Stability of Finite Difference Solution of Time-Dependent Schrodinger Equations

Ohwadua, Emmanuel

dc.contributor.author	Ohwadua, Emmanuel
dc.date.accessioned	2024-05-09T07:56:14Z
dc.date.available	2024-05-09T07:56:14Z
dc.date.issued	2023-05-24
dc.identifier.citation	Ohwadua , E. O. (2023). Stability of Finite Difference Solution of Time-Dependent Schrodinger Equations. Journal of Advances in Mathematics and Computer Science, 38(7), 167–180. https://doi.org/10.9734/jamcs/2023/v38i71782	en_US
dc.identifier.issn	2456-9968
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/1065
dc.description.abstract	In this paper, the stability of finite difference methods for time-dependent Schrodinger equation with Dirichlet boundary conditions on a staggered mesh was considered with explicit and implicit discretization. Using the matrix representation for the numerical algorithm, it is shown that for the explicit finite difference method, the solution is conditionally stable while it becomes unconditionally stable for implicit finite difference methods. A 1D Harmonic Oscillator problem shall be used to illustrate this behaviour.	en_US
dc.language.iso	en	en_US
dc.publisher	Journal of Advances in Mathematics and Computer Science	en_US
dc.relation.ispartofseries	Volume 38, Issue 7;167-180
dc.subject	Schrodinger equation; finite difference; discretization; Dirichlet boundary conditions; Crank-Nicolson.	en_US
dc.title	Stability of Finite Difference Solution of Time-Dependent Schrodinger Equations	en_US
dc.type	Article	en_US