A Homomorphism Theorem and a Trotter Product Formula for Quantum Stochastic Flows with Unbounded Coefficients

作者：Das Biswarup^*; Goswami Debashish; Sinha Kalyan B

来源：Communications in Mathematical Physics, 2014, 330(2): 435-467.

DOI：10.1007/s00220-014-1993-1

We give a new method for proving the homomorphic property of a quantum stochastic flow satisfying a quantum stochastic differential equation with unbounded coefficients, under some further hypotheses. As an application, we prove a Trotter product formula for quantum stochastic flows and obtain quantum stochastic dilations of a class of quantum dynamical semigroups generalizing results of Goswami et al. (Inst H Poincare Probab Stat 41:505-522, 2005).

• 出版日期2014-9