A homomorphism theorem and a trotter product formula for quantum stochastic flows with unbounded coefficients

Das, Biswarup ; Goswami, Debashish ; Sinha, Kalyan B. (2014) A homomorphism theorem and a trotter product formula for quantum stochastic flows with unbounded coefficients Communications in Mathematical Physics, 330 (2). pp. 435-467. ISSN 0010-3616

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Official URL: http://link.springer.com/article/10.1007/s00220-01...

Related URL: http://dx.doi.org/10.1007/s00220-014-1993-1

Abstract

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).

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