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 |
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ページ(範囲) | 751-775 |
ページ数 | 25 |
ジャーナル | Communications in Mathematical Physics |
巻 | 286 |
号 | 2 |
DOI | |
出版ステータス | Published - 2009 3月 |
ASJC Scopus subject areas
- 統計物理学および非線形物理学
- 数理物理学