Notes towards the construction of nonlinear relativistic quantum fields. III: Properties of the $C^*$-dynamics for a certain class of interactions
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- by Irving Segal PDF
- Bull. Amer. Math. Soc. 75 (1969), 1390-1395
References
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1. I. Segal, Notes toward the construction of nonlinear relativistic quantum fields.
- Irving Segal, Notes toward the construction of nonlinear relativistic quantum fields. I. The Hamiltonian in two space-time dimensions as the generator of a $C^{\ast }$-automorphism group, Proc. Nat. Acad. Sci. U.S.A. 57 (1967), 1178–1183. MR 214344, DOI 10.1073/pnas.57.5.1178
- I. E. Segal, Tensor algebras over Hilbert spaces. I, Trans. Amer. Math. Soc. 81 (1956), 106–134. MR 76317, DOI 10.1090/S0002-9947-1956-0076317-8
- Einar Hille, A class of reciprocal functions, Ann. of Math. (2) 27 (1926), no. 4, 427–464. MR 1502747, DOI 10.2307/1967695
- Edward Nelson, A quartic interaction in two dimensions, Mathematical Theory of Elementary Particles (Proc. Conf., Dedham, Mass., 1965) M.I.T. Press, Cambridge, Mass., 1966, pp. 69–73. MR 0210416
- I. E. Segal, Mathematical characterization of the physical vacuum for a linear Bose-Einstein field. (Foundations of the dynamics of infinite systems. III), Illinois J. Math. 6 (1962), 500–523. MR 143519
- Tsuyoshi Andô, Positive linear operators in semi-ordered linear spaces, J. Fac. Sci. Hokkaido Univ. Ser. I. 13 (1957), 214–228. MR 0092127
- Irving Segal, Nonlinear functions of weak processes. I, J. Functional Analysis 4 (1969), 404–456. MR 0249061, DOI 10.1016/0022-1236(69)90007-x
Additional Information
- Journal: Bull. Amer. Math. Soc. 75 (1969), 1390-1395
- MSC (1959): Primary 4748, 8146; Secondary 2846, 8135
- DOI: https://doi.org/10.1090/S0002-9904-1969-12429-8
- MathSciNet review: 0251992