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	An exact absorbing boundary condition for the Schrodinger equation with sinusoidal potentials at infinity
	Zheng, Chunxiong
	2010-05-06 ; 2010-05-06
关键词	absorbing boundary condition sinusoidal potential Schrodinger equation unbounded domain NUMERICAL-SOLUTION IMPLEMENTATION SCHEMES Physics, Mathematical
中文摘要	In this paper we study numerical issues related to the Schrodinger equation with sinusoidal potentials at infinity. An exact absorbing boundary condition in a form of Dirichlet-to-Neumann mapping is derived. This boundary condition is based on an analytical expression of the logarithmic derivative of the Floquet solution to Mathieu's equation, which is completely new to the author's knowledge. The implementation of this exact boundary condition is discussed, and a fast evaluation method is used to reduce the computation burden arising from the involved half-order derivative operator. Some numerical tests are given to show the performance of the proposed absorbing boundary conditions.
语种	英语 ; 英语
出版者	GLOBAL SCIENCE PRESS ; WANCHAI ; ROOM 2303, OFFICER TOWER, CONVENTION PLAZA, 1 HARBOUR ROAD, WANCHAI, HONG KONG 00000, PEOPLES R CHINA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/13781]
专题	清华大学
推荐引用方式 GB/T 7714	Zheng, Chunxiong. An exact absorbing boundary condition for the Schrodinger equation with sinusoidal potentials at infinity[J],2010, 2010.
APA	Zheng, Chunxiong.(2010).An exact absorbing boundary condition for the Schrodinger equation with sinusoidal potentials at infinity..
MLA	Zheng, Chunxiong."An exact absorbing boundary condition for the Schrodinger equation with sinusoidal potentials at infinity".(2010).

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