Hilbert spaces of analytic functions and generalized coherent states

DOI PDF 被引用文献2件
  • M. Arik
    Department of Physics, University of Pittsburgh, Pittsburgh, Pennsylvania 15260
  • D. D. Coon
    Department of Physics, University of Pittsburgh, Pittsburgh, Pennsylvania 15260

書誌事項

公開日
1976-04-01
DOI
  • 10.1063/1.522937
公開者
AIP Publishing

この論文をさがす

説明

<jats:p>Generalized coherent states which are associated with a generalization of the harmonic oscillator commutation relation are investigated. It is shown that these states form an overcomplete basis in a Hilbert space of analytic functions. The generalized creation and annihilation operators are bounded except in a limit in which they reduce to the usual boson creation and annihilation operators. In this limit the Hilbert space of analytic functions reduces to the Bargmann–Segal Hilbert space of entire functions and in another limit it reduces to the Hardy–Lebesgue space.</jats:p>

収録刊行物

被引用文献 (2)*注記

もっと見る

詳細情報 詳細情報について

問題の指摘

ページトップへ