### Abstract

Coherent states for the harmonic oscillator representations of the noncompact supergroup Osp(1/2N,script R sign) 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.

Original language | English (US) |
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Pages (from-to) | 1634-1639 |

Number of pages | 6 |

Journal | Journal of Mathematical Physics |

Volume | 29 |

Issue number | 7 |

DOIs | |

State | Published - Jan 1 1988 |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Balantekin, A. B., Schmitt, H. A., & Barrett, B. R. (1988). Coherent states for the harmonic oscillator representations of the orthosymplectic supergroup Osp(1/2N,script R sign).

*Journal of Mathematical Physics*,*29*(7), 1634-1639. https://doi.org/10.1063/1.528189