Abstract
A procedure for constructing scattering amplitudes for production processes that is exactly unitary, preserves the bosonic character of the many-particle states, and is invariant with respect to an underlying symmetry group is given. Two simple models, dealing with isospin internal symmetry and the two-dimensional Euclidean space group are presented which illustrate how scattering amplitudes can be represented as matrix elements of groups whose action commutes with the action of the invariance group on the relevant Fock space.
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References
Howe R.: Dual pairs in physics,in Applications of group theory in physics and mathematics (Eds. M. Flato, P. Sally, G. Zuckerman). Am. Math. Soc., Providence (RI), 1985.
Segal L: Trans. Am. Math. Soc.81 (1956) 106;
Bargmann V.: Proc. Natl. Acad. Sci.48 (1962) 199.
Sally P.: Memoirs of the American Mathematical Society. Am. Math. Soc., Providence (RI), 1967.
Klink W. H.: Scattering operators on Fock space, III. (submitted to J. Phys. A).
Klink W. H.:in Lectures in theoretical physics (Eds. K. T. Mahanthappa, W. E. Brittin). Gordon and Breach Science Publishers, Inc., New York, 1969, Vol. XI D, p. 43.
Supersymmetry in physics (Eds V. A. Kostelecky, D. K. Cmpbell). North Holland, Amsterdam, 1985; Physica D15 (1981) 1, and references cited therein.
Klink W. H.: Nucl. Phys. B86 (1975) 175; Phys. Rev. D11 (1975) 2278.
Klink W. H.: Phys. Rev. A20 (1979) 1864; J. Math. Phys.20 (1979) 2511.
Klink W. H.: Scattering operators on Fock space, II. (submitted to J. Phys. A).
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Klink, W.H. Dual pairs and representations of scattering amplitudes. Czech J Phys 37, 329–337 (1987). https://doi.org/10.1007/BF01597259
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DOI: https://doi.org/10.1007/BF01597259