Geodesic
Method of functional equivalents in the theory of angular momentum
Teoretičeskaâ i matematičeskaâ fizika, Tome 25 (1975) no. 1, pp. 97-107 Cet article a éte moissonné depuis la source Math-Net.Ru

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The method is proposed by means of which certain operations over $c$-number functions can be put into correspondence with operations over the fuctions of noncommuting angular momentum operators. With the aid of projection operators, the rule ofl calculating the traces in the subspace of spin / is formulated in functional terms. Functional equivalents of the most widely used operators are found. Relations between atomic coherent states of different types are discussed. 
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V. V. Zverev; V. G. Pokazan'ev; Yu. I. Yalyshev. Method of functional equivalents in the theory of angular momentum. Teoretičeskaâ i matematičeskaâ fizika, Tome 25 (1975) no. 1, pp. 97-107. http://geodesic.mathdoc.fr/item/TMF_1975_25_1_a11/

[1] E. Wigner, Phys. Rev., 40 (1932), 749 | DOI | Zbl

[2] G. S. Agarwal, E. Wolf, Phys. Rev., D2 (1970), 2161 | MR | Zbl

[3] G. S. Agarwal, E. Wolf, Phys. Rev., D2 (1970), 2187 | MR | Zbl

[4] G. S. Agarwal, E. Wolf, Phys. Rev., D2 (1970), 2206 | MR | Zbl

[5] Kogerentnye sostoyaniya v kvantovoi teorii, «Mir», 1972 | MR

[6] F. I. Arecchi, E. Courtens, R. Gilmore, H. Thomas, Phys. Rev., A6 (1972), 2211 | DOI

[7] J. M. Radcliff, J. Phys., A4 (1971), 313 | MR

[8] L. M. Narducci, C. Alton Coulter, C. M. Bowden, Phys. Rev., A9 (1974), 829 | DOI

[9] R. Bonifacio, Dae M. Kim, M. O. Scully, Phys. Rev., 187 (1969), 441 | DOI

[10] P. W. Atkins, J. C. Dobson, Proc. Roy. Soc. Lond., A321 (1971), 321 | DOI | MR

[11] R. J. Glauber, Phys. Rev., 131 (1963), 2766 | DOI | MR

[12] S. V. Peletminskii, A. A. Yatsenko, TMF, 16 (1973), 260

[13] V. Bargmann, Rev. Mod. Phys., 34 (1962), 829 | DOI | MR | Zbl

[14] S. V. Peletminskii, A. A. Yatsenko, TMF, 3 (1970), 287

[15] F. A. Berezin, Metod vtorichnogo kvantovaniya, Fizmatgiz, 1965 | MR | Zbl