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Notes towards the construction of nonlinear relativistic quantum fields. II: The basic nonlinear functions in general space-times
Author:
Irving Segal
Journal:
Bull. Amer. Math. Soc. 75 (1969), 1383-1389
MSC (1959):
Primary 2846, 8147; Secondary 3495, 4665
Part III:
Bull. Amer. Math. Soc., Volume 75, Number 6 (1969), 1390--1395
MathSciNet review:
0251991
Full-text PDF
References |
Similar Articles |
Additional Information
- 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 𝐶*-automorphism group, Proc. Nat. Acad. Sci.
U.S.A. 57 (1967), 1178–1183. MR 0214344
(35 #5195)
- 2.
Irving
Segal, Nonlinear functions of weak processes. I, J. Functional
Analysis 4 (1969), 404–456. MR 0249061
(40 #2309)
- 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). MR 0112626
(22 #3477)
- 4.
Irving
Segal, Nonlinear functions of weak processes. I, J. Functional
Analysis 4 (1969), 404–456. MR 0249061
(40 #2309)
- 5.
Irving
Segal, Nonlinear functions of weak processes. I, J. Functional
Analysis 4 (1969), 404–456. MR 0249061
(40 #2309)
- 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. MR 0038281
(12,380d)
- 8.
Irving
Segal, Interprétation et solution d’équations
non linéaires quantifiées, C. R. Acad. Sci. Paris
259 (1964), 301–303. MR 0167180
(29 #4453)
- 9.
L. Gårding and A. S. Wightman, Fields as operator-valued distributions in relativistic quantum field theory, Ark. Fys. 28 (1964), 129.
- 10.
I.
E. Segal, Hypermaximality of certain operators
on Lie groups, Proc. Amer. Math. Soc. 3 (1952), 13–15. MR 0051240
(14,448b), http://dx.doi.org/10.1090/S0002-9939-1952-0051240-5
- 1.
- I. Segal, Notes toward the construction of non-linear relativistic quantum fields. I: The Hamiltonian in two space-time dimensions as the generator of a C*-automorphism group, Proc. Nat. Acad. Sci. U.S.A. 57 (1967), 1178-1183. MR 35 #5195. MR 214344
- 2.
- I. Segal, Nonlinear functions of weak processes. I, J. Functional Analysis 4 (1969), 404-456. MR 249061
- 3.
- I. 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. MR 22 #3477. II, Canad J. Math. 13 (1961), 1-18. MR 23 #B1877. III, Illinois J. Math. 6 (1962), 500-523. MR 26 #1075. MR 112626
- 4.
- I. Segal, Local nonlinear functions of quantum fields, Proc. Conf. in Honor of M. H. Stone (Chicago, 1968) (to appear). MR 249061
- 5.
- I. Segal, Nonlinear functions of weak processes. II, J. Functional Analysis (to appear). MR 249061
- 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, Phys. Rev. (2) 80 (1950), 268-272. MR 12, 380. MR 38281
- 8.
- I. Segal, Interprétation et solution d'équations non linéaires quantifiées, C. R. Acad. Sci. Paris 259 (1964), 301-303. MR 29 #4453. MR 167180
- 9.
- L. Gårding and A. S. Wightman, Fields as operator-valued distributions in relativistic quantum field theory, Ark. Fys. 28 (1964), 129.
- 10.
- I. Segal, Hypermaximality of certain operators on Lie groups, Proc. Amer. Math. Soc. 3 (1952), 13-15. MR 14, 448. MR 51240
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1969-12428-6
PII:
S 0002-9904(1969)12428-6
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