Geodesic
Tensor properties of second-quantization operators and analysis of composite physical systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 34 (1978) no. 2, pp. 185-197 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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. 
@article{TMF_1978_34_2_a5,
     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},
     pages = {185--197},
     year = {1978},
     volume = {34},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1978_34_2_a5/}
}
TY  - JOUR
AU  - V. P. Karassiov
AU  - P. P. Karasev
AU  - L. A. Shelepin
TI  - Tensor properties of second-quantization operators and analysis of composite physical systems
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1978
SP  - 185
EP  - 197
VL  - 34
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1978_34_2_a5/
LA  - ru
ID  - TMF_1978_34_2_a5
ER  - 
%0 Journal Article
%A V. P. Karassiov
%A P. P. Karasev
%A L. A. Shelepin
%T Tensor properties of second-quantization operators and analysis of composite physical systems
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1978
%P 185-197
%V 34
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1978_34_2_a5/
%G ru
%F TMF_1978_34_2_a5
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/

[1] B. Dzhadd, Vtorichnoe kvantovanie i atomnaya spektroskopiya, «Mir», 1970

[2] B. Dzhadd, B. Vaiborn, Teoriya slozhnykh atomnykh spektrov, «Mir», 1973

[3] V. Fock, Z. Phys., 49 (1928), 339 | DOI | Zbl

[4] J. Schwinger, Quantum Theory of Angular Momentum, eds. L. G. Biedenharn, H. van Dam, Academic Press, N. Y., 1965, 229 | MR

[5] V. Bargmann, Commun. Pure and Appl. Math., 14 (1961), 187 ; Rev. Mod. Phys., 34 (1962), 829 | DOI | MR | Zbl | DOI | MR | Zbl

[6] V. P. Karasev, Kr. soobsch. po fiz. FIAN SSSR, 1976, no. 4, 21

[7] V. P. Karasev, L. A. Shelepin, TMF, 29 (1976), 71 | MR

[8] V. P. Karasev, L. A. Shelepin, Kr. soobsch. po fiz. FIAN SSSR, 1977, no. 1, 23 | MR

[9] G. S. Agarwal, E. Wolf, Phys. Rev., D2 (1970), 2161 ; 2187 ; (1970), 2206 | MR | Zbl | Zbl | Zbl

[10] N. Burbaki, Algebra (mnogochleny i polya, uporyadochennye gruppy), «Nauka», 1965 | MR

[11] G. E. Baird, L. C. Biedenharn, J. Math. Phys., 4 (1963), 1449 ; W. J. Holman, L. C. Biedenharn, Group Theory and Its Applications, v. 2, ed. E. M. Loebl, N. Y., 1971, 1 ; J. D. Louck, M. A. Lohe, L. C. Biedenharn, J. Math. Phys., 16 (1975), 2408 | DOI | MR | DOI | MR | DOI | MR | Zbl

[12] G. Veil, Klassicheskie gruppy, ikh invarianty i predstavleniya, IL, 1947

[13] V. P. Karasev, L. A. Shelepin, Tr. FIAN SSSR, 87 (1976), 55 ; A. C. T. Wu, J. Math. Phys., 13 (1972), 84 ; 14 (1973), 1922 | MR | DOI | Zbl | MR

[14] L. A. Shelepin, Tr. FIAN SSSR, 70 (1973), 3

[15] V. P. Karasev, Tr. FIAN SSSR, 70 (1973), 147 | MR

[16] D. P. Zhelobenko, Kompaktnye gruppy Li i ikh predstavleniya, «Nauka», 1970 | MR | Zbl

[17] D. A. Varshalovich, A. N. Moskalev, V. K. Khersonskii, Kvantovaya teoriya uglovogo momenta, «Nauka», 1975

[18] A. Isikhara, Statisticheskaya fizika, «Mir», 1973 | MR

[19] F. A. Berezin, Metod vtorichnogo kvantovaniya, «Nauka», 1965 | MR