Origin of the irrational part contained in the angular numerical factors of matrix elements of the Coulomb operator | Zendy

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Origin of the irrational part contained in the angular numerical factors of matrix elements of the Coulomb operator

Author(s) -

Sureau A.

Publication year - 1971

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.560050602

Subject(s) - formalism (music) , irrational number , coulomb , operator (biology) , mathematical physics , quantization (signal processing) , physics , second quantization , matrix (chemical analysis) , quantum mechanics , chemistry , mathematics , quantum , creation and annihilation operators , geometry , algorithm , electron , gene expression , art , musical , biochemistry , repressor , chromatography , visual arts , gene

By means of second quantization formalism and angular momenta coupling techniques, we show the reason why the irrational part of the coefficients of the Slater integrals R k ( ab , cd ) in the expression \documentclass{article}\pagestyle{empty}\begin{document}$ (\Psi |\sum\limits_{i < j} {e^2 /r_{ij} |\Psi } ') $\end{document} is common to all values of k , a , b , c , d , and depends only on (Ψ∣ and ∣Ψ′).

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