Correlation coefficient and electron correlation
- 1 May 1980
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 21 (5) , 1376-1377
- https://doi.org/10.1103/physreva.21.1376
Abstract
The correlation coefficient which is used in mathematical statistics is evaluated for an exactly soluble electron correlation problem. Our results show that a wave function with a very "negative" correlation coefficient is not necessarily energetically (hence variationally) a good approximation to the exact wave function. We discuss the importance of this result vis-a-vis the notion in the literature that the correlation coefficient provides a useful tool for analyzing approximate wave functions.Keywords
This publication has 4 references indexed in Scilit:
- Angular and radial correlation effects in momentum space for H-, He and Li+Journal of Physics B: Atomic and Molecular Physics, 1977
- Coulomb holes and correlation coefficients for electronic shells: The Be-like ionsThe Journal of Chemical Physics, 1977
- Excited states of He: the behaviour of interelectronic angular distribution functionsJournal of Physics B: Atomic and Molecular Physics, 1975
- Correlation Coefficients for Electronic Wave FunctionsPhysical Review B, 1968