Quantum stochastic calculus on interacting Fock spaces: semimartingale estimates and stochastic integral | Zendy

Vitonofrio Crismale | Zendy

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Quantum stochastic calculus on interacting Fock spaces: semimartingale estimates and stochastic integral

Author(s) -

Vitonofrio Crismale

Publication year - 2007

Publication title -

communications on stochastic analysis

Language(s) - English

Resource type - Journals

eISSN - 2688-6669

pISSN - 0973-9599

DOI - 10.31390/cosa.1.2.10

Subject(s) - semimartingale , quantum stochastic calculus , stochastic calculus , fock space , stratonovich integral , mathematics , malliavin calculus , calculus (dental) , stochastic integral , quantum , pure mathematics , algebra over a field , mathematical analysis , stochastic differential equation , riemann integral , integral equation , physics , quantum process , quantum mechanics , quantum dynamics , fourier integral operator , medicine , stochastic partial differential equation , dentistry , differential equation

A quantum stochastic integration theory on interacting Fock spaces (IFS) is developed. We present the semi-martingale inequalities either in standard general IFS or in 1-mode type IFS, which allow us to introduce the definitions of integrable processes and construct stochastic integrals satisfying some useful properties which will be presented in [13].

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