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

A. B. Balantekin, H. A. Schmitt, B. R. Barrett

doi:10.1063/1.528189

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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説明

<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>