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Quantum theory of angular momentum. Irreducible tensors, spherical harmonics, vector coupling coefficients, \(3nj\) symbols. Transl. from the Russian. (English. Russian original) Zbl 0725.00003
Singapore etc.: World Scientific Publishing. x, 514 p. $ 76.00/hbk; $ 36.00/pbk (1989).
Having grown up with the slim book by Edmonds, I found the size of this handbook at first quite enormous. But the authors did a very good job of collecting and compiling the ample material on the subject of irreducible tensors, spherical harmonics, vector coupling coefficients and \(3nj\) symbols \((n=1,2,3,4)\). Although without proofs (but mostly with references), the accompanying text is rather exhaustive, so that the book is easy to read and things you need are easy to find. Tables comparing different definitions used by different authors are helpful, too. At the end the graphical method - with all definitions and rules arranged in tables - is presented in detail.
[The Russian original was published by Nauka, Leningrad (1975)]

00A79 Physics (Use more specific entries from Sections 70-XX through 86-XX when possible)
81R05 Finite-dimensional groups and algebras motivated by physics and their representations
81-02 Research exposition (monographs, survey articles) pertaining to quantum theory