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New boson realization ofSU(1,1) algebra and its coherent state in the three-mode fock space

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Il Nuovo Cimento B (1971-1996)

Summary

A new three-mode boson realization of theSU(1, 1) Lie algebra is found, on the basis of which a new unitary operatorU generating a normalizableSU(1, 1) coherent state from the vacuum is derived. The transformation properties of bose operators under theU transformation are obtained, which exhibit squeezing.

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Author notes

  1. Fan Hong-Yi

    Present address: Department of Modern Physics and Department of Material Science and Engineering, China University of Science and Technology, Hefei, Anhui, P.R. China

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    1. Fan Hong-Yi
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    Hong-Yi, F. New boson realization ofSU(1,1) algebra and its coherent state in the three-mode fock space. Nuov Cim B 107, 1–7 (1992). https://doi.org/10.1007/BF02726877

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    • DOI: https://doi.org/10.1007/BF02726877

    PACS 03.65.Ca

    PACS 02.20

    PACS 42.50.Dv

    PACS 02.90

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