Infrared representations of free Bose fields
Doplicher, S. ; Figliolini, F. ; Guido, D.
Annales de l'I.H.P. Physique théorique, Tome 41 (1984), p. 49-62 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1984-01-01
@article{AIHPA_1984__41_1_49_0,
     author = {Doplicher, Sergio and Figliolini, Franca and Guido, Daniele},
     title = {Infrared representations of free Bose fields},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {41},
     year = {1984},
     pages = {49-62},
     mrnumber = {760126},
     zbl = {0557.46040},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1984__41_1_49_0}
}

Doplicher, S.; Figliolini, F.; Guido, D. Infrared representations of free Bose fields. Annales de l'I.H.P. Physique théorique, Tome 41 (1984) pp. 49-62. http://gdmltest.u-ga.fr/item/AIHPA_1984__41_1_49_0/

[1] S. Doplicher, Fock representation and masless particles. Commun. Math. Phys., t. 3, 1966, p. 328.

[2] S. Doplicher, M. Spera, Representations obeying the spectrum condition. Commun. Math. Phys., t. 84, 1982, p. 505. | MR 667757 | Zbl 0515.46064

[3] S. Doplicher, M. Spera, Local normality properties of some infrared representations. Commun. Math. Phys., t. 89, 1983, p. 19. | MR 707769 | Zbl 0523.46045

[4] D. Buchholz, The physical state space of Quantum electrodynamics. Commun. Math. Phys., t. 85, 1982, p. 49. | MR 667767 | Zbl 0506.46052

[5] D. Buchholz, S. Doplicher, Exotic infrared representations of interacting systems. Ann. Inst. Henri Poincaré, 1984. | Numdam | MR 747201 | Zbl 0553.46049

[6] I.E. Segal, Tensor algebras over Hilbert spaces 1, Trans. Amer. Math. Soc., t. 81, 1956, p. 106. | MR 76317 | Zbl 0070.34003

[7] M. Reed, B. Simon, Modern Methods in mathematical Physics, New York, Academic Press, 1975, Vol. II. | Zbl 0308.47002

[8] J. Dixmier, Von Neumann Algebras. Amsterdam, North Holland, 1981. | MR 641217 | Zbl 0473.46040

[9] O. Marechal, Une remarque sur un théorème de Glimm. Bull. Sci. Math., t. 99, 1975, p. 41. | MR 430797 | Zbl 0304.46035

[10] R.T. Powers, Representations of uniformly hyperfinite algebras and their associated rings. Ann. Math., t. 86, 1967, p. 138. | MR 218905 | Zbl 0157.20605

[11] A. Connes, Proceedings of Symposia in Pure Mathematics, t. 38, 1982, Part. 2.

[12] H. Araki, On quasifree states of CCR, I, II, Publ. RIMS, Kyoto Univ., t. 7, 1971- 1972, p. 105. | MR 313834 | Zbl 0239.46066

[13] R.T. Powers, E. Størmer, Free states of the CAR. Commun. Math. Phys., t. 16, 1970, p. 1. | MR 269230 | Zbl 0186.28301

[14] J. Glimm, A Stone Weierstrass theorem for C*-algebras. Bull. Sci. Math., t. 99, 1975, p. 41.

[15] J. Dixmier, C*-algebras and their representations, Amsterdam, New York Oxford, North-Holland, 1980.

[16] R. Haag, R.V. Kadison, D. Kastler, Nets of C*-algebras and classification of states. Commun. Math. Phys., t. 16, 1970, p. 11. | MR 269224 | Zbl 0186.28302

[17] H.J. Borchers, In Cargese Lectures on Theoretical Physics, 1969, D. Kastler (ed.), New York, London, Paris: Gordon and Breach, 1970. | MR 455984

[18] J. Fröhlich, Unpublished.

[19] J. Fröhlich, G. Morchio, F. Strocchi, Charged sectors and scattering states in Quantum Electrodynamics, Ann. Phys., t. 119, 1979, p. 241. | MR 539147

[20] K. Kraus, L. Polley, G. Reents, Generators of infinite direct products of unitary groups. J. Math. Phys., t. 18, 1977, p. 2166. | MR 454735