Literature cited
M. Guenin, “On the interaction picture,” Commun. Math. Phys.,3, 1 (1966).
I. E. Segal, “Notes toward the construction of nonlinear relativistic quantum fields. I. The Hamiltonian in two space—time dimension as the generator of a C *-automorphism group,” Proc. Nat. Acad. Sci., USA,57, 5 (1967).
H. F. Trotter, “On the product of semigroups of operators,” Proc. Amer. Math. Soc.,10, 2 (1959).
R. T. Moore, “Measurable, continuous, and smooth vectors for semigroups and group representations,” Mem. Amer. Math. Soc., 78 (1968).
J. Glimm and A. Jaffe, “A λϕ4 quantum field theory without cutoffs,” I,176, 5 (1968).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 26, No. 1, pp. 67–70, January–February, 1974.
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Burban, I.M. On the existence of a heisenberg dynamics. Ukr Math J 26, 53–56 (1974). https://doi.org/10.1007/BF01086047
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DOI: https://doi.org/10.1007/BF01086047