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Parastatistics and cluster property

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Lettere al Nuovo Cimento (1971-1985)

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References

  1. A. M. L. Messiah andO. W. Greenberg:Phys. Rev.,136, B 248 (1964). This criticism does not seem to be applied to a more recent paper byM. D. Girardeau:Journ. Math. Phys.,10, 1302 (1969), which involved some assumption related to the connectivity properties of the configuration space.

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  2. O. Steinmann:Nuovo Cimento,44 A, 755 (1966).

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  3. P. V. Landshoff andH. D. Stapp:Ann. of Phys.,43, 72 (1967);J. B. Hartle andJ. R. Taylor:Phys. Rev.,178, 2043 (1968);M. E. Arons:Lett. Nuovo Cimento,1, 911 (1969).

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  4. M. Hamermesh:Group Theory and Its Application to Physical Problems (Reading Mass., 1962), p. 224.

  5. Note that (9) does not hold if thee i j cannot be chosen such that (8) is satisfied. A careful analysis reveals that the generalized rays are not the intrinsic characteristic of the theory (seeThien Vo-Dai: Université de Montréal preprint or McMaster University Ph. D. Thesis (1972)).

  6. This line of reasoning can easily be extended toN-particle systems (seeThien Vo-Dai in the reference cited above).

  7. One could argue that, to formulate a physical theory, one should knowa priori what are the physical observables and determine the states consistently with the required symmetry. It is possible to abandon the IP while still satisfying the indistinguishability of identical particles by choosing the permutation-invariant density matrix to represent the states (see the references cited in footnote (5)) Note that (9) does not hold if thee i j cannot be chosen such that (8) is satisfied. A careful analysis reveals that the generalized rays are not the intrinsic characteristic of the theory (seeThien Vo-Dai: Université de Montréal preprint or McMaster University Ph. D. Thesis (1972)).

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Authors and Affiliations

  1. Département de Physique, Université de Montréal, Montréal, P.Q.

    Thien Vo-Dai

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  1. Thien Vo-Dai
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Supported by the National Research Council of Canada and the Ministère de l’Education du Gouvernement du Québec.

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Vo-Dai, T. Parastatistics and cluster property. Lett. Nuovo Cimento 7, 108–112 (1973). https://doi.org/10.1007/BF02727610

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  • DOI: https://doi.org/10.1007/BF02727610

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