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An investigation of (nonadditive) scattering invariants in classical mechanics and quantum theory by differential topological methods

Requardt, Manfred (1987) An investigation of (nonadditive) scattering invariants in classical mechanics and quantum theory by differential topological methods. Journal of Mathematical Physics, 28 (8). pp. 1827-1836. ISSN 0022-2488. http://resolver.caltech.edu/CaltechAUTHORS:REQjmp87

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Abstract

The structure of invariants of the scattering transformation in (relativistic and nonrelativistic) classical mechanics and quantum theory is investigated and a constructive approach to finding and classifying them by exploiting and developing certain differential topological methods is provided. While, in the form of various by-products, results about the perhaps better known so-called additive scattering invariants are (re)derived, the primary concern here is with the less well-known nonadditive (i.e., several particle) conserved quantities.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1063/1.527442DOIUNSPECIFIED
http://link.aip.org/link/?JMAPAQ/28/1827/1PublisherUNSPECIFIED
Additional Information:Copyright © 1987 American Institute of Physics. Received 20 March 1986; accepted 8 April 1987. Most of this paper was written while I was a guest at the California Institute of Technology. I would like to thank Professor W. A. Luxemburg and Professor B. Simon for their kind hospitality. I would also like to thank the Deutsche Forschungsgemeinschaft for financial support.
Funders:
Funding AgencyGrant Number
Deutsche Forschungsgemeinschaft (DFG)UNSPECIFIED
Subject Keywords:INVARIANCE PRINCIPLES, SCATTERING THEORY, TRANSFORMATIONS, CLASSICAL MECHANICS, QUANTUM MECHANICS, CLASSIFICATION, TOPOLOGY, COLLISION INTEGRALS, HAMILTONIANS, QUANTUM FIELD THEORY, MATHEMATICAL MANIFOLDS
Record Number:CaltechAUTHORS:REQjmp87
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:REQjmp87
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ID Code:12025
Collection:CaltechAUTHORS
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Deposited On:20 Oct 2008 18:20
Last Modified:26 Dec 2012 10:25

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