Effective operator method as a model of multiply charged ions

Autor:	Vasiliy I. Sivtsev, Innokentiy S. Kychkin
Rok vydání:	2021
Předmět:	Physics Matrix (mathematics) symbols.namesake Operator (computer programming) symbols Atom (order theory) Tensor Hamiltonian (quantum mechanics) Wave function Unit (ring theory) Mathematical physics Ion
Zdroj:	9TH INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELING: Dedicated to the 75th Anniversary of Professor V.N. Vragov.
ISSN:	0094-243X
DOI:	10.1063/5.0042179
Popis:	The article suggests replacing the relativistic Hamiltonian of a many-electron atom (ion) with an effective operator. The matrix element of the latter with respect to the nonrelativistic wave functions in the LS-representation is equal to the matrix element of the relativistic Hamiltonian in the j-representation. The effective operator is expressed in terms of the unit tensor operators in the LS -representation. The expansion coefficients of the effective operator are expressed in terms of 3n j-coefficients and one-electron and two-electron matrix elements of the relativistic Hamiltonian.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b2c75bc5fa241d881cf838899113ecfe https://doi.org/10.1063/5.0042179 Zobrazit plný text záznamu