A pseudoCoulombian potential in D=1 dimensional space

In the D =1 dimensional space, we study the bound state solutions of the potential ( e , b >0). They occur on the right half-plane x ∊[0, ∞[. In the limit b →0, we recover the spectrum of the D =1 Coulomb potential. Supersymmetric properties are briefly discussed. The model is extended by conside...

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Bibliographic Details
Published in:Physica scripta 2009-12, Vol.80 (6), p.065005-065005 (7)
Main Authors: Lombard, R J, Mezhoud, R, Yekken, R
Format: Article
Language:English
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Summary:In the D =1 dimensional space, we study the bound state solutions of the potential ( e , b >0). They occur on the right half-plane x ∊[0, ∞[. In the limit b →0, we recover the spectrum of the D =1 Coulomb potential. Supersymmetric properties are briefly discussed. The model is extended by considering complex coupling constants. Nonlinear effects are also treated by considering a linear energy dependence of the e coupling constant.
ISSN:1402-4896
0031-8949
1402-4896
DOI:10.1088/0031-8949/80/06/065005