Continuum states of modified Morse potential

Using a proper approximation scheme to the centrifugal term, we study any l-wave continuum states of the Schrodinger equation for the modified Morse potential. The normalised analytical radial wave functions are presented, and a corresponding calculation formula of phase shifts is derived. It is sho...

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Bibliographic Details
Published inChinese physics B Vol. 19; no. 9; pp. 123 - 128
Main Author 卫高峰 陈文利
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.09.2010
Subjects
Approximation
Continuums
Mathematical analysis
Morse potential
Morse势
Poles
Scattering amplitude
Schroedinger equation
Wave functions
归一化径向波函数
散射振幅
数值结果
薛定谔方程
连续态
Online AccessGet full text
ISSN1674-1056
2058-3834
DOI10.1088/1674-1056/19/9/090308

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Summary:Using a proper approximation scheme to the centrifugal term, we study any l-wave continuum states of the Schrodinger equation for the modified Morse potential. The normalised analytical radial wave functions are presented, and a corresponding calculation formula of phase shifts is derived. It is shown that the energy levels of the continuum states reduce to those of the bound states at the poles of the scattering amplitude. Some numerical results are calculated to show the accuracy of our results.
Bibliography:O413.1
modified Morse potential, continuum states, approximate analytical solutions
O562.5
11-5639/O4
ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/19/9/090308