Tensor properties of second-quantization operators and analysis of composite physical systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 34 (1978) no. 2, pp. 185-197

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A covar[ant formulation of the method of second quantization is proposed on the basis of differentiation in the algebra of boson operators and their tensor properties; it enables one to take into account explicitly the symmetry properties of the investigated objects. As an application of the method, the general scheme is given for constructing a unified closed formalism for the groups $SU_n$ that significantly simplifies the calculation of the generating invariants, the normalized Clebsch–Gordan coefficients and their combinations. The results obtained are important for analyzing composite systems and coherent phenomena.
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     author = {V. P. Karassiov and P. P. Karasev and L. A. Shelepin},
     title = {Tensor properties of second-quantization operators and analysis of composite physical systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {34},
     number = {2},
     year = {1978},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1978_34_2_a5/}
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V. P. Karassiov; P. P. Karasev; L. A. Shelepin. Tensor properties of second-quantization operators and analysis of composite physical systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 34 (1978) no. 2, pp. 185-197. http://geodesic.mathdoc.fr/item/TMF_1978_34_2_a5/