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https://libjncir.jncasr.ac.in/xmlui/handle/10572/2583| Title: | A Homomorphism Theorem and a Trotter Product Formula for Quantum Stochastic Flows with Unbounded Coefficients |
| Authors: | Das, Biswarup Goswami, Debashish Sinha, Kalyan B. |
| Keywords: | Mathematical Physics UHF Algebras Semigroups Existence |
| Issue Date: | 2014 |
| Publisher: | Springer |
| Citation: | Das, B; Goswami, D; Sinha, KB, A Homomorphism Theorem and a Trotter Product Formula for Quantum Stochastic Flows with Unbounded Coefficients. Communications In Mathematical Physics 2014, 330 (2) 435-467, http://dx.doi.org/10.1007/s00220-014-1993-1 Communications In Mathematical Physics 330 2 |
| 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). |
| Description: | Restricted Access |
| URI: | https://libjncir.jncasr.ac.in/xmlui/10572/2583 |
| ISSN: | 0010-3616 |
| Appears in Collections: | Research Articles (Kalyan B. Sinha) |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| 7.pdf Restricted Access | 412.31 kB | Adobe PDF | View/Open Request a copy |
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