Quantum stochastic integral representations of Fock space operators

Un Cig Ji, Nobuaki Obata

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

Abstract

An (unbounded) operator on Boson Fock space over L2(R+) is called regular if it is an admissible white noise operator such that the conditional expectations give rise to a regular quantum martingale. We prove that an admissible white noise operator is regular if and only if it admits a quantum stochastic integral representation.

Original languageEnglish
Pages (from-to)367-384
Number of pages18
JournalStochastics
Volume81
Issue number3-4
DOIs
Publication statusPublished - 2009 Nov 26

Keywords

  • Annihilation-derivative
  • Creation-derivative
  • Fock space
  • Quantum martingale
  • Quantum stochastic gradient
  • Quantum stochastic integral
  • Quantum stochastic process
  • Quantum white noise
  • Regular operator

ASJC Scopus subject areas

  • Statistics and Probability
  • Modelling and Simulation

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