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Notes towards the construction of nonlinear relativistic quantum fields. II: The basic nonlinear functions in general space-times.-III: Properties of the \(C^*\)-dynamics for a certain class of interactions. (English) Zbl 0196.28005


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quantum theory
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[1] Irving Segal, Notes toward the construction of nonlinear relativistic quantum fields. I. The Hamiltonian in two space-time dimensions as the generator of a \?*-automorphism group, Proc. Nat. Acad. Sci. U.S.A. 57 (1967), 1178 – 1183. · Zbl 0162.57801
[2] Irving Segal, Nonlinear functions of weak processes. I, J. Functional Analysis 4 (1969), 404 – 456. · Zbl 0187.39201
[3] 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
[4] Irving Segal, Nonlinear functions of weak processes. I, J. Functional Analysis 4 (1969), 404 – 456. · Zbl 0187.39201
[5] Irving Segal, Nonlinear functions of weak processes. I, J. Functional Analysis 4 (1969), 404 – 456. · Zbl 0187.39201
[6] I. Segal, Local non-commutative analysis, Proc. Sympos. in Honor of S. Bochner (Princeton, 1968) (to appear).
[7] G. C. Wick, The evaluation of the collision matrix, Physical Rev. (2) 80 (1950), 268 – 272. · Zbl 0040.13006
[8] Irving Segal, Interprétation et solution d’équations non linéaires quantifiées, C. R. Acad. Sci. Paris 259 (1964), 301 – 303.
[9] L. Gårding and A. S. Wightman, Fields as operator-valued distributions in relativistic quantum field theory, Ark. Fys. 28 (1964), 129. · Zbl 0138.45401
[10] I. E. Segal, Hypermaximality of certain operators on Lie groups, Proc. Amer. Math. Soc. 3 (1952), 13 – 15. · Zbl 0049.35704
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