Note on the Separability Theorem for Electron Pairs
- 1 July 1961
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 35 (1) , 78-81
- https://doi.org/10.1063/1.1731935
Abstract
It is shown that, if two functions ΛA(1, 2, 3,...p) and ΛB(1, 2′, 3′,...q′) describing two groups A and B of electrons are orthogonal with respect to electron 1 then there exists a complete orthonormal set of one‐electron functions Φk(1) such that the functions actually occurring with nonvanishing coefficients in the expansion of one of the functions cannot simultaneously occur in the expansion of the other function. This is a generalization of a separation theorem recently found by Arai.Keywords
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