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

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

Research output: Contribution to journalArticle

54 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)1634-1639
Number of pages6
JournalJournal of Mathematical Physics
Volume29
Issue number7
StatePublished - 1988

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Bosons
Fermions
Coherent States
Harmonic Oscillator
harmonic oscillators
bosons
fermions
Invariant

ASJC Scopus subject areas

  • Organic Chemistry

Cite this

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.

In: Journal of Mathematical Physics, Vol. 29, No. 7, 1988, p. 1634-1639.

Research output: Contribution to journalArticle

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