Abstract
The asymptotic condition is formulated for a system whose theory is more general than quantum mechanics. Its logic ℒ forms an orthocomplemented weakly modular σ-lattice. The set of states ℒ, consisting of all the probability measures on ℒ, is endowed with the most suitable metric physically, called here the natural one. In this space it is proved that the asymptotic condition implies the existence of two convex automorphismsΩ +- of ℒ which we call the wave-automorphisms. From these theS-automorphismΩ −1− Ω + is defined and corresponds to the scattering operator in conventional quantum theory.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Jauch, J. M. (1958).Helvetica Physica Acta,31, 127.
Jauch, J. M. (1968a).Foundations of Quantum Mechanics, p. 68. Addison-Wesley, Reading, Mass.
Jauch, J. M., Misra, B. and Gibson, A. G. (1968b).Helvetica Physica Acta,41, 513.
Kronfli, N. S. (1969). Birkbeck College preprint. (Presented for publication.)
Varadarajan, V. S. (1968).Geometry of Quantum Theory, Vol. I, p. 105. Van Nostrand, Princeton, N.J.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kronfli, N.S. Abstract scattering theory. Int J Theor Phys 2, 345–349 (1969). https://doi.org/10.1007/BF00670701
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00670701