Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
33 (1992), S. 1964-1969
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
In atomic or nuclear shell theory the quadratic Casimir operators can be used to evaluate the expectation values of two-body interactions among equivalent members of a shell. Racah has given closed expressions for these Casimir operators for all the groups in the Racah chain. In this paper an alternate derivation of these closed expressions based on duality with the symmetric group is given. The derivation allows extension of these expressions to situations in which equivalent spins are in an environment, such as a point group, for which the two-body interactions separate into distinct sets. Possible application to NMR systems with spin ≥1/2 are discussed.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.529671
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