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On the implementation of Sμ U(2) action in the irreducible representations of twisted canonical commutation relations

Abstract

The natural Sμ U(2) action on the creation and annihilation operators satisfying twisted canonical commutation relations (TCCR) is investigated. It is shown that the Fock representation is the only covariant irreducible representation of TCCR.

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Partially supported by the program RP.1.10.

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Pusz, W. On the implementation of Sμ U(2) action in the irreducible representations of twisted canonical commutation relations. Letters in Mathematical Physics 21, 59–67 (1991). https://doi.org/10.1007/BF00414636

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AMS subject classifications (1980)

  • 20N99
  • 81D05
  • 47D40