Canonical Definition of Wigner Coefficients in Un

Journal of Mathematical Physics - Tập 8 Số 4 - Trang 691-700 - 1967
L. C. Biedenharn1, Alberto Giovannini1, James D. Louck2
1Department of Physics, Duke University, Durham, North Carolina
2Los Alamos Scientific Laboratory, Los Alamos, New Mexico

Tóm tắt

Two general results applicable to the problem of a canonical definition of the Wigner coefficient in Un are demonstrated: (1) the existence of a canonical imbedding of Un × Un into Un2 and (2) a general factorization lemma for operators defined in the boson calculus. Using these results, a resolution of the multiplicity problem for U3 is demonstrated, in which all degenerate operators are shown to split completely upon projection into U2.

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Thông tin
Thông tin xuất bản

Journal of Mathematical Physics

Tập 8 Số 4

691-700

Thông tin tác giả