title: On the generation of operator equivalents and the calculation of their matrix elements.
abstract: 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.
authors.affiliation: Institute of the Lithosphere of Marginal Seas, Russian Academy of Sciences, Staromonetniy 22, Moscow, 109180, Russia.
authors.forename: I D
authors.initials: ID
authors.lastname: Ryabov
mesh_terms: D000465:Algorithms; D009682:Magnetic Resonance Spectroscopy