Coherent states for the harmonic oscillator representations of the orthosymplectic supergroup Osp(1/2<i>N</i>,R)

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  • A. B. Balantekin
    Department of Physics, University of Wisconsin, Madison, Wisconsin 53706
  • H. A. Schmitt
    Department of Physics, University of Wisconsin, Madison, Wisconsin 53706 and Department of Physics, University of Arizona, Tucson, Arizona 85721
  • B. R. Barrett
    Physics Division, National Science Foundation, Washington, D.C. 20550 and Department of Physics, University of Arizona, Tucson, Arizona 85721

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<jats:p>Coherent states for the harmonic oscillator representations of the noncompact supergroup Osp(1/2N,R) are introduced and the invariant integration measure is calculated by studying transformation properties of supercoset variables. The generalized Bogoliubov transformation for mixed systems of bosons and fermions is also obtained. An example for the simple harmonic oscillator is given.</jats:p>

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