Hunziker, W. The S-matrix in classical mechanics. (English) Zbl 0159.55001 Commun. Math. Phys. 8, 282-299 (1968). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 29 Documents Keywords:mechanics × Cite Format Result Cite Review PDF Full Text: DOI References: [1] After this was written, we learned thatJ. M. Cook had already treated the caseN=2 in the same spirit (see 1965 Cargèse Lectures in Theoretical Physics, edited byF. Lurcat. New York: Gordon & Breach 1967). [2] Kato, T.: Trans. Am. Math. Soc.70, 195 (1951). [3] Nelson, E.: Operator differential equations, Lemma 12.1, mimeographed lecture notes. Princeton University 1964. [4] Ruelle, D., unpublished. [5] Essentially we followJauch, J. M., Helv. Physica Acta31, 661 (1958), but we prefer a different definition of theS-operator, due toBerezin, F. A., L. D. Faddeev, andR. A. Minlos, Proceedings of the Fourth All-Union Mathematical Conference, held in Leningrad 1961. [6] This is a classical result: seeSiegel, C. L.: Vorlesungen über Himmelsmechanik, § 30, Berlin, Göttingen, Heidelberg: Springer 1956. I am indebted toR. Jost for this remark. [7] For the quantum mechanical proof seeHack, M. N.: Nuovo Cimento13, 231 (1959). · Zbl 0086.42804 · doi:10.1007/BF02727547 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.