Summary
We show that strongly continuous unitary Markov cocycles on Fock space are solutions of a quantum stochastic Schrödinger equation and give their explicit form through a decomposition of Fock space on the eigenspaces of the number operator. We also give necessary and sufficient conditions for a generalized Hamiltonian to be the generator of such a cocycle. This generalizes the work of Hudson and Parthasarathy in the norm-continuous case.
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Journé, J.L. Structure des cocycles markoviens sur l'espace de Fock. Probab. Th. Rel. Fields 75, 291–316 (1987). https://doi.org/10.1007/BF00354039
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DOI: https://doi.org/10.1007/BF00354039