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文章基本信息

  • 标题:Quantum Stochastic Cable Equation Acting on Functionals of Discrete-Time Normal Martingales
  • 作者:Yuling Tang ; Yuling Tang ; Caishi Wang
  • 期刊名称:Advances in Mathematical Physics
  • 印刷版ISSN:1687-9120
  • 电子版ISSN:1687-9139
  • 出版年度:2019
  • 卷号:2019
  • DOI:10.1155/2019/9382079
  • 出版社:Hindawi Publishing Corporation
  • 摘要:Let be a discrete-time normal martingale satisfying some mild conditions. Then Gel’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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