Theory of complete orthonormal sets of relativistic tensor wave functions and Slater tensor orbitals of particles with arbitrary spin in position, momentum and four-dimensional spaces

Autor:	I.I. Guseinov
Rok vydání:	2009
Předmět:	Physics Cartesian tensor Quantum mechanics Slater–Condon rules General Physics and Astronomy Position and momentum space Tensor Complete active space Wave function Slater-type orbital Basis set
Zdroj:	Physics Letters A. 373:2178-2181
ISSN:	0375-9601
DOI:	10.1016/j.physleta.2009.04.025
Popis:	Using the complete orthonormal basis sets of nonrelativistic and quasirelativistic orbitals introduced by the author in previous papers for particles with arbitrary spin the new analytical relations for the 2 ( 2 s + 1 ) -component relativistic tensor wave functions and Slater tensor orbitals in position, momentum and four-dimensional spaces are derived, where s = 1 / 2 , 1 , 3 / 2 , 2 , … . The relativistic tensor function sets are expressed through the corresponding nonrelativistic and quasirelativistic orbitals. The analytical formulas for overlap integrals over relativistic Slater tensor orbitals in position space are also derived.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::11fddc8548d4296d38d51f97b69711e4 https://doi.org/10.1016/j.physleta.2009.04.025 Zobrazit plný text záznamu Full Text from ScienceDirect