### 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) |
---|---|

Pages (from-to) | 1634-1639 |

Number of pages | 6 |

Journal | Journal of Mathematical Physics |

Volume | 29 |

Issue number | 7 |

State | Published - 1988 |

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### ASJC Scopus subject areas

- Organic Chemistry

### Cite this

*Journal of Mathematical Physics*,

*29*(7), 1634-1639.

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

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 29, no. 7, pp. 1634-1639.

}

TY - JOUR

T1 - Coherent states for the harmonic oscillator representations of the orthosymplectic supergroup Osp(1/2N,script R sign)

AU - Balantekin, A. B.

AU - Schmitt, H. A.

AU - Barrett, Bruce R

PY - 1988

Y1 - 1988

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0000767525&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000767525&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0000767525

VL - 29

SP - 1634

EP - 1639

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 7

ER -