@article{AIHPA_1982__37_2_93_0, author = {Dimock, J. and Kay, Bernard S.}, title = {Classical wave operators and asymptotic quantum field operators on curved space-times}, journal = {Annales de l'I.H.P. Physique th\'eorique}, volume = {37}, year = {1982}, pages = {93-114}, mrnumber = {682092}, zbl = {0539.35063}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPA_1982__37_2_93_0} }
Dimock, J.; Kay, Bernard S. Classical wave operators and asymptotic quantum field operators on curved space-times. Annales de l'I.H.P. Physique théorique, Tome 37 (1982) pp. 93-114. http://gdmltest.u-ga.fr/item/AIHPA_1982__37_2_93_0/
[1] Introduction to Axiomatic Quantum Field Theory, Benjamin, Reading, Mass., 1975.
, , and ,[2] The electron-positron field coupled to external electromagnetic potentials as an elementary C*-algebra theory, Ann. Phys. (N. Y.), t. 56, 1970, p. 108. | MR 260291
,[3] The Klein paradox as a many particle problem, Annals of Physics, t. 101, 1976, p. 289. | MR 443657
, ,[4] Operator Algebras and Quantum Statistical Mechanics II, Berlin-Heidelberg-New York, Springer, 1981. | MR 611508 | Zbl 0463.46052
and ,[5] Hyperbolic differential equations on a manifold, in Battelle Rencontres, DeWitt and Wheeler, eds. Benjamin, N. Y., 1968. | MR 239299 | Zbl 0169.43202
,[6] On the wave equation in curved space-time, Ann. Inst. Henri Poincaré, t. A 21, 1979, p. 339. | Numdam | MR 574143 | Zbl 0454.58016
, , and ,[7] Quantum scattering by external metrics and Yang-Mills potentials, Ann. Inst. Henri Poincaré, t. A 21, 1979, p. 43. | Numdam | MR 557051 | Zbl 0441.35055
, , ,[8] Scalar quantum field in an external gauge field, J. Math. Phys., t. 20, 1979, p. 1791. | MR 543917 | Zbl 0425.35075
,[9] Scalar quantum field in an external gravitational field, J. Math. Phys., t. 20, 1979, p. 2549. | MR 553516 | Zbl 0455.35105
,[10] Algebras of local observables on a manifold, Commun. Math. Phys., t. 77, 1980, p. 219. | MR 594301 | Zbl 0455.58030
,[11]
, at Buffalo thesis (1982).[12] The Large Scale Structure of Space-time, Cambridge University Press, Cambridge, 1973. | MR 424186 | Zbl 0265.53054
and ,[13] Articles by 676, Springer-Verlag, Berlin-Heidelberg-N. Y., 1978. | MR 519605
and in: Differential Geometric Methods in Mathematical Physics II, Bleuler, Petry, Reetz (eds). Springer Lecture Notes in Mathematics, t.[14] Linear spin zero quantum fields in external gravitational and scalar . fields I, Commun. Math. Phys., t. 62, 1978, p. 55. | MR 506366
,[15] Linear spin zero quantum fields in external gravitational and scalar fields II, Commun. Math., Phys., t. 71, 1980, p. 29. | MR 556899
,[16] A Uniqueness result in the Segal-Weinless approach to linear Bose fields, J. Math. Phys., t. 20, 1979, p. 1712. | MR 543906
,[17] Quantum fields in curved space-times and scattering theory, in: Differential Geometric Methods in Mathematical Physics. Proceedings, 1980. Andersson, Doebner, Petry (eds). Springer Lecture Notes in Mathematics, t. 905, Springer-Verlag. Berlin-Heidelberg-N. Y., 1982. | Zbl 0544.35078
,[18] Hyperbolic Differential Equations, Princeton Lectures Notes, 1953 (unpublished). | MR 80849
,[19] Relativistic quantum theory for charged spinless particles in external vector fields, Commun. Math. Phys., t. 31, 1973, p. 295. | MR 378634
,[20] L2 asymptotes for the Klein-Gordon equation, Proc. Am. Math. Soc., t. 27, 1971, p. 110. | MR 271561 | Zbl 0214.10201
,[21] Strong external fields in Q. E. D. rigorous results. Proceedings of the International Summer School in Heavy Ion Physics, Predeal, Roumania, 1978.
,[22] Quantization of wave equations and hermitian structures in partial differential varieties, Proc. Nat. Acad. Sci. U. S. A., t. 12, 1980, p. 6943. | MR 603063 | Zbl 0469.35065
and ,[23] Methods of Modern Mathematical Physics III, Academic Press, N. Y., 1979. | MR 529429 | Zbl 0405.47007
, ,[24] Gauge invariance and implementability of the S operator for spin 0 and spin 1/2 in time dependent external fields. Journal of Functional Analysis, t. 33, 1979, p. 47. | MR 545384
,[25] Applications of Mathematics to Problems in Theoretical Physics, F. Lurçat (ed.), Gordon and Breach, N. Y., 1967.
, in[26] Particles with spin S ≥ 1 in an external field, in Invariant Wave Equations, Lecture Notes in Physics, t. 73, Springer-Verlag, Berlin-Heidelberg- New York, 1978. | MR 495993
,[27] Linear symmetries of free Bose fields. Trans. Am. Math. Soc., t. 103, 1962, p. 149. | MR 137504 | Zbl 0171.46901
,[28] On factor representations and the C*-algebra of the canonical commutation relations, Commun. Math. Phys., t. 24, 1972, p. 151. | MR 293942 | Zbl 0225.46068
,[29] Existence of the S-matrix in quantum field theory in curved space-time, Ann. Phys. (N. Y.), t. 118, 1979, p. 490. | MR 533774
,[30] Existence and uniqueness of the vacuum for linear quantized fields, J. Funct. Anal., t. 4, 1969, p. 350. | MR 253687 | Zbl 0205.57504
,