Deformations of algebras constructed using quantum stochastic calculus

Deformations of associative algebras in which time is the deformation param eter are constructed using quantum stochastic flows in which the usual mult iplicativity requirement is replaced by multiplicativity with respect to th e deformed multiplication. The theory is restricted by a commutativity requ irement on the structure maps of the flow, but examples which can be constr ucted in this way include the noncommutative torus and the Weyl-Moyal defor mation.