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

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(1/2N,script R sign)

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

Physics

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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
DOIs	https://doi.org/10.1063/1.528189
State	Published - 1988

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.528189

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

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.",

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AU - Schmitt, H. A.

AU - Barrett, B. 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.

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

Abstract

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