Euclidean-covariant representations of the nonrelativisitic current group
Teoretičeskaâ i matematičeskaâ fizika, Tome 20 (1974) no. 2, pp. 170-176 Cet article a éte moissonné depuis la source Math-Net.Ru

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Methods developed earlier in the theory of representations of canonical commutation relations are used to construct Euelidean-eovariant representations of the nonrelativistic current group.
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E. V. Damaskinsky. Euclidean-covariant representations of the nonrelativisitic current group. Teoretičeskaâ i matematičeskaâ fizika, Tome 20 (1974) no. 2, pp. 170-176. http://geodesic.mathdoc.fr/item/TMF_1974_20_2_a2/

[1] R. F. Dashen, D. H. Sharp, Phys. Rev., 165 (1968), 1857 | DOI

[2] D. H. Sharp, Phys. Rev., 165 (1968), 1866 | DOI

[3] C. G. Callan, R. F. Dashen, D. H. Sharp, Phys. Rev., 165 (1968), 1883 | DOI

[4] H. Sugawara, Phys. Rev., 170 (1968), 1659 | DOI

[5] K. Bardakci, Y. Frishman, M. B. Halpern, Phys. Rev., 170 (1968), 1353 | DOI

[6] W. J. Pardee, L. Schlessinger, J. Wright, Phys. Rev., 175 (1968), 2140 | DOI

[7] C. Sommerfield, Phys. Rev., 176 (1968), 2019 | DOI

[8] I. Grodnik, D. H. Sharp, Phys. Rev., D6 (1970), 1531 | MR

[9] I. Grodnik, Phys. Rev., D3 (1971), 2955

[10] G. A. Goldin, J. Math. Phys., 12 (1971), 462 ; Currents algebras as unitary representations of groups, Ph. D. Thesis, Princeton Univ., 1968 | DOI | MR

[11] A. A. Dicke, G. A. Goldin, Phys. Rev., D5 (1972), 845

[12] Ch. W. Newman, Commun. Math. Phys., 26 (1972), 169 | DOI | MR

[13] I. Ya. Arefeva, TMF, 10 (1972), 223

[14] H. Araki, Hamiltonian formalism and the canonical commutation relations in quantum field theory, Ph. D. Thesis, Princeton Univ., 1960 | MR

[15] H. Araki, J. Math. Phys., 1 (1960), 492 | DOI | MR | Zbl

[16] H. Araki, Publ. PIMS, 5 (1969/70), 361 | MR

[17] E. V. Damaskinskii, TMF, 15 (1973), 70 | MR

[18] E. V. Damaskinskii, TMF, 15 (1973), 221 | MR | Zbl

[19] I. M. Gelfand, N. Ya. Vilenkin, Obobschennye funktsii, vyp. 4. Nekotorye primeneniya garmonicheskogo analiza. Osnaschennye gilbertovy prostranstva, Fizmatgiz, 1961 | MR

[20] H. Fukutome, Progr. Theor. Phys., 23 (1960), 989 | DOI | MR | Zbl

[21] G. C. Hegerfeldt, O. Melsheimer, Commun. Math. Phys., 12 (1969), 304 | DOI | MR | Zbl

[22] L. Girardello, W. Wyss, Helv. Phys. Acta, 45 (1972), 197

[23] E. V. Damaskinskii, P. P. Kulish, “O svoistvakh predstavlenii ob'edinennoi kalibrovochnoi gruppy”, Tezisy simpoziuma «Noveishie problemy gravitatsii», Moskva, 1973 | Zbl

[24] J. K. Klauder, Acta Phys. Austriaca, Suppl., 8 (1971), 227; Commun. Math. Phys., 18 (1970), 307 | DOI | MR | Zbl

[25] J. K. Klauder, Phys. Rev. Lett., 28 (1972), 769 | DOI | MR

[26] G. C. Hegerfeldt, J. K. Klauder, Nuovo Cim., 10A (1972), 723 | DOI | MR

[27] F. A. Berezin, UMN, 24 (1969), 65 | MR

[28] H. Araki, Commun. Math. Phys., 20 (1971), 9 | DOI | MR | Zbl

[29] Ole A. Nielsen, Commun. Math. Phys., 22 (1971), 23 | DOI | MR

[30] G. C. Hegerfeldt, J. Math. Phys., 13 (1972), 45 | DOI | MR | Zbl

[31] A. A. Kirillov, Elementy teorii predstavleniya, «Nauka», 1972 | MR

[32] V. S. Varadarajan, Geometry of quantum theory, vol. II, Van Nostrand, 1970 | MR | Zbl