Structure des cocycles markoviens sur l'espace de Fock

Summary We show that strongly continuous unitary Markov cocycles on Fock space are solutions of a quantum stochastic Schrödinger equation and give their explicit form through a decomposition of Fock space on the eigenspaces of the number operator. We also give necessary and sufficient conditions for a generalized Hamiltonian to be the generator of such a cocycle. This generalizes the work of Hudson and Parthasarathy in the norm-continuous case.