Shift operators and recurrence relations for Legendre polynomials with noninteger associativity and definite parity

Autor:	Salvador A. Cruz, Eugenio Ley-Koo
Rok vydání:	2017
Předmět:	Physics Matrix (mathematics) Recurrence relation Parity (physics) Symmetry breaking Dihedral angle Multipole expansion Legendre polynomials Associative property Mathematical physics
Zdroj:	Physical and Mathematical Aspects of Symmetries ISBN: 9783319691633
DOI:	10.1007/978-3-319-69164-0_35
Popis:	This is the written version of new results reported at Gr31 in our contribution “O(2) Symmetry Breaking in Dihedrally Confined Atoms and Consequent Modifications of the Periodic Table”. It is focused on identifying new shift operators and recurrence relations for Legendre polynomials with noninteger asociativities and definite parities, due to the dihedral confinement and its O(2) symmetry breaking. Recurrence relations play a key role in evaluating the two-electron matrix elements of their Coulomb repulsion multipole components in the Hartree-Fock calculations for the confined atoms.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::dec5cdd3db6c6a8ea7b3ebffbd903cce https://doi.org/10.1007/978-3-319-69164-0_35 Zobrazit plný text záznamu