Generalized spherical functions in the theory of many-electron atoms

✍ Scribed by Z. B. Rudzikas; J. M. Kaniauskas

• Publisher: John Wiley and Sons
• Year: 1976
• Tongue: English
• Weight: 578 KB
• Volume: 10
• Category: Article
• ISSN: 0020-7608
• DOI: 10.1002/qua.560100513

✦ Synopsis

Abstract

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.