Quantum Stochastic Cable Equation Acting on Functionals of Discrete-Time Normal Martingales
Joint Authors
Wang, Caishi
Chen, Jinshu
Tang, Yuling
Ren, Suling
Source
Advances in Mathematical Physics
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-01-01
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Let M be a discrete-time normal martingale satisfying some mild conditions.
Then Gel’fand triple S(M)⊂L2(M)⊂S⁎(M) can be constructed of functionals of M, where elements of S(M) are called testing functionals of M, while elements of S⁎(M) are called generalized functionals of M.
In this paper, we consider a quantum stochastic cable equation in terms of operators from S(M) to S⁎(M).
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.
American Psychological Association (APA)
Tang, Yuling& Wang, Caishi& Ren, Suling& Chen, Jinshu. 2019. Quantum Stochastic Cable Equation Acting on Functionals of Discrete-Time Normal Martingales. Advances in Mathematical Physics،Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1119053
Modern Language Association (MLA)
Tang, Yuling…[et al.]. Quantum Stochastic Cable Equation Acting on Functionals of Discrete-Time Normal Martingales. Advances in Mathematical Physics No. 2019 (2019), pp.1-8.
https://search.emarefa.net/detail/BIM-1119053
American Medical Association (AMA)
Tang, Yuling& Wang, Caishi& Ren, Suling& Chen, Jinshu. Quantum Stochastic Cable Equation Acting on Functionals of Discrete-Time Normal Martingales. Advances in Mathematical Physics. 2019. Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1119053
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119053