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Linear symmetries of free boson fields. (English) Zbl 0171.46901


MSC:

81Txx Quantum field theory; related classical field theories
46N50 Applications of functional analysis in quantum physics

Keywords:

quantum theory
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References:

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[11] I. E. Segal, Foundations of the theory of dynamical systems of infinitely many degrees of freedom. I, Mat.-Fys. Medd. Danske Vid. Selsk. 31 (1959), no. 12, 39 pp. (1959). · Zbl 0085.21806
[12] I. E. Segal, Foundations of the theory of dyamical systems of in- finitely many degrees of freedom. II, Canad. J. Math. 13 (1961), 1 – 18. · Zbl 0098.22104 · doi:10.4153/CJM-1961-001-7
[13] -, The characterisation of the physical vacuum, to appear.
[14] B. Sz.Nagy, Spectraldarstellungen linearer Transformationen des hilbertschen Räume, Springer-Verlag, Berlin, 1942.
[15] L. van Hove, Sur certaines représentations unitaires d’un groupe infini de transformations, Mémoires de Acad. Roy. de Belg. No. 1618 (1951). · Zbl 0045.38701
[16] J. v. Neumann, Die Eindeutigkeit der Schrödingerschen Operatoren, Math. Ann. 104 (1931), no. 1, 570 – 578 (German). · JFM 57.1446.01 · doi:10.1007/BF01457956
[17] H. Weyl, Gruppentheorie und Quantenmechanik, 2d ed., Leipzig, 1931. · JFM 57.1579.01
[18] N. Wiener, The Fourier integral, Dover, New York, 1951.
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