Expansion and one-range addition theorems for complete orthonormal sets of spinor wave functions and Slater spinor orbitals of arbitrary half-integral spin in position, momentum and four-dimensional spaces

Autor:	Guseinov, I. I.
Rok vydání:	2010
Předmět:	Mathematical Physics Physics - Chemical Physics
Druh dokumentu:	Working Paper
Popis:	The analytical relations in position, momentum and four-dimensional spaces are established for the expansion and one-range addition theorems of relativistic complete orthonormal sets of exponential type spinor wave functions and Slater spinor orbitals of arbitrary half-integral spin. These theorems are expressed through the corresponding nonrelativistic expansion and one-range addition theorems of the spin-0 particles introduced by the author. The expansion and one-range addition theorems derived are especially useful for the computation of multicenter integrals over exponential type spinor orbitals arising in the generalized relativistic Dirac-Hartree-Fock-Roothaan theory when the position, momentum and four-dimensional spaces are employed. Comment: 7 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1009.4031 Zobrazit plný text záznamu View this record from Arxiv