Multidimensional Quantum Stochastic Integrals

Quantum stochastic analogues (H, A,{A(z)}(z is an element of R+), m, R+), of a classical stochastic base may be formed whereby a classical sample space Omega is replaced by a Hilbert Space H, sigma-field F is replaced by a von Neumann algebra l, the filtration {F-i}(i is an element of I) by a filtration {l(z)}(z) of von Neumann subalgebras of the von Neumann algebra C and the probability measure P with gage m [1]. In this presentation we consider quantum analogues for multidimensional stochastic processes, extending quantum results in [2, 3, 4, 5, 6, 7, 8].