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Quantizations of the system of two indistinguishable particles

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Czechoslovak Journal of Physics B Aims and scope

Abstract

Starting from the doubly connected configuration manifoldM 2,3 for the system of two indistinguishable particles inR 3, its two inequivalent quantizations are explicitly constructed. The geometric patching procedure for the global construction of a principal bundle with the gauge groupU(1) out of its trivializations over a suitably chosen set of open neighbourhoods coveringM 2,3 is used.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Technische Universität, Clausthal, Leibnizstr., 3392, Clausthal, Federal Republic of Germany

    H. D. Doebner

  2. Faculty of Nuclear Science and Physical Engineering, Technical University, Prague, Břehová 7, 115 19, Praha 1, Czechoslovakia

    P. Št'ovíček & J. Tolar

Authors
  1. H. D. Doebner
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  2. P. Št'ovíček
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  3. J. Tolar
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Additional information

Dedicated to Professor Ivan Úlehla on the occasion of his sixtieth birthday.

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Doebner, H.D., Št'ovíček, P. & Tolar, J. Quantizations of the system of two indistinguishable particles. Czech J Phys 31, 1240–1248 (1981). https://doi.org/10.1007/BF01603583

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  • DOI: https://doi.org/10.1007/BF01603583

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