Quantum Probability for Probabilists

In recent years, the classical theory of stochastic
integration and stochastic differential equations has been
extended to a non-commutative set-up to develop models for
quantum noises. The author, a specialist of classical
stochastic calculus and martingale theory, tries to provide
anintroduction to this rapidly expanding field in a way
which should be accessible to probabilists familiar with the
Ito integral. It can also, on the other hand, provide a
means of access to the methods of stochastic calculus for
physicists familiar with Fock space analysis.