Access the full text.
Sign up today, get unlimited access with DeepDyve Pro!
The quark model of the atomic f shell , in which the angular properties of the states of the electrons are represented by the quark configuration (s+f)4, is generalized by assigning spins I=2 and 1 ...
by an operator R. The R classification of the annihilation and creation operators for the electrons in an atomic l shell leads to several new Lie groups , among which is SO(6l+3). Racah's Coulomb operators ei ...
Lie or Racah algebra [ I ] enters physics in such a variety of ways, i.e., as in the treatment of atomic and nuclear shell models, etc. In the development of Racah algebra, much valuable work ...
of configurations involving equivalent g electrons (and those of higher azimuthal quantum number [) there is no analogue of the exceptional Lie group Gz that Racah found so useful in his studies of the atomic f shell ...
was considered, and concentrate here on a of the Poincare´ group Lie algebra in the relativis- case of a particle moving in the space with two spatial dimensions.The mass shell ...
of the didodecahedron) is a subgroup of the exceptional Lie group G2, which Racah used in his analysis of the f shell , but it is not a subgroup of SO(3), the group of rotations in physical space. The sequence O(7 ...
and the work pioneered by Racah in using Lie groups to disentangle complex atomic spectra. These studies concentrate on the spin and angular momentum coupling of several electrons in an open shell ...
groups . One way to do this is to imagine the 24/ +2 states of an atomic l shell as arising from the coupling in SO(2l + 1) of four inequivalent quasi-particles, each of which is labeled by the elementary ...
A theoretical study has been made of the satellite x-ray lines in sulphur which lie on the high-energy side of the strong K1,2 lines. It is shown that a satisfactory account of the K3,4 group ...
arising from the same sp" or s 2 p n ( n = 2,3,4) electron configuration i main- group atoms . 0 1996 John Wiley & n Sons, Inc. Introduction n open- shell electron configuration gives rise to various multiplet ...
Access the full text.
Sign up today, get unlimited access with DeepDyve Pro!