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).
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer Verlag. |
| ID Code: | 102164 |
| Deposited On: | 01 Feb 2018 04:02 |
| Last Modified: | 01 Feb 2018 04:02 |
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