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Internal Symmetry Cannot Be Concealed

J. Math. Phys. 11, 1995 (1970); doi:10.1063/1.1665356

Issue Date: June 1970

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Paul B. Kantor
Department of Physics, Case Western Reserve University, Cleveland, Ohio 44106
We consider the problem of determining whether a given ``particle'' is elementary or is some member of a degenerate multiplet corresponding to an exact symmetry. We discuss a double-scattering experiment which can make this determination unless the members of the multiplet are unable to distinguish one another. Finally, such an inability is shown to be incompatible with the usual relation between spin and statistics and known analyticity properties of scattering amplitudes for strongly interacting particles. ©1970 The American Institute of Physics
History: Received 9 December 1969
Permalink: http://link.aip.org/link/?JMAPAQ/11/1995/1
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PUBLICATION DATA

ISSN:
0022-2488 (print)   1089-7658 (online)
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REFERENCES (3)

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  1. An elementary discussion of the density matrix is given by A. Messiah, Quantum Mechanics (North-Holland, Amsterdam, 1961), pp. 331 et seq.
  2. This is a consequence of the axioms of field theory. H. Lehmann, Nuovo Cimento 10, 579 (1958).
  3. The standard reference for all such questions is R. Streater and A. S. Wightman, PCT, Spin and Statistics and All That (Benjamin, New York, 1964), p. 146.

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