, Japan |
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| 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
 /r
12
v
=p/
1
v
/p
12
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. |
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| Keywords: | Two-electron atomic wave function One- and two-electron moments Momentum space |
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