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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.
1993
发表期刊COMPUTER PHYSICS COMMUNICATIONS
ISSN0010-4655
卷号76期号:1页码:39-47
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.
关键词Scattering
学科领域Physics
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收录类别SCI
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/12034
专题理论物理所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.
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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.
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