Almost exact boundary condition for one-dimensional Schr?dinger equations

doi:10.1103/PhysRevE.86.066709

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	Almost exact boundary condition for one-dimensional Schr?dinger equations
	Pang Gang ; Bian Lei ; Tang Shaoqiang
刊名	physical review e statistical nonlinear and soft matter physics
	2012
DOI	10.1103/PhysRevE.86.066709
英文摘要	An explicit local boundary condition is proposed for finite-domain simulations of the linear Schr?dinger equation on an unbounded domain. Based on an exact boundary condition in terms of the Bessel functions, it takes a simple form with 16 neighboring grid points, and it involves no empirical parameter. While the computing load is rather low, the proposed boundary condition is effective in reflection suppression, comparable to the exact convolution treatments. An extension to nonlinear Schr?dinger equations is also proposed. Numerical comparisons clearly demonstrate the effectiveness of this ALmost EXact (ALEX) boundary condition for both the linear and the cubic nonlinear Schr?dinger equations.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000312838400010&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; SCI(E); EI; PubMed; 5; 6 Pt 2; 066709; 86
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/315659]
专题	工学院
推荐引用方式 GB/T 7714	Pang Gang,Bian Lei,Tang Shaoqiang. Almost exact boundary condition for one-dimensional Schr?dinger equations[J]. physical review e statistical nonlinear and soft matter physics,2012.
APA	Pang Gang,Bian Lei,&Tang Shaoqiang.(2012).Almost exact boundary condition for one-dimensional Schr?dinger equations.physical review e statistical nonlinear and soft matter physics.
MLA	Pang Gang,et al."Almost exact boundary condition for one-dimensional Schr?dinger equations".physical review e statistical nonlinear and soft matter physics (2012).