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Generalized spherical functions in the theory of many‐electron atoms
Author(s) -
Rudzikas Z. B.,
Kaniauskas J. M.
Publication year - 1976
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.560100513
Subject(s) - wave function , physics , electron , coupling (piping) , matrix (chemical analysis) , relativistic quantum chemistry , scheme (mathematics) , quantum mechanics , quantum electrodynamics , classical mechanics , mathematics , mathematical analysis , chemistry , mechanical engineering , chromatography , engineering
A new method for finding non‐relativistic and relativistic wave‐functions of an electron moving in the field of a nuclear charge in the jj coupling scheme is proposed. It is based on the usage of generalized spherical functions. The mathematical apparatus necessary to find the expressions for matrix elements of the non‐relativistic and relativistic energy or electron transition operators is developed. The formulas obtained for these matrix elements are more convenient than those usually used in jj coupling scheme; only their radial integrals and some phase multipliers depend on orbital quantum numbers.