Communications in Mathematical Physics

, Volume 330, Issue 2, pp 435–467 | Cite as

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

  • Biswarup Das
  • Debashish GoswamiEmail author
  • Kalyan B. Sinha


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).


Analytic Semigroup Strong Operator Topology Weak Operator Topology Projective Tensor Product Quantum Dynamical Semigroup 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Biswarup Das
    • 1
  • Debashish Goswami
    • 2
    Email author
  • Kalyan B. Sinha
    • 3
  1. 1.Institute of Mathematics of Polish Academy of SciencesWarszawaPoland
  2. 2.Indian Statistical InstituteKolkataIndia
  3. 3.J.N. Centre for Advanced Scientific ResearchIndian Institute of ScienceBangaloreIndia

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