Annihilation-derivative, creation-derivative and representation of quantum martingales

Un Cig Ji, Nobuaki Obata

研究成果: Article査読

23 被引用数 (Scopus)

抄録

On the basis of the quantum white noise theory we introduce the notion of creation- and annihilation-derivatives of Fock space operators and study the differentiability of white noise operators. We define the Hitsuda-Skorohod quantum stochastic integrals by the adjoint actions of quantum stochastic gradients and show explicit formulas for their creation- and annihilation-derivatives. As an application, we derive direct formulas for the integrands in the quantum stochastic integral representation of a regular quantum martingale.

本文言語English
ページ(範囲)751-775
ページ数25
ジャーナルCommunications in Mathematical Physics
286
2
DOI
出版ステータスPublished - 2009 3 1

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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