## Quantum probability and applications III: proceedings of a conference held in Oberwolfach, FRG, January 25-31, 1987These proceedings of the first Quantum Probability meeting held in Oberwolfach is the fourth in a series begun with the 1982 meeting of Mondragone and continued in Heidelberg ('84) and in Leuven ('85). The main topics discussed were: quantum stochastic calculus, mathematical models of quantum noise and their applications to quantum optics, the quantum Feynman-Kac formula, quantum probability and models of quantum statistical mechanics, the notion of conditioning in quantum probability and related problems (dilations, quantum Markov processes), quantum central limit theorems. With the exception of Kümmerer's review article on Quantum Markov Processes, all contributions are original research papers. |

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### Contents

CONTKNTS | vii |

Accardl and F Fagnola Stochastic Integration 6 | 20 |

A Barchielli Input and Output Channels in Quantum Systems | 37 |

Copyright | |

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Accardi adapted processes adjoint automorphism Bernoulli-shift bounded Brownian motion canonical classical cocycle commutative conditional expectation conditionally positive consider construction continuous converges corresponding defined denote density dynamical system Edited elements entropy ergodic evolution example exists exponential vectors field finite Fock space formula Frigerio given Hamiltonian hence hermitian Hilbert space homomorphism implies invariant isometry isomorphism Ito's kernel Lecture Notes Lemma linear functional Markov dilation Markov process martingale Math Mathematics measure morphism Neumann algebra noise non-commutative norm notation obtain operator Parthasarathy Phys pointwise positive definite Proceedings projection Proof Proposition prove quantum diffusions quantum Poisson process Quantum Probability quantum stochastic quasi-free random variable representation respect result satisfying self-adjoint semigroup semimartingale shift Springer-Verlag stationary process stochastic calculus stochastic differential equations stochastic integral stochastic process subalgebra symmetric tensor of type tensor product theory topology transform unitary values W*-algebra