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Hochstenbach, W. J. M. A.

Quasi-free photon states and the Poincaré group. (English) Zbl 0498.46059

Commun. Math. Phys. 82, 511-521 (1982).
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MSC:

46N99 Miscellaneous applications of functional analysis
81V10 Electromagnetic interaction; quantum electrodynamics
22E70 Applications of Lie groups to the sciences; explicit representations
81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations

Keywords:

quantum electrodynamics; quasi-free states on the quantized free electromagnetic field; strongly continuous unitary representation; Poincare group; GNS construction; Weyl system; projectively covariant; classes of sectors containing coherent states; first cohomology group; Poincare covariant representation; Fock sector
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References:

[1] Glauber, R.J.: Phys. Rev.84, 395–400 (1951) · Zbl 0044.43603 · doi:10.1103/PhysRev.84.395
[2] Kibble, T.W.B.: J. Math. Phys.9, 315–324 (1968) · doi:10.1063/1.1664582
[3] Roepstorff, G.: Commun. Math. Phys.19, 301–314 (1970) · Zbl 0202.27305 · doi:10.1007/BF01646637
[4] Reents, G.: J. Math. Phys.15, 31–34 (1974) · doi:10.1063/1.1666497
[5] Provost, J.P., Rocca, F., Vallée, G.: J. Math. Phys.16, 832–833 (1975) · doi:10.1063/1.522613
[6] Kraus, K., Polley, L., Reents, G.: Ann. Inst. Henri Poincaré26, 110–162 (1977)
[7] Basarab-Horwath, P., Streater, R.F., Wright, J.: Commun. Math. Phys.68, 195–207 (1979) · doi:10.1007/BF01221124
[8] Kraus, K., Streater, R.F.: J. Phys. A14, 2467–2478 (1981)
[9] Polley, L., Reents, G., Streater, R.F.: J. Phys. A14, 2479–2488 (1981)
[10] Basarab-Horwath, P., Polley, L.: J. Phys. A14, 3029–3038 (1981)
[11] Greenberg, O.W.: Ann. Phys.16, 158–176 (1961) · Zbl 0099.23103 · doi:10.1016/0003-4916(61)90032-X
[12] Robinson, D.W.: Commun. Math. Phys.1, 159–174 (1965) · doi:10.1007/BF01646498
[13] Araki, H., Woods, E.J.: J. Math. Phys.4, 637–662 (1963) · doi:10.1063/1.1704002
[14] Lewis, J.T., Pulè, J.V.: Commun. Math. Phys.36, 1–18 (1974) · doi:10.1007/BF01646022
[15] Hochstenbach, W.J.M.A.: Commun. Math. Phys.80, 217–221 (1981) · Zbl 0494.22014 · doi:10.1007/BF01213011
[16] Manuceau, J., Verbeure, A.: Commun. Math. Phys.9, 293–302 (1968) · Zbl 0167.55902 · doi:10.1007/BF01654283
[17] Manuceau, J., Rocca, F., Testard, D.: Commun. Math. Phys.12, 43–57 (1969) · Zbl 0172.27303 · doi:10.1007/BF01646434
[18] Daele, A. van, Verbeure, A.: Commun. Math. Phys.20, 268–278 (1971) · Zbl 0208.38301 · doi:10.1007/BF01646623
[19] Daele, A. van: Commun. Math. Phys.21, 171–191 (1971) · Zbl 0211.44002 · doi:10.1007/BF01647117
[20] Shale, D.: Trans. Am. Math. Soc.103, 149–167 (1962) · doi:10.1090/S0002-9947-1962-0137504-6
[21] Reed, M., Simon, B.: Methods of modern mathematical physics, Vol. 3. Scattering theory. New York, London: Academic Press 1979 · Zbl 0405.47007
[22] Araki, H.: Publ. RIMS5, 361–422 (1970) · Zbl 0238.22014 · doi:10.2977/prims/1195194390
[23] Guichardet, A.: Bull. Sc. Math.95, 161–176 (1971);98, 201–208 (1974)
[24] Guichardet, A.: Bull. Sc. Math.96, 305–332 (1972)
[25] Greenleaf, F.P.: Invariant means on topological groups. New York, Toronto, London, Melbourne: Van Nostrand-Reinhold Company 1969 · Zbl 0174.19001
[26] Fell, J.M.G.: Can. J. Math.14, 237–268 (1962) · Zbl 0138.07301 · doi:10.4153/CJM-1962-016-6
[27] Schaaf, M.: The reduction of the product of two irreducible unitary representations of the proper orthochronous quantummechanical Poincaré group. Berlin, Heidelberg, New York: Springer 1970 · Zbl 0245.22022
[28] Gaal, S.A.: Linear analysis and representation theory. Berlin, Heidelberg, New York: Springer 1973 · Zbl 0275.43008
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