This monograph presents a complete guide to the theory of modern spectroscopy of atoms. Atomic spectroscopy continues to be one of the most important subjects of contemporary physics. The book describes the contemporary state of the theory of many-electron atoms and ions, the peculiarities of their structure and spectra, the processes of their interaction with radiation, and some of the applications of atomic spectroscopy. It contains a large number of new results, which have been published mainly in Russian and are therefore almost unknown to western scientists. Primarily a reference for researchers and graduate students in atomic physics and physical chemistry, this work will also be of value to physicists and chemists in other areas who use spectroscopy in their work.

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AbslractsA new method for finding non-relativistic and relativistic wave-functions of an electron moving in the field of a nuclear charge in the j j 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 j j coupling scheme; only their radial integrals and some phase multipliers depend on orbital quantum numbers.On propose une nouvelle mtthode pour construire des fonctions d'onde d'un tlectron dans le champ d'une charge nucltaire, dans le schtma de couplage jj. Elle est baste sur I'utilisation des functions spheriques gtntralisees. On dtveloppe le formalisme mathtmatique ntcessaire pour calculer les expressions des Cldments des matrices de I'tnergie non-relativiste et relativiste et des optrateurs de transitions Clectroniques. Ces formules conviennent mieux que celles qu'on utilise ordinairement dans le schtma de couplage j j ; les inttgrales radiales ainsi que certains multiplicateurs de phase dtpendent des nombres quantiques secondaires.Eine neue Methode wird vorgeschlagen um nicht-relativistische und relativistische Wellenfunktionen fur ein im Feld einer Kernladung bewegenden Elektron in jj-Kopplung zu finden. Diese Methode basiert auf die Anwendung von verallgerneinerten Kugelflachenfunktionen. Der fur die Berechnung der Matrixelemente der Energie-und Ubergangsoperatoren gebrauchte Formalismus wird entwickelt. Die fur diese Matrixelemente erhaltenen Formeln sind einfacher als die ublichen Formeln. Nur die Radial-integrale und einige Phasenfaktoren hangen von den azimutalen Quantenzahlen ah.