A method is suggested for the calculation of the matrix elements of the logarithm of an operator which gives the exact wavefunction when operating on the wavefunction in the one‐electron approximation. The method is based on the use of the creation and annihilation operators, hole—particle formalism, Wick's theorem, and the technique of Feynman‐like diagrams. The connection of this method with the configuration‐interaction method as well as with the perturbation theory in the quantum‐field theoretical form is discussed. The method is applied to the simple models of nitrogen and benzene molecules. The results are compared with those obtained with the configuration‐interaction method considering all possible configurations within the chosen basis of one‐electron functions.
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1 December 1966
Research Article|
December 01 1966
On the Correlation Problem in Atomic and Molecular Systems. Calculation of Wavefunction Components in Ursell‐Type Expansion Using Quantum‐Field Theoretical Methods
Jiří Čížek
Jiří Čížek
Institute of Physical Chemistry, Czechoslovak Academy of Sciences, Prague, Czechoslovakia
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J. Chem. Phys. 45, 4256–4266 (1966)
Article history
Received:
May 17 1966
Citation
Jiří Čížek; On the Correlation Problem in Atomic and Molecular Systems. Calculation of Wavefunction Components in Ursell‐Type Expansion Using Quantum‐Field Theoretical Methods. J. Chem. Phys. 1 December 1966; 45 (11): 4256–4266. https://doi.org/10.1063/1.1727484
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