2011/12/01 by V. P. Belavkin, Viacheslav P. Belavkin, Belavkin, Viacheslav P. +2
Mathematics · Physics and Astronomy · #81S25 #Advanced Operator Algebra Research #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Quantum Physics (quant-ph) #Random Matrices and Applications #Spectral Theory in Mathematical Physics #math-ph #math.MP #math.QA #msc:81S25 #quant-ph
paper · pdf · doi:10.48550/arxiv.1112.0159
Due to appear in communications on stochastic analysis journal (KRP volume). 21 pages
arxiv created 2011/12/01 · openalex publication_date 2011/12/01 · arxiv updated 2011/12/02 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28
We study the continuity property of multiple Q-adapted quantum stochastic integrals with respect to noncommuting integrands given by the non-adapted multiple integral kernels in Fock scale. The noncommutative algebra of relatively (exponentially) bounded nonadapted quantum stochastic processes is studied in the kernel form as introduced by Belavkin in 1991. The differential Q-adapted formula generalizing Ito product formula for adapted integrals is presented in both strong and weak sense as a particular case of the quantum stochastic nonadapted Ito formula.