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Accardi Some trends and problems in quantum probability
R Alicki Scattering theory for quantum dynamical semigroups
Barnett R F Streater I F Wilde Quantum stochastic processes
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abelian Accardi analogue associated assume automorphism bounded Brownian motion C*-algebra canonical classical commutative completely positive conditional expectation consider continuous convergence corresponding covariant cyclic defined definition denote density derivations dynamical semigroup dynamical system elements equilibrium equivalent ergodic ergodic theory evolution example exists faithful normal field finite Fock Fock space function Gaussian given Hamiltonian system Heisenberg algebra hence Hilbert space implies inequality invariant isomorphism K-system Langevin equation lattice Lemma Markov dilation martingale Math mathematical matrix Neumann algebras non-commutative norm notations observables obtain operator orthogonal orthomodular lattices oscillator particle Phys physical probability measure problem projection proof properties Proposition prove quantum Brownian motion quantum mechanics quantum systems quantum theory relation representation result satisfying self-adjoint self-adjoint operator semigroup sequence solution spectrum statistical stochastic differential equation stochastic mechanics subalgebra subspace Theorem tion transition probability unique unitary unitary operator vector W*-K-systems