A group‐theoretical scheme is introduced to classify the states of an atomic system having two open shells. States labeled according to this scheme may be written ,where the quasispins QA and QB are coupled together to form a total quasispin Q. Although these states are, in general, mixtures of different configurations , it is found that they serve as a convenient basis for the calculation of matrix elements in (lA + lB)N. The matrix elements of operators between the states of two configurations are obtained from these matrix elements by means of a unitary transformation. As an example matrix elements of the Coulomb interaction within (f + p)N are calculated.
REFERENCES
1.
2.
3.
4.
5.
B. R. Judd, “Group Theory in Atomic Spectroscopy,” in Group Theory and Its Applications, E. M. Loebl, Ed. (Academic Press Inc., New York, 1968);
H. T. Wadzinski, thesis, The Johns Hopkins University, 1968.
6.
A. K.
Kerman
, R. D.
Lawson
, and M. H.
Macfarlane
, Phys. Rev.
124
, 162
(1961
).7.
B. R. Judd, Second Quantization and Atomic Spectroscopy (The Johns Hopkins Press, Baltimore, Md., 1967).
8.
9.
10.
A. P. Jucys, I. B. Levinson, and V. V. Vanagas, Mathematical Apparatus of the Theory of Angular Momentum (Israel Program for Scientific Translations, Jerusalem, 1962).
11.
A. R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton University Press, Princeton, N.J., 1960).
12.
E. U. Condon and G. H. Shortley, The Theory of Atomic Spectra (Cambridge University Press, New York, 1935).
13.
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© 1969 The American Institute of Physics.
1969
The American Institute of Physics
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