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A study of the connected moments expansions for the correlation energy via an exactly soluble problem
Author(s) -
Cioslowski J.
Publication year - 1987
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560320756
Subject(s) - correlation , limit (mathematics) , energy (signal processing) , moment (physics) , ground state , physics , statistical physics , mathematics , quantum mechanics , mathematical analysis , geometry
The recently developed connected moment expansions ( CMXS ) for the ground state energy are tested on an exactly soluble N ‐body problem. For a weak correlation limit the second order CMXS reproduce the correlation energy exactly, whereas for a strong correlation limit they account for half of the correlation energy. Going to higher orders, the CMX ‐ LT approximation appears to be the most effective one. The results indicate that the CMX technique should be promising for the calculation of the correlation energy of other systems.