Chaotic decompositions in $ℤ_2$-graded quantum stochastic calculus
Volume 43 / 1998
Banach Center Publications 43 (1998), 167-174
DOI: 10.4064/-43-1-167-174
Abstract
A brief introduction to $ℤ_2$-graded quantum stochastic calculus is given. By inducing a superalgebraic structure on the space of iterated integrals and using the heuristic classical relation df(Λ) = f(Λ + dΛ) - f(Λ) we provide an explicit formula for chaotic expansions of polynomials of the integrator processes of $ℤ_2$-graded quantum stochastic calculus.
