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Title: | On the theory and application of one-step numerical schemes for solving quantum stochastic differential equation (QSDE) |
Authors: | Akinwumi, T. O. Adegboyegun, B. J. |
Keywords: | Quantum stochastic differential equation; Boson Fock space; one-step integral method; Runge–Kutta’s method |
Issue Date: | Aug-2014 |
Publisher: | World Scientific Publishing Company: Asian-European Journal of Mathematics |
Abstract: | This paper presents one-step numerical schemes for solving quantum stochastic differential equation (QSDE). The algorithms are developed based on the definition of QSDE and the solution techniques yield rapidly convergent sequences which are readily computable. As well as developing the schemes, we perform some numerical experiments and the solutions obtained compete favorably with exact solutions. The solution techniques presented in this work can handle all class of QSDEs most especially when the exact solution does not exist. |
Description: | Staff Publication |
URI: | DOI: 10.1142/S1793557114500375 http://repository.elizadeuniversity.edu.ng/jspui/handle/20.500.12398/1175 |
Appears in Collections: | Research Articles |
Files in This Item:
File | Description | Size | Format | |
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Pages from akinwumi2014.pdf | 78.35 kB | Adobe PDF | View/Open |
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