On the generation of operator equivalents and the calculation of their matrix elements.
To find all components T((k))(+/-q) = N(k,q)J(q)(+/-) summation operator(k-q)(m=0) (+/-1)(k-m)a(k, q; m)J(m)(z) (0 </= q </= k) of an irreducible tensor operator of rank k, a recursion formula for the coefficients a(k, q; m) is derived. Various kinds of operator equivalents and forms of their expression are examined. Matrix elements of operator equivalents are expressed through the coefficients a(k, q; m). A table for the coefficients a(k, q; m) with k = 2, 4, and 6 is given.
Ryabov
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ID
Institute of the Lithosphere of Marginal Seas, Russian Academy of Sciences, Staromonetniy 22, Moscow, 109180, Russia.
D000465:Algorithms; D009682:Magnetic Resonance Spectroscopy