AbstractsThe mirror reflection symmetry which consists in the correlation of the substitution j -. -j -1 with the reflection of the coordinate system and of m + -m with the reflection of the space with respect to the xy-plane has been applied to the quasi-spin formalism. The phases of the wave functions of the shell of equivalent atomic electrons treated as partially filled, as they relate to those when the same shell is treated as almost filled, have been established. The mirror reflection symmetry has been generalized for the supplementary quantum numbers used for distinguishing the terms of the same kind. The phases of the coefficients of fractional parentage of almost filled shell enabling us to determine them from those of partially filled shell have been specified. Corresponding phase relations for the matrix elements of operators have also been considered. La symttrie de la refltxion de miroir, qui consiste en la corrtlation de la substitution j + -j -1 avec la refltxion du systeme des coordonntes par rapport au plan xy et de m + -m avec celle-ci d'espace, a t t t adoptte au formalisme de quasi-spin. Les phases des fonctions d'onde de la couche des electrons atomiques equivalents traitte c o m e partiellernent remplie reliant a celles-ci dans le cas d'une couche presque remplie ont t t t ttablies. La symttrie de la refltxion de miroir a t t t generaliste aux nombres quantiques suppltmentaires, qui sont utilisks a distinguer les termes de la mkme espPce. Les phases des coefficients de parentage fractionel de la couche presque remplie permettant de les determiner de ceux de la couche partiellment remplie, ont ttt specifites. Les relations correspondantes des eltments des matrices des optrateurs ont C t t aussi considerees.Es wurde die Spiegelungssymmetrie die in der Zusammenstellung der Widerspiegelung des Koordinatensystems in Hinsicht der xy-Flache mit der Einsetzung j + -j -1 und derselben des Raumes mit m -. -m besteht, zu dem Quasi-Spin-Formalismus angewandt.Es wurden die Phasen der Wellenfunktionen der Schalen der aquivalenten Atomelektronen, betrachtet als teilweise abgeschlossen, die mit der Wellenfunktionen derselben Schale, betrachtet als fast abgeschlossen, in Verbindung bringen, festgesetzt.
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