On the absolutely and singularly continuous subspaces in scattering theory
Quantum random walk revisited
In the framework of the symmetric Fock space over L²(ℝ₊), the details of the approximation of the four fundamental quantum stochastic increments by the four appropriate spin-matrices are studied. Then this result is used to prove the strong convergence of a quantum random walk as a map from an initial algebra 𝓐 into 𝓐 ⊗ ℬ (Fock(L²(ℝ₊))) to a *-homomorphic quantum stochastic flow.
Markov chains as Evans-Hudson diffusions in Fock space
Characterization of unitary processes with independent and stationary increments
This is a continuation of the earlier work ( (2009) 745–785) to characterize unitary stationary independent increment gaussian processes. The earlier assumption of uniform continuity is replaced by weak continuity and with technical assumptions on the domain of the generator, unitary equivalence of the process to the solution of an appropriate Hudson–Parthasarathy equation is proved.
Asymptotic completeness in long range scattering. II
Dilation of a class of quantum dynamical semigroups with unbounded generators on UHF algebras
Configuration space properties of the scattering operator and time delay for potentials decaying like
On the completeness in three body scattering
Page 1