Quantum Stochastic Cable Equation Acting on Functionals of Discrete-Time Normal Martingales
Suling Ren (),
Yuling Tang (),
Jinshu Chen () and
Caishi Wang ()
Advances in Mathematical Physics, 2019, vol. 2019, 1-8
Let be a discrete-time normal martingale satisfying some mild conditions. Then Gelâ€™fand triple can be constructed of functionals of , where elements of are called testing functionals of , while elements of are called generalized functionals of . In this paper, we consider a quantum stochastic cable equation in terms of operators from to . Mainly with the 2D-Fock transform as the tool, we establish the existence and uniqueness of a solution to the equation. We also examine the continuity of the solution and its continuous dependence on initial values.
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:9382079
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