EIGENVALUE CORRECTOR FOR SOLVING BOUND-STATES OF MULTICHANNEL SCHRODINGER-EQUATIONS

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	EIGENVALUE CORRECTOR FOR SOLVING BOUND-STATES OF MULTICHANNEL SCHRODINGER-EQUATIONS
	DU, ML; DU, ML , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA.
刊名	COMPUTER PHYSICS COMMUNICATIONS
	1993
卷号	76 期号:1 页码:39-47
关键词	Scattering
ISSN号	0010-4655
英文摘要	An eigenvalue corrector is given for solving bound states in multichannel Schrodinger equations. Using the renormalized Numerov method the multichannel equation is integrated from both left and right to the middle. The integrations define an approximate solution which is used to calculate the eigenvalue corrector. The eigenvalue corrector formula is derived from the Newton-Raphson method and accurate to first order in energy. An iterative calculation using the present corrector has the advantages that the starting energy is not required to be close to a true eigenvalue and that the convergence rate is quadratic. The theory is illustrated using a model two-channel eigenvalue problem. The results obtained here for the multichannel case are generalizations of those obtained by Cooley for the one-channel case. When the present iterative method is combined with the node counting method for locating the energy interval of a desired level, it provides a very powerful method for solving multichannel eigenvalue problems.
学科主题	Physics
URL标识	查看原文
公开日期	2012-08-29
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/12034]
专题	理论物理研究所_理论物理所1978-2010年知识产出
通讯作者	DU, ML , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA.
推荐引用方式 GB/T 7714	DU, ML,DU, ML , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA.. EIGENVALUE CORRECTOR FOR SOLVING BOUND-STATES OF MULTICHANNEL SCHRODINGER-EQUATIONS[J]. COMPUTER PHYSICS COMMUNICATIONS,1993,76(1):39-47.
APA	DU, ML,&DU, ML , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA..(1993).EIGENVALUE CORRECTOR FOR SOLVING BOUND-STATES OF MULTICHANNEL SCHRODINGER-EQUATIONS.COMPUTER PHYSICS COMMUNICATIONS,76(1),39-47.
MLA	DU, ML,et al."EIGENVALUE CORRECTOR FOR SOLVING BOUND-STATES OF MULTICHANNEL SCHRODINGER-EQUATIONS".COMPUTER PHYSICS COMMUNICATIONS 76.1(1993):39-47.