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Operator Realisations of Quantum Heisenberg-Weyl and SU(2) q algebras

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Deformations of Mathematical Structures II

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Abstract

The quantum-deformed Heisenberg-Weyl algebra H q and its representations are investigated. The explicit realisations of this q-deformed algebra are founded. A realisation of SU(2) q quantum group with help of only one pair of the bosonic creation and annihilation operators is obtained. Two different cases are discussed: with the use of the q-deformed and the standard Heisenberg-Weyl algebra. Finally a realisation of SU(2) q algebra in the Woronowicz sense is given.

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Author information

Authors and Affiliations

  1. Department of Theoretical Physics, University of Łódź, ul. Pomorska 149/153, 90–236, Łódź, Poland

    Stanisław Malinowski, Jakub Rembieliński & Wacław Tybor

  2. Institute of Mathematics, University of Athens, 106 79, Athens, Greece

    Loucas C. Papaloucas

Authors
  1. Stanisław Malinowski
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  2. Jakub Rembieliński
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  3. Wacław Tybor
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  4. Loucas C. Papaloucas
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Editor information

Editors and Affiliations

  1. Institute of Mathematics of the Polish Academy of Sciences, Łódź, Poland

    Julian Ławrynowicz

  2. Institute of Physics of the University of Łódź, Łódź, Poland

    Julian Ławrynowicz

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© 1994 Springer Science+Business Media Dordrecht

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Malinowski, S., Rembieliński, J., Tybor, W., Papaloucas, L.C. (1994). Operator Realisations of Quantum Heisenberg-Weyl and SU(2) q algebras. In: Ławrynowicz, J. (eds) Deformations of Mathematical Structures II. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1896-5_6

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  • DOI: https://doi.org/10.1007/978-94-011-1896-5_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4838-5

  • Online ISBN: 978-94-011-1896-5

  • eBook Packages: Springer Book Archive

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